Decimal Worksheets - Free Printable

Let's solve each part of the worksheet step by step. The goal is to write the decimal and the fraction for the shaded portion in each grid.

Each grid represents a whole, and we need to determine what fraction and decimal the shaded area represents.

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Key Concepts:

- A 10x10 grid has 100 squares → represents hundredths (0.01 per square).
- A 10x1 strip or 10 rows/columns can represent tenths (0.1 per column/row).
- We’ll convert shaded parts into:
- Fraction: e.g., 35/100
- Decimal: e.g., 0.35

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Now let’s go through each one:

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a.

- Grid: 10x10 = 100 squares
- Shaded: First column (10 squares) + 2 more squares in second column → 12 squares
- Fraction: 12/100
- Simplify: 12/100 = 3/25
- Decimal: 0.12

✔ Answer: 12/100 or 3/25, 0.12

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b.

- Grid: 10x10 = 100 squares
- Shaded: 3 full columns → 3 × 10 = 30 squares
- Fraction: 30/100 = 3/10
- Decimal: 0.30 or 0.3

✔ Answer: 30/100 or 3/10, 0.30

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c.

- Grid: 10x10 = 100 squares
- Shaded: 4 full columns → 4 × 10 = 40 squares
- Fraction: 40/100 = 2/5
- Decimal: 0.40 or 0.4

✔ Answer: 40/100 or 2/5, 0.40

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d.

- Grid: 10 horizontal lines → 10 equal parts (tenths)
- Shaded: Bottom 1 line → 1/10
- Fraction: 1/10
- Decimal: 0.1

✔ Answer: 1/10, 0.1

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e.

- Grid: 10x10 = 100 squares
- Shaded: Top 2 rows → 2 × 10 = 20 squares
- Fraction: 20/100 = 1/5
- Decimal: 0.20 or 0.2

✔ Answer: 20/100 or 1/5, 0.20

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f.

- Grid: 10x10 = 100 squares
- Shaded: 7 full columns → 7 × 10 = 70 squares
- Fraction: 70/100 = 7/10
- Decimal: 0.70 or 0.7

✔ Answer: 70/100 or 7/10, 0.70

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g.

- Grid: 10x10 = 100 squares
- Shaded: 6 full columns → 6 × 10 = 60 squares
- Fraction: 60/100 = 3/5
- Decimal: 0.60 or 0.6

✔ Answer: 60/100 or 3/5, 0.60

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h.

- Grid: 10x10 = 100 squares
- Shaded: One vertical column → 10 squares
- Fraction: 10/100 = 1/10
- Decimal: 0.10 or 0.1

✔ Answer: 10/100 or 1/10, 0.10

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i.

- Grid: 10x10 = 100 squares
- Shaded: Only 1 square
- Fraction: 1/100
- Decimal: 0.01

✔ Answer: 1/100, 0.01

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j.

- Grid: 10x10 = 100 squares
- Shaded: 5 full columns → 5 × 10 = 50 squares
- Fraction: 50/100 = 1/2
- Decimal: 0.50 or 0.5

✔ Answer: 50/100 or 1/2, 0.50

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k.

- Grid: 10x10 = 100 squares
- Shaded: 8 full columns → 8 × 10 = 80 squares
- Fraction: 80/100 = 4/5
- Decimal: 0.80 or 0.8

✔ Answer: 80/100 or 4/5, 0.80

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l.

- Grid: 10 vertical bars → 10 equal parts (tenths)
- Shaded: 9 bars → 9/10
- Fraction: 9/10
- Decimal: 0.9

✔ Answer: 9/10, 0.9

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✔ Final Answers Summary:

| Letter | Fraction | Decimal |
|--------|---------------|---------|
| a. | 12/100 or 3/25 | 0.12 |
| b. | 30/100 or 3/10 | 0.30 |
| c. | 40/100 or 2/5 | 0.40 |
| d. | 1/10 | 0.1 |
| e. | 20/100 or 1/5 | 0.20 |
| f. | 70/100 or 7/10 | 0.70 |
| g. | 60/100 or 3/5 | 0.60 |
| h. | 10/100 or 1/10 | 0.10 |
| i. | 1/100 | 0.01 |
| j. | 50/100 or 1/2 | 0.50 |
| k. | 80/100 or 4/5 | 0.80 |
| l. | 9/10 | 0.9 |

> Note: For fractions, simplified forms are preferred unless specified otherwise.

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