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 squares.
- Shaded squares: Count them — there are 3 full columns (30) + 5 more in the next column → 35 squares shaded.
- So:
- Decimal: 0.35
- Fraction: $ \frac{35}{100} = \frac{7}{20} $
- Number name: Thirty-five hundredths

#### b.
- The rectangle is divided into 10 equal vertical strips.
- 4 strips are shaded.
- So:
- Decimal: 0.4
- Fraction: $ \frac{4}{10} = \frac{2}{5} $
- Number name: Four tenths

#### c.
- Again, a 10×10 grid (100 squares).
- Shaded squares: 6 full columns (60) + 5 more → 65 squares.
- So:
- Decimal: 0.65
- Fraction: $ \frac{65}{100} = \frac{13}{20} $
- Number name: Sixty-five hundredths

#### d.
- Rectangle divided into 10 horizontal parts.
- Only 1 part is shaded at the bottom.
- So:
- Decimal: 0.1
- Fraction: $ \frac{1}{10} $
- Number name: One tenth

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2. Write in the expanded form.

Expanded form means breaking down the number by place value.

#### i) 22.567
- 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 $

#### 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 simply:
$ 4.709 = 4 + 0.7 + 0.009 $

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3. Write the decimal number for the following.

This seems to be asking to write the number names or word forms of the decimals.

#### i) 26.57
- Twenty-six and fifty-seven hundredths

#### ii) 32.789
- 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
- Find the highest number of decimal places: 3 (in 12.076)
- Convert all to 3 decimal places:
- 11.95 → 11.950
- 11.9 → 11.900
- 12.076 → 12.076
- Like decimals: 11.950, 11.900, 12.076

#### ii) 10.07, 30.4, 21.3
- Highest decimal places: 2 (in 10.07)
- Convert others:
- 30.4 → 30.40
- 21.3 → 21.30
- 10.07 stays as 10.07
- Like decimals: 10.07, 30.40, 21.30

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✔ Final Answers:

#### 1.
| Figure | Decimal | Fraction | Number Name |
|--------|--------|----------|-------------|
| a. | 0.35 | $ \frac{7}{20} $ | Thirty-five hundredths |
| b. | 0.4 | $ \frac{2}{5} $ | Four tenths |
| c. | 0.65 | $ \frac{13}{20} $ | Sixty-five hundredths |
| d. | 0.1 | $ \frac{1}{10} $ | One tenth |

#### 2. Expanded Form
i) $ 22.567 = 20 + 2 + 0.5 + 0.06 + 0.007 $
ii) $ 4.709 = 4 + 0.7 + 0.009 $

#### 3. Number Names
i) Twenty-six and fifty-seven hundredths
ii) Thirty-two and seven hundred eighty-nine thousandths

#### 4. Like Decimals
i) 11.950, 11.900, 12.076
ii) 10.07, 30.40, 21.30

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