Decimals: Hundredths and Tenths - Practice worksheet with shaded grids to write decimals and fractions.

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)
- Shaded: Only bottom strip → 1 out of 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 3 rows → 3 × 10 = 30 squares
- Fraction: 30/100 = 3/10
- Decimal: 0.30

✔ Answer: Fraction: 30/100 or 3/10, Decimal: 0.30

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f.

- Grid: 10x10 = 100 squares
- Shaded: 70 squares (7 full columns)
- 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 → 8 × 10 = 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 column → 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: 4 full rows → 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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j.

- Grid: 10x10 = 100 squares
- Shaded: 6 full columns → 6 × 10 = 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 columns → 60 squares
- Wait — actually, looking closely: it appears only 6 columns are shaded, but let’s confirm:
- Yes, 6 columns → 60 squares
- Fraction: 60/100 = 3/5
- Decimal: 0.60

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

> Note: This looks identical to j, possibly a duplicate or typo in design.

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l.

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

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

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✔ Final Answers:

| 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 | 30/100 | 3/10 | 0.30 |
| f | 70/100 | 7/10 | 0.70 |
| g | 80/100 | 4/5 | 0.80 |
| h | 10/100 | 1/10 | 0.10 |
| i | 40/100 | 2/5 | 0.40 |
| j | 60/100 | 3/5 | 0.60 |
| k | 60/100 | 3/5 | 0.60 |
| l | 50/100 | 1/2 | 0.50 |

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🔍 Tips:

- Always count how many total parts (usually 100) and shaded parts.
- Reduce fractions if possible.
- Remember: 100 squares = 1 whole → each square = 0.01
- Each row/column of 10 squares = 0.1 (one tenth)

Let me know if you'd like this formatted as a printable answer sheet!