Decimals: Hundredths and Tenths - Write the decimal and fraction for each shaded part.

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: Fraction: 12/100 or 3/25, Decimal: 0.12

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b.

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

✔ Answer: Fraction: 40/100 or 2/5, Decimal: 0.40

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c.

- Grid: 10x10 = 100 squares
- Shaded: 3 full columns (30) + 6 more squares → 36 squares
- Fraction: 36/100 = 9/25
- Decimal: 0.36

✔ Answer: Fraction: 36/100 or 9/25, Decimal: 0.36

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d.

- Grid: 10 horizontal strips → each strip = 1/10 of the whole
- Shaded: Bottom strip only → 1/10
- Fraction: 1/10
- Decimal: 0.10

✔ Answer: Fraction: 1/10, Decimal: 0.10

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e.

- Grid: 10x10 = 100 squares
- Shaded: Top-left 5x5 block? Wait — actually, it looks like yellow shading covers first 5 full rows, so 50 squares
- Fraction: 50/100 = 1/2
- Decimal: 0.50

✔ Answer: Fraction: 50/100 or 1/2, Decimal: 0.50

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f.

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

✔ Answer: Fraction: 70/100 or 7/10, Decimal: 0.70

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g.

- Grid: 10x10 = 100 squares
- Shaded: 8 full rows → 80 squares
- Fraction: 80/100 = 4/5
- Decimal: 0.80

✔ Answer: Fraction: 80/100 or 4/5, Decimal: 0.80

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h.

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

✔ Answer: Fraction: 10/100 or 1/10, Decimal: 0.10

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i.

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

✔ Answer: Fraction: 1/100, Decimal: 0.01

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j.

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

✔ Answer: Fraction: 60/100 or 3/5, Decimal: 0.60

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k.

- Grid: 10x10 = 100 squares
- Shaded: 6 full rows → 60 squares
- Fraction: 60/100 = 3/5
- Decimal: 0.60

✔ Answer: Fraction: 60/100 or 3/5, Decimal: 0.60

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l.

- Grid: 10x10 = 100 squares
- Shaded: 9 full columns → 90 squares
- Fraction: 90/100 = 9/10
- Decimal: 0.90

✔ Answer: Fraction: 90/100 or 9/10, Decimal: 0.90

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✔ Final Answers Summary:

| Letter | Fraction | Simplified Fraction | Decimal |
|--------|---------------|---------------------|---------|
| a | 12/100 | 3/25 | 0.12 |
| b | 40/100 | 2/5 | 0.40 |
| c | 36/100 | 9/25 | 0.36 |
| d | 1/10 | 1/10 | 0.10 |
| e | 50/100 | 1/2 | 0.50 |
| f | 70/100 | 7/10 | 0.70 |
| g | 80/100 | 4/5 | 0.80 |
| h | 10/100 | 1/10 | 0.10 |
| i | 1/100 | 1/100 | 0.01 |
| j | 60/100 | 3/5 | 0.60 |
| k | 60/100 | 3/5 | 0.60 |
| l | 90/100 | 9/10 | 0.90 |

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📝 Notes:

- Always check if fractions can be simplified.
- Remember: 100 squares = 1 whole → each square = 0.01
- 10 squares = 0.10 = 1/10
- Use these rules to double-check your answers.

Let me know if you'd like this printed as a filled-in worksheet!