Dividing Decimals by Whole Numbers Rounding (examples, solutions ... - Free Printable

Problem: Divide Decimals by Whole Numbers (Round to the Nearest Tenth)

The task involves dividing each decimal number by a whole number and rounding the result to the nearest tenth. Let's solve each problem step by step.

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#### 1. \( 5 \div 85.4 \)

- Step 1: Perform the division: \( 85.4 \div 5 \).
\[
85.4 \div 5 = 17.08
\]
- Step 2: Round to the nearest tenth.
- The digit in the tenths place is 0.
- The digit in the hundredths place is 8, which is greater than or equal to 5, so we round up.
- Therefore, \( 17.08 \) rounded to the nearest tenth is \( 17.1 \).

Answer: \( 17.1 \)

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#### 2. \( 6 \div 25.2 \)

- Step 1: Perform the division: \( 25.2 \div 6 \).
\[
25.2 \div 6 = 4.2
\]
- Step 2: Round to the nearest tenth.
- The digit in the tenths place is 2.
- The digit in the hundredths place is 0, which is less than 5, so we do not round up.
- Therefore, \( 4.2 \) remains \( 4.2 \).

Answer: \( 4.2 \)

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#### 3. \( 7 \div 82.5 \)

- Step 1: Perform the division: \( 82.5 \div 7 \).
\[
82.5 \div 7 \approx 11.7857
\]
- Step 2: Round to the nearest tenth.
- The digit in the tenths place is 7.
- The digit in the hundredths place is 8, which is greater than or equal to 5, so we round up.
- Therefore, \( 11.7857 \) rounded to the nearest tenth is \( 11.8 \).

Answer: \( 11.8 \)

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#### 4. \( 2 \div 68.8 \)

- Step 1: Perform the division: \( 68.8 \div 2 \).
\[
68.8 \div 2 = 34.4
\]
- Step 2: Round to the nearest tenth.
- The digit in the tenths place is 4.
- The digit in the hundredths place is 0, which is less than 5, so we do not round up.
- Therefore, \( 34.4 \) remains \( 34.4 \).

Answer: \( 34.4 \)

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#### 5. \( 4 \div 69.3 \)

- Step 1: Perform the division: \( 69.3 \div 4 \).
\[
69.3 \div 4 = 17.325
\]
- Step 2: Round to the nearest tenth.
- The digit in the tenths place is 3.
- The digit in the hundredths place is 2, which is less than 5, so we do not round up.
- Therefore, \( 17.325 \) rounded to the nearest tenth is \( 17.3 \).

Answer: \( 17.3 \)

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#### 6. \( 5 \div 40.9 \)

- Step 1: Perform the division: \( 40.9 \div 5 \).
\[
40.9 \div 5 = 8.18
\]
- Step 2: Round to the nearest tenth.
- The digit in the tenths place is 1.
- The digit in the hundredths place is 8, which is greater than or equal to 5, so we round up.
- Therefore, \( 8.18 \) rounded to the nearest tenth is \( 8.2 \).

Answer: \( 8.2 \)

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#### 7. \( 7 \div 61.5 \)

- Step 1: Perform the division: \( 61.5 \div 7 \).
\[
61.5 \div 7 \approx 8.7857
\]
- Step 2: Round to the nearest tenth.
- The digit in the tenths place is 7.
- The digit in the hundredths place is 8, which is greater than or equal to 5, so we round up.
- Therefore, \( 8.7857 \) rounded to the nearest tenth is \( 8.8 \).

Answer: \( 8.8 \)

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#### 8. \( 2 \div 46.9 \)

- Step 1: Perform the division: \( 46.9 \div 2 \).
\[
46.9 \div 2 = 23.45
\]
- Step 2: Round to the nearest tenth.
- The digit in the tenths place is 4.
- The digit in the hundredths place is 5, which is greater than or equal to 5, so we round up.
- Therefore, \( 23.45 \) rounded to the nearest tenth is \( 23.5 \).

Answer: \( 23.5 \)

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#### 9. \( 6 \div 76.1 \)

- Step 1: Perform the division: \( 76.1 \div 6 \).
\[
76.1 \div 6 \approx 12.6833
\]
- Step 2: Round to the nearest tenth.
- The digit in the tenths place is 6.
- The digit in the hundredths place is 8, which is greater than or equal to 5, so we round up.
- Therefore, \( 12.6833 \) rounded to the nearest tenth is \( 12.7 \).

Answer: \( 12.7 \)

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Final Answers:

\[
\boxed{17.1, 4.2, 11.8, 34.4, 17.3, 8.2, 8.8, 23.5, 12.7}
\]