Build decimal numbers worksheets| Worsheets library - Free Printable

Let's solve each problem by converting the expanded form of decimal numbers into their normal (standard) form.

We’ll go step-by-step for each question, adding up all the values to get the final number.

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1) 300 + 60 + 4 + 0.3 + 0.01 + 0.001

Break it down:
- Whole numbers: 300 + 60 + 4 = 364
- Decimal parts: 0.3 + 0.01 + 0.001 = 0.311
- Total: 364 + 0.311 = 364.311

✔ Answer: 364.311

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2) 3,000 + 100 + 80 + 1 + 0.4 + 0.05

Whole numbers: 3,000 + 100 + 80 + 1 = 3,181
Decimal: 0.4 + 0.05 = 0.45
Total: 3,181 + 0.45 = 3,181.45

✔ Answer: 3,181.45

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3) 80,000 + 7,000 + 300 + 80 + 1 + 0.9

Whole numbers: 80,000 + 7,000 = 87,000; +300 = 87,300; +80 = 87,380; +1 = 87,381
Decimal: 0.9
Total: 87,381 + 0.9 = 87,381.9

✔ Answer: 87,381.9

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4) 600 + 10 + 9 + 0.09 + 0.007

Whole: 600 + 10 + 9 = 619
Decimal: 0.09 + 0.007 = 0.097
Total: 619 + 0.097 = 619.097

✔ Answer: 619.097

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5) 4,000 + 100 + 90 + 4 + 0.3

Whole: 4,000 + 100 = 4,100; +90 = 4,190; +4 = 4,194
Decimal: 0.3
Total: 4,194 + 0.3 = 4,194.3

✔ Answer: 4,194.3

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6) 3,000 + 600 + 40 + 2 + 0.1 + 0.07

Whole: 3,000 + 600 = 3,600; +40 = 3,640; +2 = 3,642
Decimal: 0.1 + 0.07 = 0.17
Total: 3,642 + 0.17 = 3,642.17

✔ Answer: 3,642.17

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7) 40,000 + 2,000 + 90 + 2 + 0.7

Whole: 40,000 + 2,000 = 42,000; +90 = 42,090; +2 = 42,092
Decimal: 0.7
Total: 42,092 + 0.7 = 42,092.7

✔ Answer: 42,092.7

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8) 700 + 30 + 4 + 0.2 + 0.01 + 0.004

Whole: 700 + 30 + 4 = 734
Decimal: 0.2 + 0.01 + 0.004 = 0.214
Total: 734 + 0.214 = 734.214

✔ Answer: 734.214

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9) 7,000 + 200 + 50 + 5 + 0.5 + 0.01

Whole: 7,000 + 200 = 7,200; +50 = 7,250; +5 = 7,255
Decimal: 0.5 + 0.01 = 0.51
Total: 7,255 + 0.51 = 7,255.51

✔ Answer: 7,255.51

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10) 900 + 30 + 6 + 0.7 + 0.01 + 0.007

Whole: 900 + 30 + 6 = 936
Decimal: 0.7 + 0.01 + 0.007 = 0.717
Total: 936 + 0.717 = 936.717

✔ Answer: 936.717

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11) 40,000 + 6,000 + 50 + 1 + 0.8

Whole: 40,000 + 6,000 = 46,000; +50 = 46,050; +1 = 46,051
Decimal: 0.8
Total: 46,051 + 0.8 = 46,051.8

✔ Answer: 46,051.8

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12) 100 + 40 + 9 + 0.4 + 0.02 + 0.001

Whole: 100 + 40 + 9 = 149
Decimal: 0.4 + 0.02 + 0.001 = 0.421
Total: 149 + 0.421 = 149.421

✔ Answer: 149.421

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13) 700 + 70 + 9 + 0.08

Whole: 700 + 70 + 9 = 779
Decimal: 0.08
Total: 779 + 0.08 = 779.08

✔ Answer: 779.08

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14) 900 + 50 + 6 + 0.8 + 0.03 + 0.007

Whole: 900 + 50 + 6 = 956
Decimal: 0.8 + 0.03 + 0.007 = 0.837
Total: 956 + 0.837 = 956.837

✔ Answer: 956.837

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15) 20,000 + 1,000 + 800 + 70 + 3 + 0.6

Whole: 20,000 + 1,000 = 21,000; +800 = 21,800; +70 = 21,870; +3 = 21,873
Decimal: 0.6
Total: 21,873 + 0.6 = 21,873.6

✔ Answer: 21,873.6

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✔ Final Answers:

| # | Normal Form |
|---|---------------------|
| 1 | 364.311 |
| 2 | 3,181.45 |
| 3 | 87,381.9 |
| 4 | 619.097 |
| 5 | 4,194.3 |
| 6 | 3,642.17 |
| 7 | 42,092.7 |
| 8 | 734.214 |
| 9 | 7,255.51 |
|10 | 936.717 |
|11 | 46,051.8 |
|12 | 149.421 |
|13 | 779.08 |
|14 | 956.837 |
|15 | 21,873.6 |

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🔍 Explanation:

To convert from expanded form to normal form:
- Add all the whole number parts together.
- Add all the decimal parts together.
- Combine both sums to get the final number.

This helps reinforce understanding of place value, especially with decimals (tenths, hundredths, thousandths).

Let me know if you'd like this as a printable worksheet or need help with another topic!