Dividing Whole Numbers by Decimals worksheet - Free Printable

Problem: Solving Whole Numbers Divided by Decimals

The task is to solve the division problems where whole numbers are divided by decimals. The instructions specify that we should round the quotient to 3 decimal places if necessary.

#### General Approach:
1. Convert the divisor to a whole number: To simplify the division, multiply both the dividend and the divisor by a power of 10 so that the divisor becomes a whole number.
2. Perform the division: Divide the adjusted dividend by the adjusted divisor.
3. Round the result: If the quotient has more than 3 decimal places, round it to 3 decimal places.

Let's solve each problem step by step.

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Problem 1: \( 0.03 \div 558 \)

1. Adjust the divisor:
- The divisor is \( 0.03 \). To make it a whole number, multiply both the dividend and the divisor by 100.
- New problem: \( 558 \div 3 \).

2. Perform the division:
- \( 558 \div 3 = 186 \).

3. Result:
- The quotient is \( 186 \).

Answer for Problem 1: \( \boxed{186} \)

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Problem 2: \( 0.4 \div 33 \)

1. Adjust the divisor:
- The divisor is \( 0.4 \). To make it a whole number, multiply both the dividend and the divisor by 10.
- New problem: \( 33 \div 4 \).

2. Perform the division:
- \( 33 \div 4 = 8.25 \).

3. Result:
- The quotient is \( 8.25 \).

Answer for Problem 2: \( \boxed{8.25} \)

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Problem 3: \( 0.06 \div 773 \)

1. Adjust the divisor:
- The divisor is \( 0.06 \). To make it a whole number, multiply both the dividend and the divisor by 100.
- New problem: \( 773 \div 6 \).

2. Perform the division:
- \( 773 \div 6 = 128.8333\ldots \).

3. Round to 3 decimal places:
- \( 128.8333\ldots \approx 128.833 \).

Answer for Problem 3: \( \boxed{128.833} \)

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Problem 4: \( 0.08 \div 69 \)

1. Adjust the divisor:
- The divisor is \( 0.08 \). To make it a whole number, multiply both the dividend and the divisor by 100.
- New problem: \( 69 \div 8 \).

2. Perform the division:
- \( 69 \div 8 = 8.625 \).

3. Result:
- The quotient is \( 8.625 \).

Answer for Problem 4: \( \boxed{8.625} \)

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Problem 5: \( 0.8 \div 368 \)

1. Adjust the divisor:
- The divisor is \( 0.8 \). To make it a whole number, multiply both the dividend and the divisor by 10.
- New problem: \( 368 \div 8 \).

2. Perform the division:
- \( 368 \div 8 = 46 \).

3. Result:
- The quotient is \( 46 \).

Answer for Problem 5: \( \boxed{46} \)

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Problem 6: \( 0.8 \div 11 \)

1. Adjust the divisor:
- The divisor is \( 0.8 \). To make it a whole number, multiply both the dividend and the divisor by 10.
- New problem: \( 11 \div 8 \).

2. Perform the division:
- \( 11 \div 8 = 1.375 \).

3. Result:
- The quotient is \( 1.375 \).

Answer for Problem 6: \( \boxed{1.375} \)

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Problem 7: \( 0.03 \div 904 \)

1. Adjust the divisor:
- The divisor is \( 0.03 \). To make it a whole number, multiply both the dividend and the divisor by 100.
- New problem: \( 904 \div 3 \).

2. Perform the division:
- \( 904 \div 3 = 301.3333\ldots \).

3. Round to 3 decimal places:
- \( 301.3333\ldots \approx 301.333 \).

Answer for Problem 7: \( \boxed{301.333} \)

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Problem 8: \( 0.03 \div 152 \)

1. Adjust the divisor:
- The divisor is \( 0.03 \). To make it a whole number, multiply both the dividend and the divisor by 100.
- New problem: \( 152 \div 3 \).

2. Perform the division:
- \( 152 \div 3 = 50.6666\ldots \).

3. Round to 3 decimal places:
- \( 50.6666\ldots \approx 50.667 \).

Answer for Problem 8: \( \boxed{50.667} \)

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Problem 9: \( 0.5 \div 97 \)

1. Adjust the divisor:
- The divisor is \( 0.5 \). To make it a whole number, multiply both the dividend and the divisor by 10.
- New problem: \( 97 \div 5 \).

2. Perform the division:
- \( 97 \div 5 = 19.4 \).

3. Result:
- The quotient is \( 19.4 \).

Answer for Problem 9: \( \boxed{19.4} \)

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Final Answers:

1. \( \boxed{186} \)
2. \( \boxed{8.25} \)
3. \( \boxed{128.833} \)
4. \( \boxed{8.625} \)
5. \( \boxed{46} \)
6. \( \boxed{1.375} \)
7. \( \boxed{301.333} \)
8. \( \boxed{50.667} \)
9. \( \boxed{19.4} \)