Comparing and ordering to 1000
By the end of this chapter you will be able to
- Compare two numbers with <, > and =
- Order up to five numbers
- Find the greatest and least
- Estimate a position on a number line from 0 to 1000
You should already know
- Counting to 1000 (chapter 1)
- Hundreds, tens and ones (chapter 2)
Where this leads
- Adding within 1000 (chapter 4)
Step-by-step practice: maths (Level 3). Small steps, repeated until fluent. Content: Compare two numbers up to 1000 using <, > and =, Put a set of up to five numbers in order, from smallest to largest and largest to smallest, Find the greatest and least number in a set, Place a number on a 0 to 1000 number line and estimate it between two marked points.
Exercise P Do you remember?
Non-calculatorMethod. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the biggest place digits. The digit in the largest place decides first.4 and 7
- The tens decide. 4 is fewer than 7 in the tens place.4 and 7
- Write the sign. 47 is less than 74.<
Check. 47 < 74 is true.
Watch out. Compare from the left. 74 is greater than 47.
Method. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.63: 0 hundreds, 36: 0 hundreds, 58: 0 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.36
- Write all the numbers in order. Check each one fits between the ones next to it.36, 58, 63
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.
- Start with the biggest place digits. The digit in the largest place decides first.8 and 1
- The tens decide. 8 is more than 1 in the tens place.8 and 1
- Write the sign. 81 is greater than 18.>
Check. 81 > 18 is true.
Watch out. Compare from the left. 81 is greater than 18.
Method. Find the greatest number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.27, 72, 53, 35
- Find the greatest hundreds. Keep only numbers with that many hundreds.27, 72, 53, 35
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.72
- Write the answer. This is the greatest number.72
Check. Compare 72 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. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.6 and 6
- The tens decide. 4 is more than 0 in the tens place.4 and 0
- Write the sign. 640 is greater than 604.>
Check. 640 > 604 is true.
Watch out. Compare from the left. 640 is greater than 604.
Comparing two numbers
The sign < means less than. The sign > means greater than. The sign = means equal to.
Compare the hundreds first. If they are the same, compare the tens. If the tens are the same, compare the ones.
Key ideas
- Hundreds first, then tens, then ones.
- < is less than, > is greater than.
- The sign = means both numbers are the same.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.4 and 4
- The tens decide. 0 is fewer than 8 in the tens place.0 and 8
- Write the sign. 408 is less than 480.<
Check. 408 < 480 is true.
Watch out. Compare from the left. 480 is greater than 408.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.6 and 5
- The hundreds decide. 6 is more than 5 in the hundreds place.6 and 5
- Write the sign. 625 is greater than 591.>
Check. 625 > 591 is true.
Watch out. Compare from the left. 625 is greater than 591.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.3 and 3
- All the digits are the same. The numbers are equal.357 and 357 are the same
- Write the sign. 357 is equal to 357.=
Check. 357 = 357 is true.
Watch out. Compare from the left. 357 is greater than 357.
Watch out
Watch out. 480 is greater than 408, because 8 tens is more than 0 tens. Do not compare the ones first.
Exam tip
Grown-up tip. The sign is a little mouth that eats the bigger number. Ask: “Which number is bigger? Point to the open side.”
Exercise 3A Practice: comparing with <, > and =
Non-calculatorMethod. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.7 and 7
- The tens decide. 6 is more than 5 in the tens place.6 and 5
- Write the sign. 761 is greater than 757.>
Check. 761 > 757 is true.
Watch out. Compare from the left. 761 is greater than 757.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.8 and 2
- The hundreds decide. 8 is more than 2 in the hundreds place.8 and 2
- Write the sign. 818 is greater than 282.>
Check. 818 > 282 is true.
Watch out. Compare from the left. 818 is greater than 282.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.6 and 5
- The hundreds decide. 6 is more than 5 in the hundreds place.6 and 5
- Write the sign. 600 is greater than 545.>
Check. 600 > 545 is true.
Watch out. Compare from the left. 600 is greater than 545.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.3 and 6
- The hundreds decide. 3 is fewer than 6 in the hundreds place.3 and 6
- Write the sign. 380 is less than 607.<
Check. 380 < 607 is true.
Watch out. Compare from the left. 607 is greater than 380.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.8 and 3
- The hundreds decide. 8 is more than 3 in the hundreds place.8 and 3
- Write the sign. 804 is greater than 376.>
Check. 804 > 376 is true.
Watch out. Compare from the left. 804 is greater than 376.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.6 and 6
- The tens decide. 7 is more than 0 in the tens place.7 and 0
- Write the sign. 675 is greater than 602.>
Check. 675 > 602 is true.
Watch out. Compare from the left. 675 is greater than 602.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.5 and 5
- The tens decide. 2 is fewer than 3 in the tens place.2 and 3
- Write the sign. 526 is less than 536.<
Check. 526 < 536 is true.
Watch out. Compare from the left. 536 is greater than 526.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.4 and 8
- The hundreds decide. 4 is fewer than 8 in the hundreds place.4 and 8
- Write the sign. 426 is less than 825.<
Check. 426 < 825 is true.
Watch out. Compare from the left. 825 is greater than 426.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.5 and 2
- The hundreds decide. 5 is more than 2 in the hundreds place.5 and 2
- Write the sign. 555 is greater than 250.>
Check. 555 > 250 is true.
Watch out. Compare from the left. 555 is greater than 250.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.3 and 2
- The hundreds decide. 3 is more than 2 in the hundreds place.3 and 2
- Write the sign. 310 is greater than 212.>
Check. 310 > 212 is true.
Watch out. Compare from the left. 310 is greater than 212.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.2 and 2
- The tens decide. 1 is fewer than 3 in the tens place.1 and 3
- Write the sign. 213 is less than 234.<
Check. 213 < 234 is true.
Watch out. Compare from the left. 234 is greater than 213.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.9 and 4
- The hundreds decide. 9 is more than 4 in the hundreds place.9 and 4
- Write the sign. 990 is greater than 465.>
Check. 990 > 465 is true.
Watch out. Compare from the left. 990 is greater than 465.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.8 and 5
- The hundreds decide. 8 is more than 5 in the hundreds place.8 and 5
- Write the sign. 884 is greater than 562.>
Check. 884 > 562 is true.
Watch out. Compare from the left. 884 is greater than 562.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.3 and 6
- The hundreds decide. 3 is fewer than 6 in the hundreds place.3 and 6
- Write the sign. 393 is less than 626.<
Check. 393 < 626 is true.
Watch out. Compare from the left. 626 is greater than 393.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.5 and 5
- The tens decide. 7 is more than 1 in the tens place.7 and 1
- Write the sign. 578 is greater than 515.>
Check. 578 > 515 is true.
Watch out. Compare from the left. 578 is greater than 515.
Method. Compare the hundreds first. If they are the same, compare the tens. Then compare the ones.
- Start with the hundreds digits. The digit in the largest place decides first.9 and 9
- The tens decide. 5 is more than 1 in the tens place.5 and 1
- Write the sign. 953 is greater than 915.>
Check. 953 > 915 is true.
Watch out. Compare from the left. 953 is greater than 915.
Putting numbers in order
To put numbers in order, look at the hundreds first. The number with fewer hundreds is smaller.
If two numbers have the same hundreds, look at the tens. Then look at the ones.
Key ideas
- Order by hundreds, then tens, then ones.
- Smallest to largest: the smallest number comes first.
- Largest to smallest: the largest number comes first.
Method. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.512: 5 hundreds, 409: 4 hundreds, 527: 5 hundreds, 415: 4 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.409
- Write all the numbers in order. Check each one fits between the ones next to it.409, 415, 512, 527
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.640: 6 hundreds, 604: 6 hundreds, 46: 0 hundreds, 460: 4 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.640
- Write all the numbers in order. Check each one fits between the ones next to it.640, 604, 460, 46
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. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.250: 2 hundreds, 205: 2 hundreds, 520: 5 hundreds, 502: 5 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.205
- Write all the numbers in order. Check each one fits between the ones next to it.205, 250, 502, 520
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.
Watch out
Watch out. 46 is less than 460, not greater. Check the number of hundreds, not just the first digit you see.
Exam tip
Grown-up tip. Write each number on a card and move the cards into order. Ask: “Which one comes first?”
Exercise 3B Practice: putting numbers in order
Non-calculatorMethod. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.634: 6 hundreds, 208: 2 hundreds, 466: 4 hundreds, 636: 6 hundreds, 885: 8 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.208
- Write all the numbers in order. Check each one fits between the ones next to it.208, 466, 634, 636, 885
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.904: 9 hundreds, 161: 1 hundreds, 197: 1 hundreds, 157: 1 hundreds, 120: 1 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.904
- Write all the numbers in order. Check each one fits between the ones next to it.904, 197, 161, 157, 120
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.148: 1 hundreds, 557: 5 hundreds, 961: 9 hundreds, 842: 8 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.961
- Write all the numbers in order. Check each one fits between the ones next to it.961, 842, 557, 148
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.716: 7 hundreds, 805: 8 hundreds, 264: 2 hundreds, 303: 3 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.805
- Write all the numbers in order. Check each one fits between the ones next to it.805, 716, 303, 264
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.914: 9 hundreds, 604: 6 hundreds, 201: 2 hundreds, 774: 7 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.914
- Write all the numbers in order. Check each one fits between the ones next to it.914, 774, 604, 201
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. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.968: 9 hundreds, 849: 8 hundreds, 863: 8 hundreds, 938: 9 hundreds, 325: 3 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.325
- Write all the numbers in order. Check each one fits between the ones next to it.325, 849, 863, 938, 968
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. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.276: 2 hundreds, 621: 6 hundreds, 132: 1 hundreds, 925: 9 hundreds, 389: 3 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.132
- Write all the numbers in order. Check each one fits between the ones next to it.132, 276, 389, 621, 925
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.941: 9 hundreds, 532: 5 hundreds, 176: 1 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.941
- Write all the numbers in order. Check each one fits between the ones next to it.941, 532, 176
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. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.947: 9 hundreds, 673: 6 hundreds, 425: 4 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.425
- Write all the numbers in order. Check each one fits between the ones next to it.425, 673, 947
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.114: 1 hundreds, 777: 7 hundreds, 331: 3 hundreds, 999: 9 hundreds, 301: 3 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.999
- Write all the numbers in order. Check each one fits between the ones next to it.999, 777, 331, 301, 114
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.845: 8 hundreds, 864: 8 hundreds, 164: 1 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.864
- Write all the numbers in order. Check each one fits between the ones next to it.864, 845, 164
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.886: 8 hundreds, 599: 5 hundreds, 748: 7 hundreds, 496: 4 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.886
- Write all the numbers in order. Check each one fits between the ones next to it.886, 748, 599, 496
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. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.575: 5 hundreds, 509: 5 hundreds, 652: 6 hundreds, 580: 5 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.509
- Write all the numbers in order. Check each one fits between the ones next to it.509, 575, 580, 652
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.314: 3 hundreds, 200: 2 hundreds, 195: 1 hundreds, 461: 4 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.461
- Write all the numbers in order. Check each one fits between the ones next to it.461, 314, 200, 195
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. Put the numbers in order, smallest to largest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.979: 9 hundreds, 722: 7 hundreds, 557: 5 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.557
- Write all the numbers in order. Check each one fits between the ones next to it.557, 722, 979
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. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.577: 5 hundreds, 525: 5 hundreds, 806: 8 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.806
- Write all the numbers in order. Check each one fits between the ones next to it.806, 577, 525
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.
Greatest and least numbers
The greatest number is the one furthest to the right on a number line. The least number is the one furthest to the left.
Compare hundreds first, then tens, then ones, to find them.
Key ideas
- Greatest: the biggest number.
- Least: the smallest number.
- Use hundreds, tens and ones to compare.
Method. Find the greatest number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.731, 713, 371, 137
- Find the greatest hundreds. Keep only numbers with that many hundreds.731, 713
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.731
- Write the answer. This is the greatest number.731
Check. Compare 731 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 least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.504, 540, 450, 405
- Find the least hundreds. Keep only numbers with that many hundreds.450, 405
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.405
- Write the answer. This is the least number.405
Check. Compare 405 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. Find the greatest number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.292, 929, 299, 92
- Find the greatest hundreds. Keep only numbers with that many hundreds.929
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.929
- Write the answer. This is the greatest number.929
Check. Compare 929 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.
Watch out
Watch out. 92 is less than 929, even though 92 has a 9 in it. The number of hundreds matters most.
Exam tip
Grown-up tip. Ask the child to say which number has the most hundreds first, before looking at any other digit.
Exercise 3C Practice: greatest and least
Non-calculatorMethod. Find the least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.535, 879, 154, 825
- Find the least hundreds. Keep only numbers with that many hundreds.154
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.154
- Write the answer. This is the least number.154
Check. Compare 154 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. Find the least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.875, 653, 308, 565, 271
- Find the least hundreds. Keep only numbers with that many hundreds.271
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.271
- Write the answer. This is the least number.271
Check. Compare 271 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. Find the greatest number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.461, 457, 605, 555, 424
- Find the greatest hundreds. Keep only numbers with that many hundreds.605
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.605
- Write the answer. This is the greatest number.605
Check. Compare 605 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 least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.350, 838, 892, 653
- Find the least hundreds. Keep only numbers with that many hundreds.350
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.350
- Write the answer. This is the least number.350
Check. Compare 350 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. Find the greatest number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.429, 287, 998, 674, 452
- Find the greatest hundreds. Keep only numbers with that many hundreds.998
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.998
- Write the answer. This is the greatest number.998
Check. Compare 998 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 least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.966, 872, 586, 377, 263
- Find the least hundreds. Keep only numbers with that many hundreds.263
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.263
- Write the answer. This is the least number.263
Check. Compare 263 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. Find the greatest number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.930, 984, 748
- Find the greatest hundreds. Keep only numbers with that many hundreds.930, 984
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.984
- Write the answer. This is the greatest number.984
Check. Compare 984 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 least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.382, 338, 386, 946
- Find the least hundreds. Keep only numbers with that many hundreds.382, 338, 386
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.338
- Write the answer. This is the least number.338
Check. Compare 338 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. Find the least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.305, 646, 209, 330, 914
- Find the least hundreds. Keep only numbers with that many hundreds.209
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.209
- Write the answer. This is the least number.209
Check. Compare 209 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. Find the greatest number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.474, 155, 930, 692
- Find the greatest hundreds. Keep only numbers with that many hundreds.930
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.930
- Write the answer. This is the greatest number.930
Check. Compare 930 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 least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.767, 912, 336, 558
- Find the least hundreds. Keep only numbers with that many hundreds.336
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.336
- Write the answer. This is the least number.336
Check. Compare 336 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. Find the least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.771, 601, 253, 237, 465
- Find the least hundreds. Keep only numbers with that many hundreds.253, 237
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.237
- Write the answer. This is the least number.237
Check. Compare 237 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. Find the least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.823, 888, 969, 579, 239
- Find the least hundreds. Keep only numbers with that many hundreds.239
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.239
- Write the answer. This is the least number.239
Check. Compare 239 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. Find the greatest number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.606, 453, 589, 781
- Find the greatest hundreds. Keep only numbers with that many hundreds.781
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.781
- Write the answer. This is the greatest number.781
Check. Compare 781 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 least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.139, 263, 442
- Find the least hundreds. Keep only numbers with that many hundreds.139
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.139
- Write the answer. This is the least number.139
Check. Compare 139 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. Find the least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.145, 126, 873
- Find the least hundreds. Keep only numbers with that many hundreds.145, 126
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.126
- Write the answer. This is the least number.126
Check. Compare 126 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.
Estimating on a number line from 0 to 1000
On a number line from 0 to 1000, the hundreds are marked. A number between two hundreds is about halfway if it ends in 50.
To estimate, round to the nearest hundred. Look at the tens and ones.
Key ideas
- Count the hundreds marked on the line.
- Round to the nearest hundred when you estimate.
- If the tens and ones are 50 or more, the number is nearer to the next hundred.
Method. Find the hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 738. These are the two hundreds the number is between.700 and 800
- Find which hundred is nearer. 738 - 700 = 38, and 800 - 738 = 62.38 is less than 62
- Write the nearest hundred. This is the answer.700
Check. 700 is 38 away from 738, 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 hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 412. These are the two hundreds the number is between.400 and 500
- Find which hundred is nearer. 412 - 400 = 12, and 500 - 412 = 88.12 is less than 88
- Write the nearest hundred. This is the answer.400
Check. 400 is 12 away from 412, 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 distance from the number to each hundred. The shorter distance is the nearer one.
- Find the two hundreds. 683 is between 600 and 700.600 < 683 < 700
- Compare the distances. 683 - 600 = 83, 700 - 683 = 17.83 and 17
- Write the nearer hundred. The smaller distance is the nearer hundred.700
Check. 700 is nearer to 683 than the other hundred.
Watch out. The number is nearer to 600 than to 700 when it is less than 650.
Watch out
Watch out. 738 is nearer to 700 than to 800, because it is only 38 more than 700. Do not round to the wrong hundred.
Exam tip
Grown-up tip. Draw a number line on paper and mark the hundreds. Ask: “Is the number closer to the left or the right?”
Exercise 3D Practice: estimating on a number line
Non-calculatorMethod. Find the distance from the number to each hundred. The shorter distance is the nearer one.
- Find the two hundreds. 903 is between 900 and 1000.900 < 903 < 1000
- Compare the distances. 903 - 900 = 3, 1000 - 903 = 97.3 and 97
- Write the nearer hundred. The smaller distance is the nearer hundred.900
Check. 900 is nearer to 903 than the other hundred.
Watch out. The number is nearer to 600 than to 700 when it is less than 650.
Method. Find the hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 708. These are the two hundreds the number is between.700 and 800
- Find which hundred is nearer. 708 - 700 = 8, and 800 - 708 = 92.8 is less than 92
- Write the nearest hundred. This is the answer.700
Check. 700 is 8 away from 708, 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 hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 822. These are the two hundreds the number is between.800 and 900
- Find which hundred is nearer. 822 - 800 = 22, and 900 - 822 = 78.22 is less than 78
- Write the nearest hundred. This is the answer.800
Check. 800 is 22 away from 822, 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 hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 966. These are the two hundreds the number is between.900 and 1000
- Find which hundred is nearer. 966 - 900 = 66, and 1000 - 966 = 34.34 is less than 66
- Write the nearest hundred. This is the answer.1000
Check. 1000 is 34 away from 966, 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 distance from the number to each hundred. The shorter distance is the nearer one.
- Find the two hundreds. 976 is between 900 and 1000.900 < 976 < 1000
- Compare the distances. 976 - 900 = 76, 1000 - 976 = 24.76 and 24
- Write the nearer hundred. The smaller distance is the nearer hundred.1000
Check. 1000 is nearer to 976 than the other hundred.
Watch out. The number is nearer to 600 than to 700 when it is less than 650.
Method. Find the hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 848. These are the two hundreds the number is between.800 and 900
- Find which hundred is nearer. 848 - 800 = 48, and 900 - 848 = 52.48 is less than 52
- Write the nearest hundred. This is the answer.800
Check. 800 is 48 away from 848, 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 distance from the number to each hundred. The shorter distance is the nearer one.
- Find the two hundreds. 826 is between 800 and 900.800 < 826 < 900
- Compare the distances. 826 - 800 = 26, 900 - 826 = 74.26 and 74
- Write the nearer hundred. The smaller distance is the nearer hundred.800
Check. 800 is nearer to 826 than the other hundred.
Watch out. The number is nearer to 600 than to 700 when it is less than 650.
Method. Find the hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 357. These are the two hundreds the number is between.300 and 400
- Find which hundred is nearer. 357 - 300 = 57, and 400 - 357 = 43.43 is less than 57
- Write the nearest hundred. This is the answer.400
Check. 400 is 43 away from 357, 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 hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 849. These are the two hundreds the number is between.800 and 900
- Find which hundred is nearer. 849 - 800 = 49, and 900 - 849 = 51.49 is less than 51
- Write the nearest hundred. This is the answer.800
Check. 800 is 49 away from 849, 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 distance from the number to each hundred. The shorter distance is the nearer one.
- Find the two hundreds. 982 is between 900 and 1000.900 < 982 < 1000
- Compare the distances. 982 - 900 = 82, 1000 - 982 = 18.82 and 18
- Write the nearer hundred. The smaller distance is the nearer hundred.1000
Check. 1000 is nearer to 982 than the other hundred.
Watch out. The number is nearer to 600 than to 700 when it is less than 650.
Method. Find the distance from the number to each hundred. The shorter distance is the nearer one.
- Find the two hundreds. 141 is between 100 and 200.100 < 141 < 200
- Compare the distances. 141 - 100 = 41, 200 - 141 = 59.41 and 59
- Write the nearer hundred. The smaller distance is the nearer hundred.100
Check. 100 is nearer to 141 than the other hundred.
Watch out. The number is nearer to 600 than to 700 when it is less than 650.
Method. Find the hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 443. These are the two hundreds the number is between.400 and 500
- Find which hundred is nearer. 443 - 400 = 43, and 500 - 443 = 57.43 is less than 57
- Write the nearest hundred. This is the answer.400
Check. 400 is 43 away from 443, 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 hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 433. These are the two hundreds the number is between.400 and 500
- Find which hundred is nearer. 433 - 400 = 33, and 500 - 433 = 67.33 is less than 67
- Write the nearest hundred. This is the answer.400
Check. 400 is 33 away from 433, 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 distance from the number to each hundred. The shorter distance is the nearer one.
- Find the two hundreds. 744 is between 700 and 800.700 < 744 < 800
- Compare the distances. 744 - 700 = 44, 800 - 744 = 56.44 and 56
- Write the nearer hundred. The smaller distance is the nearer hundred.700
Check. 700 is nearer to 744 than the other hundred.
Watch out. The number is nearer to 600 than to 700 when it is less than 650.
Method. Find the hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 232. These are the two hundreds the number is between.200 and 300
- Find which hundred is nearer. 232 - 200 = 32, and 300 - 232 = 68.32 is less than 68
- Write the nearest hundred. This is the answer.200
Check. 200 is 32 away from 232, 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 hundreds either side. The nearer one is the answer.
- Find the hundreds either side of 811. These are the two hundreds the number is between.800 and 900
- Find which hundred is nearer. 811 - 800 = 11, and 900 - 811 = 89.11 is less than 89
- Write the nearest hundred. This is the answer.800
Check. 800 is 11 away from 811, 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.
Chapter summary
| Skill | Method |
|---|---|
| Compare two numbers | Compare hundreds, then tens, then ones; use <, > or = |
| Order a set | Compare hundreds, then tens, then ones; write the numbers in order |
| Greatest and least | Find the most (or fewest) hundreds, then the tens and ones |
| Estimate on a number line | Find the two hundreds either side; the nearer one is the estimate |
Can you…?
- I can compare two numbers up to 1000 with <, > and =
- I can put up to five numbers in order, both ways
- I can find the greatest and least number in a set
- I can estimate where a number goes on a 0 to 1000 number line
Key terms
- less than
- smaller than; the sign is <
- greater than
- bigger than; the sign is >
- estimate
- a sensible guess that is close to the exact answer
- nearest
- the one that is closest in value to the number
Exercise 3Z Check-up
Non-calculatorMethod. Put the numbers in order, largest to smallest. Compare hundreds first, then tens, then ones.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.209: 2 hundreds, 333: 3 hundreds, 352: 3 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.352
- 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.
- Find the hundreds either side of 622. These are the two hundreds the number is between.600 and 700
- Find which hundred is nearer. 622 - 600 = 22, and 700 - 622 = 78.22 is less than 78
- 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.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.680, 287, 669
- Find the greatest hundreds. Keep only numbers with that many hundreds.680, 669
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.680
- 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.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.200, 780, 428
- Find the greatest hundreds. Keep only numbers with that many hundreds.780
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.780
- 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.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.466, 829, 897, 641
- Find the greatest hundreds. Keep only numbers with that many hundreds.829, 897
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.897
- 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.
- Find the two hundreds. 506 is between 500 and 600.500 < 506 < 600
- Compare the distances. 506 - 500 = 6, 600 - 506 = 94.6 and 94
- 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.
- Start with the hundreds digits. The digit in the largest place decides first.8 and 3
- The hundreds decide. 8 is more than 3 in the hundreds place.8 and 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.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.197, 904, 438
- Find the least hundreds. Keep only numbers with that many hundreds.197
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.197
- 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.
- Start with the hundreds digits. The digit in the largest place decides first.8 and 7
- The hundreds decide. 8 is more than 7 in the hundreds place.8 and 7
- 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.
- Compare the hundreds of each number. The number with fewer hundreds is smaller.841: 8 hundreds, 116: 1 hundreds, 611: 6 hundreds
- Find the first number in the order. It is the smallest, or the largest if we go the other way.116
- 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.
Total 19 marks. Allow about 19 minutes.
Exercise 3X Practice test questions
Non-calculatorMethod. Find the least number by comparing hundreds, then tens, then ones.
- Look at the hundreds of each number. For the least, look for the fewest hundreds, then the fewest tens.307, 124, 910, 113, 719
- Find the least hundreds. Keep only numbers with that many hundreds.124, 113
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.113
- 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.
- 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
- Find the first number in the order. It is the smallest, or the largest if we go the other way.103
- 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.
- Start with the hundreds digits. The digit in the largest place decides first.4 and 3
- The hundreds decide. 4 is more than 3 in the hundreds place.4 and 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.
- 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
- Find the first number in the order. It is the smallest, or the largest if we go the other way.146
- 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.
- Start with the hundreds digits. The digit in the largest place decides first.8 and 8
- All the digits are the same. The numbers are equal.875 and 875 are the same
- 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.
- Find the two hundreds. 316 is between 300 and 400.300 < 316 < 400
- Compare the distances. 316 - 300 = 16, 400 - 316 = 84.16 and 84
- 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.
- 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
- Find the first number in the order. It is the smallest, or the largest if we go the other way.847
- 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.
- Look at the hundreds of each number. For the greatest, look for the most hundreds, then the most tens.678, 504, 737, 131, 725
- Find the greatest hundreds. Keep only numbers with that many hundreds.737, 725
- Compare the tens, then the ones, of the numbers left. The one with the most or fewest tens, then ones, is the answer.737
- 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.
- 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
- Find the first number in the order. It is the smallest, or the largest if we go the other way.583
- 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.
- Find the hundreds either side of 947. These are the two hundreds the number is between.900 and 1000
- Find which hundred is nearer. 947 - 900 = 47, and 1000 - 947 = 53.47 is less than 53
- 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.