Decimals Worksheet-4 - skoolon.com - Free Printable

Let's solve each problem step by step from the worksheet.

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1. Write the decimal and the fraction of each shaded part. Also, write the number names.

We'll analyze each figure:

#### a.
- The grid is 10 × 10 = 100 small squares.
- Shaded squares: Count them carefully.
- First column (leftmost): 10 shaded
- Second column: 5 shaded
- Total shaded = 10 + 5 = 15 squares
- So:
- Fraction = $ \frac{15}{100} $
- Decimal = 0.15
- Number name: Fifteen hundredths

#### b.
- This is a rectangle divided into 10 equal vertical strips.
- Shaded: 4 strips
- So:
- Fraction = $ \frac{4}{10} $
- Decimal = 0.4
- Number name: Four tenths

#### c.
- Again, 10×10 grid = 100 squares.
- Shaded: First 3 columns fully shaded = 30 squares
- Plus 6 more in the fourth column → total = 30 + 6 = 36 squares
- So:
- Fraction = $ \frac{36}{100} $
- Decimal = 0.36
- Number name: Thirty-six hundredths

#### d.
- Rectangle divided into 10 horizontal strips.
- Only the bottom strip is shaded → 1 out of 10
- So:
- Fraction = $ \frac{1}{10} $
- Decimal = 0.1
- Number name: One tenth

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2. Write in the expanded form.

#### i) 22.567
Break it down by place value:
- 2 tens = 20
- 2 ones = 2
- 5 tenths = 0.5
- 6 hundredths = 0.06
- 7 thousandths = 0.007

So,
> 22.567 = 20 + 2 + 0.5 + 0.06 + 0.007

Or written as:
> $ 2 \times 10 + 2 \times 1 + 5 \times \frac{1}{10} + 6 \times \frac{1}{100} + 7 \times \frac{1}{1000} $

#### ii) 4.709
- 4 ones = 4
- 7 tenths = 0.7
- 0 hundredths = 0.00
- 9 thousandths = 0.009

So,
> 4.709 = 4 + 0.7 + 0.00 + 0.009

Or:
> $ 4 \times 1 + 7 \times \frac{1}{10} + 0 \times \frac{1}{100} + 9 \times \frac{1}{1000} $

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3. Write the decimal number for the following.

This seems to be asking for word forms, but since it says "write the decimal number", perhaps it's asking for how to read these numbers.

But based on context, likely it wants number names (in words).

#### i) 26.57
- 26 = twenty-six
- .57 = fifty-seven hundredths
- So: Twenty-six and fifty-seven hundredths

#### ii) 32.789
- 32 = thirty-two
- .789 = seven hundred eighty-nine thousandths
- So: Thirty-two and seven hundred eighty-nine thousandths

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4. Change into like decimals.

"Like decimals" means all numbers have the same number of decimal places.

#### i) 11.95, 11.9, 12.076

We need to make all numbers have three decimal places (since 12.076 has 3):

- 11.95 → 11.950
- 11.9 → 11.900
- 12.076 → already has 3 digits

So:
> 11.950, 11.900, 12.076

#### ii) 10.07, 30.4, 21.3

Max decimal places here is 2 (from 10.07), so we make all have two decimal places:

- 10.07 → 10.07
- 30.4 → 30.40
- 21.3 → 21.30

So:
> 10.07, 30.40, 21.30

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✔ Final Answers:

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#### 1. Shaded Parts

| Part | Decimal | Fraction | Number Name |
|------|--------|----------|-------------|
| a. | 0.15 | $ \frac{15}{100} $ | Fifteen hundredths |
| b. | 0.4 | $ \frac{4}{10} $ | Four tenths |
| c. | 0.36 | $ \frac{36}{100} $ | Thirty-six hundredths |
| d. | 0.1 | $ \frac{1}{10} $ | One tenth |

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#### 2. Expanded Form

i) $ 22.567 = 20 + 2 + 0.5 + 0.06 + 0.007 $
or
$ 2 \times 10 + 2 \times 1 + 5 \times \frac{1}{10} + 6 \times \frac{1}{100} + 7 \times \frac{1}{1000} $

ii) $ 4.709 = 4 + 0.7 + 0.00 + 0.009 $
or
$ 4 \times 1 + 7 \times \frac{1}{10} + 0 \times \frac{1}{100} + 9 \times \frac{1}{1000} $

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#### 3. Decimal Number Names

i) Twenty-six and fifty-seven hundredths
ii) Thirty-two and seven hundred eighty-nine thousandths

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#### 4. Like Decimals

i) 11.950, 11.900, 12.076
ii) 10.07, 30.40, 21.30

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