Comparing, ordering and rounding

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. They are the same, so look at the next column.
   9 and 9 are equal
2. Compare the hundreds. The first column that is different decides the order.
   1 and 5: 1 is less
3. Write the sign between the numbers. The sign points to the smaller number.
   <

Check. Check: read the sign as words. 9124 is less than 9524.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. The first column that is different decides which number is greater.

1. Compare the thousands. Look at the first digit on the left.
   8 and 5
2. Compare the thousands. This is the first column that is different.
   8 and 5
3. Write the greater number. The larger digit makes the larger number.
   8453

Check. Check: 8453 > 5629.

Watch out. Do not compare the last digits first.

Method. The first column that is different decides which number is greater.

1. Compare the thousands. Look at the first digit on the left.
   6 and 6
2. Compare the hundreds. This is the first column that is different.
   9 and 7
3. Write the greater number. The larger digit makes the larger number.
   6948

Check. Check: 6948 > 6745.

Watch out. Do not compare the last digits first.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. They are the same, so look at the next column.
   2 and 2 are equal
2. Compare the hundreds. The first column that is different decides the order.
   9 and 4: 9 is more
3. Write the sign between the numbers. The sign points to the smaller number.
   >

Check. Check: read the sign as words. 2976 is greater than 2476.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. They are the same, so look at the next column.
   8 and 8 are equal
2. Compare the hundreds. They are the same, so look at the next column.
   8 and 8 are equal
3. Compare the tens. They are the same, so look at the next column.
   1 and 1 are equal
4. Compare the ones. The first column that is different decides the order.
   2 and 6: 2 is less
5. Write the sign between the numbers. The sign points to the smaller number.
   <

Check. Check: read the sign as words. 8812 is less than 8816.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. The first column that is different decides which number is greater.

1. Compare the thousands. Look at the first digit on the left.
   8 and 4
2. Compare the thousands. This is the first column that is different.
   8 and 4
3. Write the greater number. The larger digit makes the larger number.
   8641

Check. Check: 8641 > 4653.

Watch out. Do not compare the last digits first.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. The first column that is different decides the order.
   6 and 1: 6 is more
2. Write the sign between the numbers. The sign points to the smaller number.
   >

Check. Check: read the sign as words. 6889 is greater than 1517.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. They are the same, so look at the next column.
   7 and 7 are equal
2. Compare the hundreds. They are the same, so look at the next column.
   9 and 9 are equal
3. Compare the tens. The first column that is different decides the order.
   6 and 1: 6 is more
4. Write the sign between the numbers. The sign points to the smaller number.
   >

Check. Check: read the sign as words. 7968 is greater than 7918.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. They are the same, so look at the next column.
   2 and 2 are equal
2. Compare the hundreds. The first column that is different decides the order.
   8 and 9: 8 is less
3. Write the sign between the numbers. The sign points to the smaller number.
   <

Check. Check: read the sign as words. 2833 is less than 2933.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. The first column that is different decides the order.
   2 and 8: 2 is less
2. Write the sign between the numbers. The sign points to the smaller number.
   <

Check. Check: read the sign as words. 2248 is less than 8440.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. The first column that is different decides which number is greater.

1. Compare the thousands. Look at the first digit on the left.
   8 and 5
2. Compare the thousands. This is the first column that is different.
   8 and 5
3. Write the greater number. The larger digit makes the larger number.
   8486

Check. Check: 8486 > 5490.

Watch out. Do not compare the last digits first.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. They are the same, so look at the next column.
   3 and 3 are equal
2. Compare the hundreds. The first column that is different decides the order.
   8 and 7: 8 is more
3. Write the sign between the numbers. The sign points to the smaller number.
   >

Check. Check: read the sign as words. 3821 is greater than 3721.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. The first column that is different decides the order.
   5 and 2: 5 is more
2. Write the sign between the numbers. The sign points to the smaller number.
   >

Check. Check: read the sign as words. 5954 is greater than 2185.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. The first column that is different decides which number is greater.

1. Compare the thousands. Look at the first digit on the left.
   2 and 6
2. Compare the thousands. This is the first column that is different.
   2 and 6
3. Write the greater number. The larger digit makes the larger number.
   6267

Check. Check: 6267 > 2245.

Watch out. Do not compare the last digits first.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. They are the same, so look at the next column.
   2 and 2 are equal
2. Compare the hundreds. They are the same, so look at the next column.
   3 and 3 are equal
3. Compare the tens. They are the same, so look at the next column.
   3 and 3 are equal
4. Compare the ones. They are the same, so look at the next column.
   3 and 3 are equal
5. All four columns are equal. The two numbers have the same digits.
   2333 = 2333
6. Write the sign between the numbers. The sign points to the smaller number.
   =

Check. Check: read the sign as words. 2333 is equal to 2333.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. The first column that is different decides the order.
   2 and 6: 2 is less
2. Write the sign between the numbers. The sign points to the smaller number.
   <

Check. Check: read the sign as words. 2674 is less than 6745.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   4917: 4, 3848: 3, 5737: 5, 3198: 3, 4712: 4
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them largest to smallest.
   5737, 4917, 4712, 3848, 3198
4. Write the answer in order. Write each number once.
   5737, 4917, 4712, 3848, 3198

Check. Check: each number is greater than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   1631: 1, 5229: 5, 5029: 5, 7604: 7
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   1631, 5029, 5229, 7604
4. Write the answer in order. Write each number once.
   1631, 5029, 5229, 7604

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   9183: 9, 1576: 1, 4586: 4, 7726: 7, 5042: 5
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them largest to smallest.
   9183, 7726, 5042, 4586, 1576
4. Write the answer in order. Write each number once.
   9183, 7726, 5042, 4586, 1576

Check. Check: each number is greater than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   1307: 1, 9478: 9, 1533: 1, 9229: 9, 6101: 6
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   1307, 1533, 6101, 9229, 9478
4. Write the answer in order. Write each number once.
   1307, 1533, 6101, 9229, 9478

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   9202: 9, 1575: 1, 9559: 9, 9042: 9, 1027: 1
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   1027, 1575, 9042, 9202, 9559
4. Write the answer in order. Write each number once.
   1027, 1575, 9042, 9202, 9559

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   7075: 7, 9635: 9, 8300: 8, 9506: 9, 4692: 4
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   4692, 7075, 8300, 9506, 9635
4. Write the answer in order. Write each number once.
   4692, 7075, 8300, 9506, 9635

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   7400: 7, 3980: 3, 6794: 6, 6457: 6, 7141: 7
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them largest to smallest.
   7400, 7141, 6794, 6457, 3980
4. Write the answer in order. Write each number once.
   7400, 7141, 6794, 6457, 3980

Check. Check: each number is greater than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   5403: 5, 6098: 6, 6572: 6, 4831: 4, 1937: 1
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   1937, 4831, 5403, 6098, 6572
4. Write the answer in order. Write each number once.
   1937, 4831, 5403, 6098, 6572

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   1882: 1, 2322: 2, 1458: 1, 5369: 5, 1802: 1
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them largest to smallest.
   5369, 2322, 1882, 1802, 1458
4. Write the answer in order. Write each number once.
   5369, 2322, 1882, 1802, 1458

Check. Check: each number is greater than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   4868: 4, 5739: 5, 8991: 8, 6094: 6
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   4868, 5739, 6094, 8991
4. Write the answer in order. Write each number once.
   4868, 5739, 6094, 8991

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   7104: 7, 5862: 5, 9342: 9, 6392: 6
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them largest to smallest.
   9342, 7104, 6392, 5862
4. Write the answer in order. Write each number once.
   9342, 7104, 6392, 5862

Check. Check: each number is greater than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   6439: 6, 8476: 8, 8714: 8, 3601: 3
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   3601, 6439, 8476, 8714
4. Write the answer in order. Write each number once.
   3601, 6439, 8476, 8714

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   8204: 8, 8553: 8, 1078: 1, 4492: 4
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   1078, 4492, 8204, 8553
4. Write the answer in order. Write each number once.
   1078, 4492, 8204, 8553

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   8256: 8, 5566: 5, 2877: 2, 1834: 1, 5331: 5
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   1834, 2877, 5331, 5566, 8256
4. Write the answer in order. Write each number once.
   1834, 2877, 5331, 5566, 8256

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   1427: 1, 5505: 5, 6399: 6, 9427: 9
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them largest to smallest.
   9427, 6399, 5505, 1427
4. Write the answer in order. Write each number once.
   9427, 6399, 5505, 1427

Check. Check: each number is greater than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   7080: 7, 2429: 2, 2698: 2, 2362: 2, 1760: 1
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   1760, 2362, 2429, 2698, 7080
4. Write the answer in order. Write each number once.
   1760, 2362, 2429, 2698, 7080

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   5000 is just below 5752
2. Find the thousand just above the dot. Look for the labelled number on the right.
   6000 is just above 5752
3. Write the two numbers. The dot is between them.
   Between 5000 and 6000

Check. Check: 5000 < 5752 < 6000.

Watch out. The dot is between two labels, not on one of them.

Method. Halfway between two numbers is half of their total.

1. Add the two numbers. The total of the two ends is shared equally in the middle.
   6600 + 7600 = 14200
2. Halve the total. Halfway is half of the sum of the two numbers.
   14200 ÷ 2 = 7100
3. Write the answer. This number is the same distance from both ends.
   7100

Check. Check: 7100 - 6600 = 7600 - 7100, the same distance each way.

Watch out. Halfway is not the same as adding a fixed amount. Find the total, then halve it.

Method. Halfway between two numbers is half of their total.

1. Add the two numbers. The total of the two ends is shared equally in the middle.
   600 + 2800 = 3400
2. Halve the total. Halfway is half of the sum of the two numbers.
   3400 ÷ 2 = 1700
3. Write the answer. This number is the same distance from both ends.
   1700

Check. Check: 1700 - 600 = 2800 - 1700, the same distance each way.

Watch out. Halfway is not the same as adding a fixed amount. Find the total, then halve it.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   2000 is just below 2124
2. Find the thousand just above the dot. Look for the labelled number on the right.
   3000 is just above 2124
3. Write the two numbers. The dot is between them.
   Between 2000 and 3000

Check. Check: 2000 < 2124 < 3000.

Watch out. The dot is between two labels, not on one of them.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   9000 is just below 9055
2. Find the thousand just above the dot. Look for the labelled number on the right.
   10000 is just above 9055
3. Write the two numbers. The dot is between them.
   Between 9000 and 10000

Check. Check: 9000 < 9055 < 10000.

Watch out. The dot is between two labels, not on one of them.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   5000 is just below 5185
2. Find the thousand just above the dot. Look for the labelled number on the right.
   6000 is just above 5185
3. Write the two numbers. The dot is between them.
   Between 5000 and 6000

Check. Check: 5000 < 5185 < 6000.

Watch out. The dot is between two labels, not on one of them.

Method. Halfway between two numbers is half of their total.

1. Add the two numbers. The total of the two ends is shared equally in the middle.
   5500 + 8300 = 13800
2. Halve the total. Halfway is half of the sum of the two numbers.
   13800 ÷ 2 = 6900
3. Write the answer. This number is the same distance from both ends.
   6900

Check. Check: 6900 - 5500 = 8300 - 6900, the same distance each way.

Watch out. Halfway is not the same as adding a fixed amount. Find the total, then halve it.

Method. Halfway between two numbers is half of their total.

1. Add the two numbers. The total of the two ends is shared equally in the middle.
   3200 + 4200 = 7400
2. Halve the total. Halfway is half of the sum of the two numbers.
   7400 ÷ 2 = 3700
3. Write the answer. This number is the same distance from both ends.
   3700

Check. Check: 3700 - 3200 = 4200 - 3700, the same distance each way.

Watch out. Halfway is not the same as adding a fixed amount. Find the total, then halve it.

Method. Halfway between two numbers is half of their total.

1. Add the two numbers. The total of the two ends is shared equally in the middle.
   1900 + 2300 = 4200
2. Halve the total. Halfway is half of the sum of the two numbers.
   4200 ÷ 2 = 2100
3. Write the answer. This number is the same distance from both ends.
   2100

Check. Check: 2100 - 1900 = 2300 - 2100, the same distance each way.

Watch out. Halfway is not the same as adding a fixed amount. Find the total, then halve it.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   9000 is just below 9069
2. Find the thousand just above the dot. Look for the labelled number on the right.
   10000 is just above 9069
3. Write the two numbers. The dot is between them.
   Between 9000 and 10000

Check. Check: 9000 < 9069 < 10000.

Watch out. The dot is between two labels, not on one of them.

Method. Halfway between two numbers is half of their total.

1. Add the two numbers. The total of the two ends is shared equally in the middle.
   5200 + 6800 = 12000
2. Halve the total. Halfway is half of the sum of the two numbers.
   12000 ÷ 2 = 6000
3. Write the answer. This number is the same distance from both ends.
   6000

Check. Check: 6000 - 5200 = 6800 - 6000, the same distance each way.

Watch out. Halfway is not the same as adding a fixed amount. Find the total, then halve it.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   3000 is just below 3355
2. Find the thousand just above the dot. Look for the labelled number on the right.
   4000 is just above 3355
3. Write the two numbers. The dot is between them.
   Between 3000 and 4000

Check. Check: 3000 < 3355 < 4000.

Watch out. The dot is between two labels, not on one of them.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   3000 is just below 3143
2. Find the thousand just above the dot. Look for the labelled number on the right.
   4000 is just above 3143
3. Write the two numbers. The dot is between them.
   Between 3000 and 4000

Check. Check: 3000 < 3143 < 4000.

Watch out. The dot is between two labels, not on one of them.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   5000 is just below 5438
2. Find the thousand just above the dot. Look for the labelled number on the right.
   6000 is just above 5438
3. Write the two numbers. The dot is between them.
   Between 5000 and 6000

Check. Check: 5000 < 5438 < 6000.

Watch out. The dot is between two labels, not on one of them.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   2000 is just below 2928
2. Find the thousand just above the dot. Look for the labelled number on the right.
   3000 is just above 2928
3. Write the two numbers. The dot is between them.
   Between 2000 and 3000

Check. Check: 2000 < 2928 < 3000.

Watch out. The dot is between two labels, not on one of them.

Method. Halfway between two numbers is half of their total.

1. Add the two numbers. The total of the two ends is shared equally in the middle.
   800 + 1400 = 2200
2. Halve the total. Halfway is half of the sum of the two numbers.
   2200 ÷ 2 = 1100
3. Write the answer. This number is the same distance from both ends.
   1100

Check. Check: 1100 - 800 = 1400 - 1100, the same distance each way.

Watch out. Halfway is not the same as adding a fixed amount. Find the total, then halve it.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 6
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   6 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   3896 rounds up to 3900
4. Write the answer. This is the nearest multiple.
   3900

Check. Check: 3900 is a multiple of 10, and it is the closest one to 3896.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 7
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   7 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   9747 rounds up to 9750
4. Write the answer. This is the nearest multiple.
   9750

Check. Check: 9750 is a multiple of 10, and it is the closest one to 9747.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 1
2. Decide: less than 5. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   1 is less than 5
3. Round down. Keep the same tens, and the digits to the right become 0.
   4381 rounds down to 4380
4. Write the answer. This is the nearest multiple.
   4380

Check. Check: 4380 is a multiple of 10, and it is the closest one to 4381.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 8
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   8 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   5958 rounds up to 5960
4. Write the answer. This is the nearest multiple.
   5960

Check. Check: 5960 is a multiple of 10, and it is the closest one to 5958.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 4
2. Decide: less than 5. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   4 is less than 5
3. Round down. Keep the same tens, and the digits to the right become 0.
   1894 rounds down to 1890
4. Write the answer. This is the nearest multiple.
   1890

Check. Check: 1890 is a multiple of 10, and it is the closest one to 1894.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 6
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   6 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   5276 rounds up to 5280
4. Write the answer. This is the nearest multiple.
   5280

Check. Check: 5280 is a multiple of 10, and it is the closest one to 5276.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 9
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   9 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   3109 rounds up to 3110
4. Write the answer. This is the nearest multiple.
   3110

Check. Check: 3110 is a multiple of 10, and it is the closest one to 3109.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 5
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   5 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   9105 rounds up to 9110
4. Write the answer. This is the nearest multiple.
   9110

Check. Check: 9110 is a multiple of 10, and it is the closest one to 9105.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 8
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   8 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   6498 rounds up to 6500
4. Write the answer. This is the nearest multiple.
   6500

Check. Check: 6500 is a multiple of 10, and it is the closest one to 6498.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 5
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   5 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   8185 rounds up to 8190
4. Write the answer. This is the nearest multiple.
   8190

Check. Check: 8190 is a multiple of 10, and it is the closest one to 8185.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 0
2. Decide: less than 5. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   0 is less than 5
3. Round down. Keep the same tens, and the digits to the right become 0.
   9240 rounds down to 9240
4. Write the answer. This is the nearest multiple.
   9240

Check. Check: 9240 is a multiple of 10, and it is the closest one to 9240.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 2
2. Decide: less than 5. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   2 is less than 5
3. Round down. Keep the same tens, and the digits to the right become 0.
   8672 rounds down to 8670
4. Write the answer. This is the nearest multiple.
   8670

Check. Check: 8670 is a multiple of 10, and it is the closest one to 8672.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 9
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   9 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   8529 rounds up to 8530
4. Write the answer. This is the nearest multiple.
   8530

Check. Check: 8530 is a multiple of 10, and it is the closest one to 8529.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 0
2. Decide: less than 5. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   0 is less than 5
3. Round down. Keep the same tens, and the digits to the right become 0.
   6900 rounds down to 6900
4. Write the answer. This is the nearest multiple.
   6900

Check. Check: 6900 is a multiple of 10, and it is the closest one to 6900.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 7
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   7 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   7117 rounds up to 7120
4. Write the answer. This is the nearest multiple.
   7120

Check. Check: 7120 is a multiple of 10, and it is the closest one to 7117.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 7
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   7 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   4547 rounds up to 4550
4. Write the answer. This is the nearest multiple.
   4550

Check. Check: 4550 is a multiple of 10, and it is the closest one to 4547.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 1000: look at the digits to the right of the thousand place.

1. Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.
   the last three digits are 590
2. Decide: 500 or more. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.
   590 is at least 500
3. Round up. Add one more thousand, and the digits to the right become 0.
   9590 rounds up to 10000
4. Write the answer. This is the nearest multiple.
   10000

Check. Check: 10000 is a multiple of 1000, and it is the closest one to 9590.

Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 67
2. Decide: 50 or more. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   67 is at least 50
3. Round up. Add one more hundred, and the digits to the right become 0.
   3967 rounds up to 4000
4. Write the answer. This is the nearest multiple.
   4000

Check. Check: 4000 is a multiple of 100, and it is the closest one to 3967.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 7
2. Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   7 is less than 50
3. Round down. Keep the same hundreds, and the digits to the right become 0.
   1107 rounds down to 1100
4. Write the answer. This is the nearest multiple.
   1100

Check. Check: 1100 is a multiple of 100, and it is the closest one to 1107.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 1000: look at the digits to the right of the thousand place.

1. Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.
   the last three digits are 645
2. Decide: 500 or more. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.
   645 is at least 500
3. Round up. Add one more thousand, and the digits to the right become 0.
   6645 rounds up to 7000
4. Write the answer. This is the nearest multiple.
   7000

Check. Check: 7000 is a multiple of 1000, and it is the closest one to 6645.

Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 25
2. Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   25 is less than 50
3. Round down. Keep the same hundreds, and the digits to the right become 0.
   8125 rounds down to 8100
4. Write the answer. This is the nearest multiple.
   8100

Check. Check: 8100 is a multiple of 100, and it is the closest one to 8125.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 1000: look at the digits to the right of the thousand place.

1. Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.
   the last three digits are 419
2. Decide: less than 500. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.
   419 is less than 500
3. Round down. Keep the same thousands, and the digits to the right become 0.
   4419 rounds down to 4000
4. Write the answer. This is the nearest multiple.
   4000

Check. Check: 4000 is a multiple of 1000, and it is the closest one to 4419.

Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 42
2. Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   42 is less than 50
3. Round down. Keep the same hundreds, and the digits to the right become 0.
   2142 rounds down to 2100
4. Write the answer. This is the nearest multiple.
   2100

Check. Check: 2100 is a multiple of 100, and it is the closest one to 2142.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 34
2. Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   34 is less than 50
3. Round down. Keep the same hundreds, and the digits to the right become 0.
   1034 rounds down to 1000
4. Write the answer. This is the nearest multiple.
   1000

Check. Check: 1000 is a multiple of 100, and it is the closest one to 1034.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 77
2. Decide: 50 or more. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   77 is at least 50
3. Round up. Add one more hundred, and the digits to the right become 0.
   6177 rounds up to 6200
4. Write the answer. This is the nearest multiple.
   6200

Check. Check: 6200 is a multiple of 100, and it is the closest one to 6177.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 1000: look at the digits to the right of the thousand place.

1. Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.
   the last three digits are 342
2. Decide: less than 500. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.
   342 is less than 500
3. Round down. Keep the same thousands, and the digits to the right become 0.
   4342 rounds down to 4000
4. Write the answer. This is the nearest multiple.
   4000

Check. Check: 4000 is a multiple of 1000, and it is the closest one to 4342.

Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 13
2. Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   13 is less than 50
3. Round down. Keep the same hundreds, and the digits to the right become 0.
   5213 rounds down to 5200
4. Write the answer. This is the nearest multiple.
   5200

Check. Check: 5200 is a multiple of 100, and it is the closest one to 5213.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 31
2. Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   31 is less than 50
3. Round down. Keep the same hundreds, and the digits to the right become 0.
   4131 rounds down to 4100
4. Write the answer. This is the nearest multiple.
   4100

Check. Check: 4100 is a multiple of 100, and it is the closest one to 4131.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 1000: look at the digits to the right of the thousand place.

1. Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.
   the last three digits are 844
2. Decide: 500 or more. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.
   844 is at least 500
3. Round up. Add one more thousand, and the digits to the right become 0.
   8844 rounds up to 9000
4. Write the answer. This is the nearest multiple.
   9000

Check. Check: 9000 is a multiple of 1000, and it is the closest one to 8844.

Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 1000: look at the digits to the right of the thousand place.

1. Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.
   the last three digits are 20
2. Decide: less than 500. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.
   20 is less than 500
3. Round down. Keep the same thousands, and the digits to the right become 0.
   8020 rounds down to 8000
4. Write the answer. This is the nearest multiple.
   8000

Check. Check: 8000 is a multiple of 1000, and it is the closest one to 8020.

Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 1000: look at the digits to the right of the thousand place.

1. Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.
   the last three digits are 123
2. Decide: less than 500. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.
   123 is less than 500
3. Round down. Keep the same thousands, and the digits to the right become 0.
   3123 rounds down to 3000
4. Write the answer. This is the nearest multiple.
   3000

Check. Check: 3000 is a multiple of 1000, and it is the closest one to 3123.

Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 99
2. Decide: 50 or more. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   99 is at least 50
3. Round up. Add one more hundred, and the digits to the right become 0.
   9499 rounds up to 9500
4. Write the answer. This is the nearest multiple.
   9500

Check. Check: 9500 is a multiple of 100, and it is the closest one to 9499.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 1
2. Decide: less than 5. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   1 is less than 5
3. Round down. Keep the same tens, and the digits to the right become 0.
   7301 rounds down to 7300
4. Write the answer. This is the nearest multiple.
   7300

Check. Check: 7300 is a multiple of 10, and it is the closest one to 7301.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. The first column that is different decides which number is greater.

1. Compare the thousands. Look at the first digit on the left.
   3 and 4
2. Compare the thousands. This is the first column that is different.
   3 and 4
3. Write the greater number. The larger digit makes the larger number.
   4141

Check. Check: 4141 > 3773.

Watch out. Do not compare the last digits first.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 8
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   8 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   2308 rounds up to 2310
4. Write the answer. This is the nearest multiple.
   2310

Check. Check: 2310 is a multiple of 10, and it is the closest one to 2308.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   7000 is just below 7895
2. Find the thousand just above the dot. Look for the labelled number on the right.
   8000 is just above 7895
3. Write the two numbers. The dot is between them.
   Between 7000 and 8000

Check. Check: 7000 < 7895 < 8000.

Watch out. The dot is between two labels, not on one of them.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   2319: 2, 7139: 7, 1606: 1, 6388: 6, 6087: 6
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them largest to smallest.
   7139, 6388, 6087, 2319, 1606
4. Write the answer in order. Write each number once.
   7139, 6388, 6087, 2319, 1606

Check. Check: each number is greater than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 3
2. Decide: less than 5. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   3 is less than 5
3. Round down. Keep the same tens, and the digits to the right become 0.
   8433 rounds down to 8430
4. Write the answer. This is the nearest multiple.
   8430

Check. Check: 8430 is a multiple of 10, and it is the closest one to 8433.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Halfway between two numbers is half of their total.

1. Add the two numbers. The total of the two ends is shared equally in the middle.
   4000 + 4400 = 8400
2. Halve the total. Halfway is half of the sum of the two numbers.
   8400 ÷ 2 = 4200
3. Write the answer. This number is the same distance from both ends.
   4200

Check. Check: 4200 - 4000 = 4400 - 4200, the same distance each way.

Watch out. Halfway is not the same as adding a fixed amount. Find the total, then halve it.

Method. Round to the nearest 1000: look at the digits to the right of the thousand place.

1. Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.
   the last three digits are 755
2. Decide: 500 or more. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.
   755 is at least 500
3. Round up. Add one more thousand, and the digits to the right become 0.
   8755 rounds up to 9000
4. Write the answer. This is the nearest multiple.
   9000

Check. Check: 9000 is a multiple of 1000, and it is the closest one to 8755.

Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   8313: 8, 4783: 4, 2907: 2, 5592: 5
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them largest to smallest.
   8313, 5592, 4783, 2907
4. Write the answer in order. Write each number once.
   8313, 5592, 4783, 2907

Check. Check: each number is greater than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 2
2. Decide: less than 5. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   2 is less than 5
3. Round down. Keep the same tens, and the digits to the right become 0.
   8612 rounds down to 8610
4. Write the answer. This is the nearest multiple.
   8610

Check. Check: 8610 is a multiple of 10, and it is the closest one to 8612.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Halfway between two numbers is half of their total.

1. Add the two numbers. The total of the two ends is shared equally in the middle.
   6800 + 7200 = 14000
2. Halve the total. Halfway is half of the sum of the two numbers.
   14000 ÷ 2 = 7000
3. Write the answer. This number is the same distance from both ends.
   7000

Check. Check: 7000 - 6800 = 7200 - 7000, the same distance each way.

Watch out. Halfway is not the same as adding a fixed amount. Find the total, then halve it.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 20
2. Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   20 is less than 50
3. Round down. Keep the same hundreds, and the digits to the right become 0.
   5320 rounds down to 5300
4. Write the answer. This is the nearest multiple.
   5300

Check. Check: 5300 is a multiple of 100, and it is the closest one to 5320.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 10: look at the digits to the right of the ten place.

1. Look at the ones digit. The digits on the right tell us which way to go.
   the ones digit is 5
2. Decide: 5 or more. Half of 10 is 5. 5 or more rounds up; less than 5 rounds down.
   5 is at least 5
3. Round up. Add one more ten, and the digits to the right become 0.
   1305 rounds up to 1310
4. Write the answer. This is the nearest multiple.
   1310

Check. Check: 1310 is a multiple of 10, and it is the closest one to 1305.

Watch out. Exactly 5 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Compare the thousands first, then the hundreds, then the tens, then the ones.

1. Compare the thousands. The first column that is different decides the order.
   4 and 1: 4 is more
2. Write the sign between the numbers. The sign points to the smaller number.
   >

Check. Check: read the sign as words. 4967 is greater than 1228.

Watch out. The arrow always points to the smaller number. Compare the thousands first, not the last digits.

Method. Round to the nearest 1000: look at the digits to the right of the thousand place.

1. Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.
   the last three digits are 729
2. Decide: 500 or more. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.
   729 is at least 500
3. Round up. Add one more thousand, and the digits to the right become 0.
   9729 rounds up to 10000
4. Write the answer. This is the nearest multiple.
   10000

Check. Check: 10000 is a multiple of 1000, and it is the closest one to 9729.

Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 1000: look at the digits to the right of the thousand place.

1. Look at the hundreds, tens and ones together. The digits on the right tell us which way to go.
   the last three digits are 508
2. Decide: 500 or more. Half of 1000 is 500. 500 or more rounds up; less than 500 rounds down.
   508 is at least 500
3. Round up. Add one more thousand, and the digits to the right become 0.
   6508 rounds up to 7000
4. Write the answer. This is the nearest multiple.
   7000

Check. Check: 7000 is a multiple of 1000, and it is the closest one to 6508.

Watch out. Exactly 500 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Round to the nearest 100: look at the digits to the right of the hundred place.

1. Look at the tens and ones together. The digits on the right tell us which way to go.
   the last two digits are 45
2. Decide: less than 50. Half of 100 is 50. 50 or more rounds up; less than 50 rounds down.
   45 is less than 50
3. Round down. Keep the same hundreds, and the digits to the right become 0.
   4645 rounds down to 4600
4. Write the answer. This is the nearest multiple.
   4600

Check. Check: 4600 is a multiple of 100, and it is the closest one to 4645.

Watch out. Exactly 50 rounds up. Do not change the digits to the left of the place you round to, except when a carry is needed.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   6754: 6, 5628: 5, 8465: 8, 2664: 2
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them largest to smallest.
   8465, 6754, 5628, 2664
4. Write the answer in order. Write each number once.
   8465, 6754, 5628, 2664

Check. Check: each number is greater than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Compare the numbers column by column, starting with the thousands.

1. Look at the thousands. Numbers with fewer thousands are smaller.
   2886: 2, 1650: 1, 3963: 3, 4857: 4, 2897: 2
2. Look at the hundreds for numbers with the same thousands. Compare the next column only when the first is the same.
   Put them in groups by thousands first
3. Order the numbers. Put them smallest to largest.
   1650, 2886, 2897, 3963, 4857
4. Write the answer in order. Write each number once.
   1650, 2886, 2897, 3963, 4857

Check. Check: each number is less than the next one in the list.

Watch out. Compare the thousands first, then the hundreds, then the tens, then the ones.

Method. Find the two labelled thousands on either side of the dot.

1. Find the thousand just below the dot. Look for the labelled number on the left.
   2000 is just below 2020
2. Find the thousand just above the dot. Look for the labelled number on the right.
   3000 is just above 2020
3. Write the two numbers. The dot is between them.
   Between 2000 and 3000

Check. Check: 2000 < 2020 < 3000.

Watch out. The dot is between two labels, not on one of them.