Comparing and Ordering Whole Numbers Worksheet interactive ... - Free Printable

Here are the solutions to the math problems on your worksheet.

Part 1: Compare each set of numbers using <, > or =

To compare these numbers, we look at the digits starting from the left (the highest place value).

1. 383 565 vs 383 656
* The first three digits (383) are the same.
* Look at the hundreds place: 5 is less than 6.
* So, 383 565 is smaller.
* Answer: $<$

2. 945 939 vs 954 293
* Look at the ten-thousands place: 4 is less than 5.
* So, 945 939 is smaller.
* Answer: $<$

3. 727 989 vs 721 999
* The first two digits (72) are the same.
* Look at the thousands place: 7 is greater than 1.
* So, 727 989 is larger.
* Answer: $>$

4. 456 283 vs 456 283
* Every digit is exactly the same.
* Answer: $=$

5. 75 987 vs 621 987
* Count the digits. The first number has 5 digits. The second number has 6 digits.
* A 6-digit number is always larger than a 5-digit number.
* Answer: $<$

6. 200 504 vs 200 405
* The first three digits (200) are the same.
* Look at the hundreds place: 5 is greater than 4.
* So, 200 504 is larger.
* Answer: $>$

7. 103 419 vs 130 415
* Look at the ten-thousands place: 0 is less than 3.
* So, 103 419 is smaller.
* Answer: $<$

8. 687 223 vs 87 223
* The first number has 6 digits. The second number has 5 digits.
* The 6-digit number is larger.
* Answer: $>$

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Part 2: Order the following numbers from largest to smallest

We need to arrange the numbers in each row so the biggest number is on the left and the smallest is on the right.

Row 1: 5262514, 1726327, 2736171, 728381
* Step 1: Check the number of digits.
* 5262514 (7 digits)
* 1726327 (7 digits)
* 2736171 (7 digits)
* 728381 (6 digits) -> This is the smallest.
* Step 2: Compare the 7-digit numbers by looking at the first digit (millions place).
* 5... vs 1... vs 2...
* 5 is the biggest, then 2, then 1.
* Order: 5262514, 2736171, 1726327.
* Final Order: 5262514, 2736171, 1726327, 728381

Row 2: 526154, 2737186, 72985, 1527371
* Step 1: Check digits.
* 2737186 (7 digits) -> Largest
* 1527371 (7 digits)
* 526154 (6 digits)
* 72985 (5 digits) -> Smallest
* Step 2: Compare the two 7-digit numbers.
* 2... vs 1... -> 2 is bigger.
* Final Order: 2737186, 1527371, 526154, 72985

Row 3: 812746, 1028472, 673281, 1625163
* Step 1: Check digits.
* 1625163 (7 digits) -> Largest
* 1028472 (7 digits)
* 812746 (6 digits)
* 673281 (6 digits)
* Step 2: Compare the 7-digit numbers.
* 16... vs 10... -> 16 is bigger.
* Step 3: Compare the 6-digit numbers.
* 8... vs 6... -> 8 is bigger.
* Final Order: 1625163, 1028472, 812746, 673281

Row 4: 2637189, 6261638, 472716, 3720928
* Step 1: Check digits.
* 6261638 (7 digits)
* 3720928 (7 digits)
* 2637189 (7 digits)
* 472716 (6 digits) -> Smallest
* Step 2: Compare the 7-digit numbers by the first digit.
* 6... vs 3... vs 2...
* 6 is biggest, then 3, then 2.
* Final Order: 6261638, 3720928, 2637189, 472716

Row 5: 829417, 2039813, 1643728, 683921
* Step 1: Check digits.
* 2039813 (7 digits)
* 1643728 (7 digits)
* 829417 (6 digits)
* 683921 (6 digits)
* Step 2: Compare the 7-digit numbers.
* 2... vs 1... -> 2 is bigger.
* Step 3: Compare the 6-digit numbers.
* 8... vs 6... -> 8 is bigger.
* Final Order: 2039813, 1643728, 829417, 683921

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Final Answer:

Compare (<, >, =):
1. $<$
2. $<$
3. $>$
4. $=$
5. $<$
6. $>$
7. $<$
8. $>$

Order from largest to smallest:
1. 5262514, 2736171, 1726327, 728381
2. 2737186, 1527371, 526154, 72985
3. 1625163, 1028472, 812746, 673281
4. 6261638, 3720928, 2637189, 472716
5. 2039813, 1643728, 829417, 683921