Step-by-step Maths Level 3 Comparing and ordering to 1000: check-up and practice test questions

Method. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.

1. Compare the hundreds of each number. The number with fewer hundreds is smaller.
   209: 2 hundreds, 333: 3 hundreds, 352: 3 hundreds
2. Find the first number in the order. It is the smallest, or the largest if we go the other way.
   352
3. Write all the numbers in order. Check each one fits between the ones next to it.
   352, 333, 209

Check. Read the list again. Each number is smaller than the one before it.

Watch out. Compare hundreds first. 508 is less than 521, because 5 hundreds is the same but 0 tens is less than 2 tens.

Method. Find the hundreds either side. The nearer one is the answer.

1. Find the hundreds either side of 622. These are the two hundreds the number is between.
   600 and 700
2. Find which hundred is nearer. 622 - 600 = 22, and 700 - 622 = 78.
   22 is less than 78
3. Write the nearest hundred. This is the answer.
   600

Check. 600 is 22 away from 622, and the other hundred is further away.

Watch out. Look at the tens and ones. If they are 50 or more, round up. If less than 50, round down.

Method. Find the greatest number by comparing hundreds, then tens, then ones.

1. Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.
   680, 287, 669
2. Find the greatest hundreds. Keep only numbers with that many hundreds.
   680, 669
3. Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.
   680
4. Write the answer. This is the greatest number.
   680

Check. Compare 680 with each other number in the list. It is the greatest.

Watch out. Compare hundreds first. The greatest number is not always the first one in the list.

Method. Find the greatest number by comparing hundreds, then tens, then ones.

1. Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.
   200, 780, 428
2. Find the greatest hundreds. Keep only numbers with that many hundreds.
   780
3. Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.
   780
4. Write the answer. This is the greatest number.
   780

Check. Compare 780 with each other number in the list. It is the greatest.

Watch out. Compare hundreds first. The greatest number is not always the first one in the list.

Method. Find the greatest number by comparing hundreds, then tens, then ones.

1. Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.
   466, 829, 897, 641
2. Find the greatest hundreds. Keep only numbers with that many hundreds.
   829, 897
3. Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.
   897
4. Write the answer. This is the greatest number.
   897

Check. Compare 897 with each other number in the list. It is the greatest.

Watch out. Compare hundreds first. The greatest number is not always the first one in the list.

Method. Find the distance from the number to each hundred. The shorter distance is the nearer one.

1. Find the two hundreds. 506 is between 500 and 600.
   500 < 506 < 600
2. Compare the distances. 506 - 500 = 6, 600 - 506 = 94.
   6 and 94
3. Write the nearer hundred. The smaller distance is the nearer hundred.
   500

Check. 500 is nearer to 506 than the other hundred.

Watch out. The number is nearer to 600 than to 700 when it is less than 650.

Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.

1. Start with the hundreds digits. The digit in the largest place decides first.
   8 and 3
2. The hundreds decide. 8 is more than 3 in the hundreds place.
   8 and 3
3. Write the sign. 803 is greater than 384.
   >

Check. 803 > 384 is true.

Watch out. Compare from the left. 803 is greater than 384.

Method. Find the least number by comparing hundreds, then tens, then ones.

1. Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.
   197, 904, 438
2. Find the least hundreds. Keep only numbers with that many hundreds.
   197
3. Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.
   197
4. Write the answer. This is the least number.
   197

Check. Compare 197 with each other number in the list. It is the least.

Watch out. Compare hundreds first. The least number is not always the first one in the list.

Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.

1. Start with the hundreds digits. The digit in the largest place decides first.
   8 and 7
2. The hundreds decide. 8 is more than 7 in the hundreds place.
   8 and 7
3. Write the sign. 807 is greater than 792.
   >

Check. 807 > 792 is true.

Watch out. Compare from the left. 807 is greater than 792.

Method. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.

1. Compare the hundreds of each number. The number with fewer hundreds is smaller.
   841: 8 hundreds, 116: 1 hundreds, 611: 6 hundreds
2. Find the first number in the order. It is the smallest, or the largest if we go the other way.
   116
3. Write all the numbers in order. Check each one fits between the ones next to it.
   116, 611, 841

Check. Read the list again. Each number is bigger than the one before it.

Watch out. Compare hundreds first. 508 is less than 521, because 5 hundreds is the same but 0 tens is less than 2 tens.

Method. Find the least number by comparing hundreds, then tens, then ones.

1. Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.
   307, 124, 910, 113, 719
2. Find the least hundreds. Keep only numbers with that many hundreds.
   124, 113
3. Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.
   113
4. Write the answer. This is the least number.
   113

Check. Compare 113 with each other number in the list. It is the least.

Watch out. Compare hundreds first. The least number is not always the first one in the list.

Method. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.

1. Compare the hundreds of each number. The number with fewer hundreds is smaller.
   178: 1 hundreds, 991: 9 hundreds, 453: 4 hundreds, 103: 1 hundreds
2. Find the first number in the order. It is the smallest, or the largest if we go the other way.
   103
3. Write all the numbers in order. Check each one fits between the ones next to it.
   103, 178, 453, 991

Check. Read the list again. Each number is bigger than the one before it.

Watch out. Compare hundreds first. 508 is less than 521, because 5 hundreds is the same but 0 tens is less than 2 tens.

Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.

1. Start with the hundreds digits. The digit in the largest place decides first.
   4 and 3
2. The hundreds decide. 4 is more than 3 in the hundreds place.
   4 and 3
3. Write the sign. 441 is greater than 328.
   >

Check. 441 > 328 is true.

Watch out. Compare from the left. 441 is greater than 328.

Method. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.

1. Compare the hundreds of each number. The number with fewer hundreds is smaller.
   266: 2 hundreds, 146: 1 hundreds, 350: 3 hundreds, 490: 4 hundreds, 736: 7 hundreds
2. Find the first number in the order. It is the smallest, or the largest if we go the other way.
   146
3. Write all the numbers in order. Check each one fits between the ones next to it.
   146, 266, 350, 490, 736

Check. Read the list again. Each number is bigger than the one before it.

Watch out. Compare hundreds first. 508 is less than 521, because 5 hundreds is the same but 0 tens is less than 2 tens.

Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.

1. Start with the hundreds digits. The digit in the largest place decides first.
   8 and 8
2. All the digits are the same. The numbers are equal.
   875 and 875 are the same
3. Write the sign. 875 is equal to 875.
   =

Check. 875 = 875 is true.

Watch out. Compare from the left. 875 is greater than 875.

Method. Find the distance from the number to each hundred. The shorter distance is the nearer one.

1. Find the two hundreds. 316 is between 300 and 400.
   300 < 316 < 400
2. Compare the distances. 316 - 300 = 16, 400 - 316 = 84.
   16 and 84
3. Write the nearer hundred. The smaller distance is the nearer hundred.
   300

Check. 300 is nearer to 316 than the other hundred.

Watch out. The number is nearer to 600 than to 700 when it is less than 650.

Method. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.

1. Compare the hundreds of each number. The number with fewer hundreds is smaller.
   501: 5 hundreds, 847: 8 hundreds, 587: 5 hundreds, 687: 6 hundreds, 616: 6 hundreds
2. Find the first number in the order. It is the smallest, or the largest if we go the other way.
   847
3. Write all the numbers in order. Check each one fits between the ones next to it.
   847, 687, 616, 587, 501

Check. Read the list again. Each number is smaller than the one before it.

Watch out. Compare hundreds first. 508 is less than 521, because 5 hundreds is the same but 0 tens is less than 2 tens.

Method. Find the greatest number by comparing hundreds, then tens, then ones.

1. Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.
   678, 504, 737, 131, 725
2. Find the greatest hundreds. Keep only numbers with that many hundreds.
   737, 725
3. Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.
   737
4. Write the answer. This is the greatest number.
   737

Check. Compare 737 with each other number in the list. It is the greatest.

Watch out. Compare hundreds first. The greatest number is not always the first one in the list.

Method. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.

1. Compare the hundreds of each number. The number with fewer hundreds is smaller.
   583: 5 hundreds, 887: 8 hundreds, 803: 8 hundreds, 948: 9 hundreds, 639: 6 hundreds
2. Find the first number in the order. It is the smallest, or the largest if we go the other way.
   583
3. Write all the numbers in order. Check each one fits between the ones next to it.
   583, 639, 803, 887, 948

Check. Read the list again. Each number is bigger than the one before it.

Watch out. Compare hundreds first. 508 is less than 521, because 5 hundreds is the same but 0 tens is less than 2 tens.

Method. Find the hundreds either side. The nearer one is the answer.

1. Find the hundreds either side of 947. These are the two hundreds the number is between.
   900 and 1000
2. Find which hundred is nearer. 947 - 900 = 47, and 1000 - 947 = 53.
   47 is less than 53
3. Write the nearest hundred. This is the answer.
   900

Check. 900 is 47 away from 947, and the other hundred is further away.

Watch out. Look at the tens and ones. If they are 50 or more, round up. If less than 50, round down.