Decimal Place Value Worksheets 4th Grade - Free Printable

Let's solve each problem step by step:

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1. \( 6 + 0.8 = \)

- Add the whole number and the decimal:
\[
6 + 0.8 = 6.8
\]
- Answer: \( 6.8 \)

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2. What is the value of the digit 4 in the number 825.47?

- The digit 4 is in the tenths place.
- The value of the digit 4 is \( 4 \times 0.1 = 0.4 \).
- Answer: \( 0.4 \)

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3. \( 5 + 0.3 + 0.06 = \)

- Add the numbers step by step:
\[
5 + 0.3 = 5.3
\]
\[
5.3 + 0.06 = 5.36
\]
- Answer: \( 5.36 \)

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4. \( 0.27 = \_\_\_\_\_\_ \) hundredths

- The number \( 0.27 \) is already expressed in hundredths.
- Answer: \( 27 \)

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5. \( 5.3 + 1.7 = \)

- Add the numbers:
\[
5.3 + 1.7 = 7.0
\]
- Answer: \( 7.0 \)

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6. \( 0.6 + \_\_\_\_\_\_ = 1 \)

- Let the missing number be \( x \):
\[
0.6 + x = 1
\]
\[
x = 1 - 0.6 = 0.4
\]
- Answer: \( 0.4 \)

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7. \( 3.9 = 3 + \_\_\_\_\_\_ \)

- Let the missing number be \( x \):
\[
3 + x = 3.9
\]
\[
x = 3.9 - 3 = 0.9
\]
- Answer: \( 0.9 \)

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8. \( 12 + 0.4 + 0.08 = \)

- Add the numbers step by step:
\[
12 + 0.4 = 12.4
\]
\[
12.4 + 0.08 = 12.48
\]
- Answer: \( 12.48 \)

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9. \( 7.32 = 7 + \_\_\_\_\_\_ + 0.02 \)

- Let the missing number be \( x \):
\[
7 + x + 0.02 = 7.32
\]
\[
x = 7.32 - 7 - 0.02 = 0.3
\]
- Answer: \( 0.3 \)

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10. \( 1 \div 10 = \_\_\_\_\_\_ \) (decimal) or \( \_\_\_\_\_\_ \) (fraction)

- Dividing 1 by 10 gives:
\[
1 \div 10 = 0.1 \quad \text{(decimal)}
\]
\[
1 \div 10 = \frac{1}{10} \quad \text{(fraction)}
\]
- Answer: \( 0.1 \) or \( \frac{1}{10} \)

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11. Use the symbol \( >, <, \) or \( = \):

\[
8.47 \_\_\_\_\_\_ 8.24
\]
- Compare the numbers:
- Both have the same whole number part (8).
- In the tenths place, \( 4 > 2 \).
- Therefore, \( 8.47 > 8.24 \).
- Answer: \( > \)

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12. How many tenths make a whole?

- A whole is equal to 1.
- Since \( 1 = 10 \times 0.1 \), there are 10 tenths in a whole.
- Answer: \( 10 \)

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13. Which is bigger: 4 tenths or 15 hundredths?

- Convert both to decimals:
- 4 tenths = \( 4 \times 0.1 = 0.4 \)
- 15 hundredths = \( 15 \times 0.01 = 0.15 \)
- Compare:
- \( 0.4 > 0.15 \)
- Answer: 4 tenths

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14. \( 1 \div 100 = \_\_\_\_\_\_ \) (decimal) or \( \_\_\_\_\_\_ \) (fraction)

- Dividing 1 by 100 gives:
\[
1 \div 100 = 0.01 \quad \text{(decimal)}
\]
\[
1 \div 100 = \frac{1}{100} \quad \text{(fraction)}
\]
- Answer: \( 0.01 \) or \( \frac{1}{100} \)

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15. What is the value of the digit 6 in the number 793.46?

- The digit 6 is in the hundredths place.
- The value of the digit 6 is \( 6 \times 0.01 = 0.06 \).
- Answer: \( 0.06 \)

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16. \( 3 + 0.02 = \)

- Add the numbers:
\[
3 + 0.02 = 3.02
\]
- Answer: \( 3.02 \)

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17. Use the symbol \( >, <, \) or \( = \):

\[
5.06 \_\_\_\_\_\_ 5.3
\]
- Compare the numbers:
- Both have the same whole number part (5).
- In the tenths place, \( 0 < 3 \).
- Therefore, \( 5.06 < 5.3 \).
- Answer: \( < \)

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18. \( 1 - 0.4 = \)

- Subtract the numbers:
\[
1 - 0.4 = 0.6
\]
- Answer: \( 0.6 \)

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19. How many hundredths make a whole?

- A whole is equal to 1.
- Since \( 1 = 100 \times 0.01 \), there are 100 hundredths in a whole.
- Answer: \( 100 \)

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20. 35 hundredths =

- Convert 35 hundredths to a decimal:
\[
35 \times 0.01 = 0.35
\]
- Answer: \( 0.35 \)

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Final Answers:

\[
\boxed{
\begin{array}{l}
1. 6.8 \\
2. 0.4 \\
3. 5.36 \\
4. 27 \\
5. 7.0 \\
6. 0.4 \\
7. 0.9 \\
8. 12.48 \\
9. 0.3 \\
10. 0.1 \text{ or } \frac{1}{10} \\
11. > \\
12. 10 \\
13. 4 \text{ tenths} \\
14. 0.01 \text{ or } \frac{1}{100} \\
15. 0.06 \\
16. 3.02 \\
17. < \\
18. 0.6 \\
19. 100 \\
20. 0.35 \\
\end{array}
}
\]