Printable math worksheet for ordering 6-digit numbers from least to greatest, designed for educational practice.
Worksheet titled "Ordering Numbers: 6-Digit" with four sections for ordering numbers from least to greatest, including a space for students to write their own 6-digit numbers.
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Step-by-step solution for: Comparing and Ordering 6-Digit Numbers: Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Comparing and Ordering 6-Digit Numbers: Worksheets
Let’s solve each part step by step. We need to order the numbers from least to greatest — that means smallest number first, then bigger ones, up to the biggest.
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Numbers: 340,034 | 304,043 | 340,340 | 430,040 | 430,004
Step 1: Look at the hundred thousands place (first digit).
- 304,043 → starts with 3
- 340,034 → starts with 3
- 340,340 → starts with 3
- 430,040 → starts with 4
- 430,004 → starts with 4
So the two starting with 4 are bigger than the three starting with 3. Let’s group them:
Group 1 (start with 3): 304,043; 340,034; 340,340
Group 2 (start with 4): 430,040; 430,004
Now compare within Group 1:
All start with “3”, so look at next digit (ten thousands):
- 304,043 → 0 in ten thousands
- 340,034 → 4 in ten thousands
- 340,340 → 4 in ten thousands
→ So 304,043 is smallest in this group.
Now compare 340,034 and 340,340:
Both have “340” in first three digits. Next digit (hundreds place):
- 340,034 → 0 in hundreds
- 340,340 → 3 in hundreds
→ So 340,034 < 340,340
Group 1 ordered: 304,043 ; 340,034 ; 340,340
Now Group 2: 430,040 and 430,004
Same first four digits: “430,0”
Look at tens place:
- 430,040 → 4 in tens
- 430,004 → 0 in tens
→ So 430,004 < 430,040
Final order for part a:
304,043 ; 340,034 ; 340,340 ; 430,004 ; 430,040
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Numbers: 609,229 | 69,929 | 609,292 | 690,229 | 69,292
First, notice some numbers have only 5 digits! That means they’re smaller than any 6-digit number.
5-digit numbers: 69,929 and 69,292
6-digit numbers: 609,229 ; 609,292 ; 690,229
Compare 5-digit numbers:
69,292 vs 69,929 → same first two digits “69”, then compare hundreds:
- 69,292 → 2 in hundreds
- 69,929 → 9 in hundreds
→ So 69,292 < 69,929
Now 6-digit numbers:
609,229 ; 609,292 ; 690,229
Compare first three digits:
- 609,229 and 609,292 → both start with “609”
- 690,229 → starts with “690” → bigger than “609”
So 690,229 is largest among these.
Now compare 609,229 and 609,292:
Same up to “609,2”, then look at tens:
- 609,229 → 2 in tens
- 609,292 → 9 in tens
→ So 609,229 < 609,292
Order of 6-digit numbers: 609,229 ; 609,292 ; 690,229
Put all together:
69,292 ; 69,929 ; 609,229 ; 609,292 ; 690,229
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Numbers: 733,533 | 735,553 | 733,353 | 735,535 | 735,335
All start with “73” or “735”. Let’s break it down.
First, look at first three digits:
- 733,533 → 733
- 733,353 → 733
- 735,553 → 735
- 735,535 → 735
- 735,335 → 735
So 733xxx are smaller than 735xxx.
Group 1 (733): 733,533 and 733,353
Compare: both start with “733,” then look at hundreds:
- 733,533 → 5 in hundreds
- 733,353 → 3 in hundreds
→ So 733,353 < 733,533
Group 2 (735): 735,553 ; 735,535 ; 735,335
Compare last three digits:
- 735,335 → ends with 335
- 735,535 → ends with 535
- 735,553 → ends with 553
So order: 735,335 < 735,535 < 735,553
Full order:
733,353 ; 733,533 ; 735,335 ; 735,535 ; 735,553
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Numbers: 980,001 | 99,800 | 988,101 | 980,010 | 980,100
Again, check how many digits:
- 99,800 → 5 digits → smallest
Others are 6 digits: 980,001 ; 988,101 ; 980,010 ; 980,100
Compare 6-digit numbers:
All start with “98” except 988,101 which starts with “988” → bigger than “980”
So 988,101 is largest.
Now compare the rest: 980,001 ; 980,010 ; 980,100
All start with “980,” then look at last three digits:
- 980,001 → 001
- 980,010 → 010
- 980,100 → 100
So order: 980,001 < 980,010 < 980,100
Full order:
99,800 ; 980,001 ; 980,010 ; 980,100 ; 988,101
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a. 304,043 ; 340,034 ; 340,340 ; 430,004 ; 430,040
b. 69,292 ; 69,929 ; 609,229 ; 609,292 ; 690,229
c. 733,353 ; 733,533 ; 735,335 ; 735,535 ; 735,553
d. 99,800 ; 980,001 ; 980,010 ; 980,100 ; 988,101
For the box at the bottom, you can write any five 6-digit numbers — here’s an example set you could use:
Example: 123,456 ; 234,567 ; 345,678 ; 456,789 ; 567,890
(Ordered already from least to greatest)
But since the question says “have a friend rewrite them,” you just need to pick any five — ordering isn’t required for your answer unless asked. But if you want to be safe, pick them in random order and let your friend sort them.
Here’s a random set you can write:
Random set for box: 500,100 ; 200,300 ; 800,500 ; 100,200 ; 600,400
Your friend would reorder them as: 100,200 ; 200,300 ; 500,100 ; 600,400 ; 800,500
But again — you don’t have to order them yourself for the box. Just write five 6-digit numbers.
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Final Answer:
a. 304,043 ; 340,034 ; 340,340 ; 430,004 ; 430,040
b. 69,292 ; 69,929 ; 609,229 ; 609,292 ; 690,229
c. 733,353 ; 733,533 ; 735,335 ; 735,535 ; 735,553
d. 99,800 ; 980,001 ; 980,010 ; 980,100 ; 988,101
Box (example): 500,100 ; 200,300 ; 800,500 ; 100,200 ; 600,400
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Part a:
Numbers: 340,034 | 304,043 | 340,340 | 430,040 | 430,004
Step 1: Look at the hundred thousands place (first digit).
- 304,043 → starts with 3
- 340,034 → starts with 3
- 340,340 → starts with 3
- 430,040 → starts with 4
- 430,004 → starts with 4
So the two starting with 4 are bigger than the three starting with 3. Let’s group them:
Group 1 (start with 3): 304,043; 340,034; 340,340
Group 2 (start with 4): 430,040; 430,004
Now compare within Group 1:
All start with “3”, so look at next digit (ten thousands):
- 304,043 → 0 in ten thousands
- 340,034 → 4 in ten thousands
- 340,340 → 4 in ten thousands
→ So 304,043 is smallest in this group.
Now compare 340,034 and 340,340:
Both have “340” in first three digits. Next digit (hundreds place):
- 340,034 → 0 in hundreds
- 340,340 → 3 in hundreds
→ So 340,034 < 340,340
Group 1 ordered: 304,043 ; 340,034 ; 340,340
Now Group 2: 430,040 and 430,004
Same first four digits: “430,0”
Look at tens place:
- 430,040 → 4 in tens
- 430,004 → 0 in tens
→ So 430,004 < 430,040
Final order for part a:
304,043 ; 340,034 ; 340,340 ; 430,004 ; 430,040
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Part b:
Numbers: 609,229 | 69,929 | 609,292 | 690,229 | 69,292
First, notice some numbers have only 5 digits! That means they’re smaller than any 6-digit number.
5-digit numbers: 69,929 and 69,292
6-digit numbers: 609,229 ; 609,292 ; 690,229
Compare 5-digit numbers:
69,292 vs 69,929 → same first two digits “69”, then compare hundreds:
- 69,292 → 2 in hundreds
- 69,929 → 9 in hundreds
→ So 69,292 < 69,929
Now 6-digit numbers:
609,229 ; 609,292 ; 690,229
Compare first three digits:
- 609,229 and 609,292 → both start with “609”
- 690,229 → starts with “690” → bigger than “609”
So 690,229 is largest among these.
Now compare 609,229 and 609,292:
Same up to “609,2”, then look at tens:
- 609,229 → 2 in tens
- 609,292 → 9 in tens
→ So 609,229 < 609,292
Order of 6-digit numbers: 609,229 ; 609,292 ; 690,229
Put all together:
69,292 ; 69,929 ; 609,229 ; 609,292 ; 690,229
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Part c:
Numbers: 733,533 | 735,553 | 733,353 | 735,535 | 735,335
All start with “73” or “735”. Let’s break it down.
First, look at first three digits:
- 733,533 → 733
- 733,353 → 733
- 735,553 → 735
- 735,535 → 735
- 735,335 → 735
So 733xxx are smaller than 735xxx.
Group 1 (733): 733,533 and 733,353
Compare: both start with “733,” then look at hundreds:
- 733,533 → 5 in hundreds
- 733,353 → 3 in hundreds
→ So 733,353 < 733,533
Group 2 (735): 735,553 ; 735,535 ; 735,335
Compare last three digits:
- 735,335 → ends with 335
- 735,535 → ends with 535
- 735,553 → ends with 553
So order: 735,335 < 735,535 < 735,553
Full order:
733,353 ; 733,533 ; 735,335 ; 735,535 ; 735,553
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Part d:
Numbers: 980,001 | 99,800 | 988,101 | 980,010 | 980,100
Again, check how many digits:
- 99,800 → 5 digits → smallest
Others are 6 digits: 980,001 ; 988,101 ; 980,010 ; 980,100
Compare 6-digit numbers:
All start with “98” except 988,101 which starts with “988” → bigger than “980”
So 988,101 is largest.
Now compare the rest: 980,001 ; 980,010 ; 980,100
All start with “980,” then look at last three digits:
- 980,001 → 001
- 980,010 → 010
- 980,100 → 100
So order: 980,001 < 980,010 < 980,100
Full order:
99,800 ; 980,001 ; 980,010 ; 980,100 ; 988,101
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Final Answers:
a. 304,043 ; 340,034 ; 340,340 ; 430,004 ; 430,040
b. 69,292 ; 69,929 ; 609,229 ; 609,292 ; 690,229
c. 733,353 ; 733,533 ; 735,335 ; 735,535 ; 735,553
d. 99,800 ; 980,001 ; 980,010 ; 980,100 ; 988,101
For the box at the bottom, you can write any five 6-digit numbers — here’s an example set you could use:
Example: 123,456 ; 234,567 ; 345,678 ; 456,789 ; 567,890
(Ordered already from least to greatest)
But since the question says “have a friend rewrite them,” you just need to pick any five — ordering isn’t required for your answer unless asked. But if you want to be safe, pick them in random order and let your friend sort them.
Here’s a random set you can write:
Random set for box: 500,100 ; 200,300 ; 800,500 ; 100,200 ; 600,400
Your friend would reorder them as: 100,200 ; 200,300 ; 500,100 ; 600,400 ; 800,500
But again — you don’t have to order them yourself for the box. Just write five 6-digit numbers.
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Final Answer:
a. 304,043 ; 340,034 ; 340,340 ; 430,004 ; 430,040
b. 69,292 ; 69,929 ; 609,229 ; 609,292 ; 690,229
c. 733,353 ; 733,533 ; 735,335 ; 735,535 ; 735,553
d. 99,800 ; 980,001 ; 980,010 ; 980,100 ; 988,101
Box (example): 500,100 ; 200,300 ; 800,500 ; 100,200 ; 600,400
Parent Tip: Review the logic above to help your child master the concept of ordering numbers worksheet grade 5.