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)
- Shaded: Only the 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-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) → 1 column
- 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: Entire first row → 10 squares
- Fraction: 10/100 = 1/10
- Decimal: 0.10

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

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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 columns → 60 squares
- Wait — check image: appears to be 6 full columns, same as j?
- But color is brown, maybe different?

Wait — looking closely: if it's 6 columns → 60 squares → 0.60

But let me double-check: yes, 6 columns = 60 squares.

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

(If the shading is different, but based on standard interpretation, it’s 6 columns.)

Wait — actually, k might have only 60 squares shaded? Yes.

But let’s compare with j — both seem similar.

Alternatively, perhaps k is 6 rows? No — seems like columns.

Assuming 6 columns → 60 squares.

So same as j.

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

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l.

- 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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Wait — now I notice: j and k both look like 60 and 60? But colors differ.

Let’s recheck carefully:

Actually, k may be 6 rows? Or 6 columns?

But in most such worksheets, vertical strips are columns.

But in k, it's shaded in brown, and spans 6 full columns from left → 60 squares.

Similarly, j is blue, also 6 columns → 60.

But l is purple, 7 columns → 70.

Wait — but j and k are different?

Wait — no, j and k may be different.

Wait — actually, j is blue, and appears to be 6 columns.

k is brown, and appears to be 6 columns too?

Wait — maybe not. Let’s look at k again.

Wait — k has 6 columns shaded? Or only 6 rows?

No — in k, it looks like 6 full columns shaded → 60 squares.

But wait — perhaps k is 6 rows?

No — if it’s 6 rows, that would be 60 squares too.

But rows vs columns don’t matter — 60 squares = 60/100.

So regardless, 60 squares = 0.60.

But let’s confirm:

- j: Blue, 6 columns → 60 squares → 0.60
- k: Brown, 6 columns → 60 squares → 0.60
- l: Purple, 7 columns → 70 squares → 0.70

Yes, that matches.

But wait — l has 7 vertical bars, so 7 columns → 70 squares → 0.70

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Final Answers:

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

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✔ Summary:

You should write for each:

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

> Note: Simplified fractions are preferred, but both forms are acceptable unless specified.

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