Ordering Fractions, Decimals, and Whole Numbers Worksheet - Have ... - Free Printable

Let’s go through each problem one by one. We need to order the numbers from least to greatest — that means smallest first, then bigger ones, up to the largest.

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Problem 1:
Numbers: 856, 238, 307, 264, 384, 91

Step-by-step:
- Look at all the numbers.
- The smallest is 91 (only two digits).
- Then look at the three-digit numbers: 238, 264, 307, 384, 856.
- Compare hundreds place: 2xx < 3xx < 8xx
- Among 2xx: 238 and 264 → 238 < 264
- Among 3xx: 307 and 384 → 307 < 384
- So order: 91, 238, 264, 307, 384, 856

✔ Final for #1:
91, 238, 264, 307, 384, 856

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Problem 2:
Numbers: 1,274; 2,845; 945; 459; 1,724; 2,484

Step-by-step:
- Smallest? Look at number of digits or compare thousands.
- 459 and 945 are under 1,000 → 459 < 945
- Then 1,274 and 1,724 → both start with 1 → compare next digit: 2 vs 7 → 1,274 < 1,724
- Then 2,484 and 2,845 → both start with 2 → compare next: 4 vs 8 → 2,484 < 2,845
- Full order: 459, 945, 1,274, 1,724, 2,484, 2,845

✔ Final for #2:
459, 945, 1274, 1724, 2484, 2845

*(Note: Commas optional in answer, but we’ll write without commas as per worksheet style)*

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Problem 3:
Numbers: 7,732; 7,347; 7,017; 6,348; 8,734; 9,001

Step-by-step:
- Start with smallest thousand: 6,348
- Then 7,xxx group: 7,017; 7,347; 7,732 → compare hundreds: 0 < 3 < 7 → so 7,017 < 7,347 < 7,732
- Then 8,734
- Then 9,001
- Order: 6,348; 7,017; 7,347; 7,732; 8,734; 9,001

✔ Final for #3:
6348, 7017, 7347, 7732, 8734, 9001

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Problem 4:
Numbers: 16.4; 26.7; 8.99; 3.901; 14.5; 14.22

Step-by-step:
- These are decimals. Compare whole number part first.
- Whole parts: 3, 8, 14, 14, 16, 26
- So 3.901 is smallest
- Then 8.99
- Then 14.5 and 14.22 → same whole part → compare tenths: 2 < 5 → so 14.22 < 14.5
- Then 16.4
- Then 26.7
- Order: 3.901, 8.99, 14.22, 14.5, 16.4, 26.7

✔ Final for #4:
3.901, 8.99, 14.22, 14.5, 16.4, 26.7

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Problem 5:
Numbers: 478.14; 109.2; 999.9; 463.3; 295.6; 111.4

Step-by-step:
- Compare whole numbers first.
- 109.2 and 111.4 → 109 < 111 → so 109.2 < 111.4
- Then 295.6
- Then 463.3 and 478.14 → 463 < 478 → so 463.3 < 478.14
- Then 999.9
- Order: 109.2, 111.4, 295.6, 463.3, 478.14, 999.9

✔ Final for #5:
109.2, 111.4, 295.6, 463.3, 478.14, 999.9

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Problem 6:
Mixed numbers: 36¾, 54¼, 63¾, 45¼, 21½, 12¼

Step-by-step:
- First, compare whole numbers: 12, 21, 36, 45, 54, 63
- So order by whole number: 12¼, 21½, 36¾, 45¼, 54¼, 63¾
- No ties in whole numbers, so no need to compare fractions further.

✔ Final for #6:
12¼, 21½, 36¾, 45¼, 54¼, 63¾

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Problem 7:
Mixed numbers: 4¾, 4½, 4¼, 3¾, 3¼, 3½

Step-by-step:
- Group by whole number: 3s and 4s
- For 3s: 3¼, 3½, 3¾ → since ¼ < ½ < ¾
- For 4s: 4¼, 4½, 4¾ → same logic: ¼ < ½ < ¾
- So full order: 3¼, 3½, 3¾, 4¼, 4½, 4¾

✔ Final for #7:
3¼, 3½, 3¾, 4¼, 4½, 4¾

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Final Answer:

1. 91, 238, 264, 307, 384, 856
2. 459, 945, 1274, 1724, 2484, 2845
3. 6348, 7017, 7347, 7732, 8734, 9001
4. 3.901, 8.99, 14.22, 14.5, 16.4, 26.7
5. 109.2, 111.4, 295.6, 463.3, 478.14, 999.9
6. 12¼, 21½, 36¾, 45¼, 54¼, 63¾
7. 3¼, 3½, 3¾, 4¼, 4½, 4¾