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Grade 5 Decimals Worksheets: Divide whole numbers by whole numbers ... - Free Printable

Grade 5 Decimals Worksheets: Divide whole numbers by whole numbers ...

Educational worksheet: Grade 5 Decimals Worksheets: Divide whole numbers by whole numbers .... Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Grade 5 Decimals Worksheets: Divide whole numbers by whole numbers ...

Problem Description:


The task involves dividing whole numbers by 1-digit whole numbers and finding the quotient. If necessary, the quotient should be rounded to three decimal places.

Solution Approach:


1. Understand the Division Process: For each problem, divide the given whole number by the 1-digit divisor.
2. Perform Long Division: Use long division to find the quotient.
3. Round if Necessary: If the quotient is not a whole number and has more than three decimal places, round it to three decimal places.

Step-by-Step Solutions:



#### Problem 1: \( 6 \div 674 \)
- Perform the division: \( 674 \div 6 \).
- Using long division:
- \( 674 \div 6 = 112.333\ldots \)
- The quotient is \( 112.333 \) (repeating). Since it already has three decimal places, no rounding is needed.
- Answer: \( 112.333 \)

#### Problem 2: \( 8 \div 75 \)
- Perform the division: \( 75 \div 8 \).
- Using long division:
- \( 75 \div 8 = 9.375 \)
- The quotient is \( 9.375 \), which has exactly three decimal places.
- Answer: \( 9.375 \)

#### Problem 3: \( 4 \div 971 \)
- Perform the division: \( 971 \div 4 \).
- Using long division:
- \( 971 \div 4 = 242.75 \)
- The quotient is \( 242.75 \), which has two decimal places. No rounding is needed.
- Answer: \( 242.750 \) (adding trailing zeros to make it three decimal places)

#### Problem 4: \( 4 \div 798 \)
- Perform the division: \( 798 \div 4 \).
- Using long division:
- \( 798 \div 4 = 199.5 \)
- The quotient is \( 199.5 \), which has one decimal place. Add trailing zeros to make it three decimal places.
- Answer: \( 199.500 \)

#### Problem 5: \( 3 \div 608 \)
- Perform the division: \( 608 \div 3 \).
- Using long division:
- \( 608 \div 3 = 202.666\ldots \)
- The quotient is \( 202.666 \) (repeating). Round to three decimal places.
- Answer: \( 202.667 \)

#### Problem 6: \( 6 \div 684 \)
- Perform the division: \( 684 \div 6 \).
- Using long division:
- \( 684 \div 6 = 114 \)
- The quotient is \( 114 \), which is a whole number.
- Answer: \( 114.000 \) (adding trailing zeros to make it three decimal places)

#### Problem 7: \( 6 \div 16 \)
- Perform the division: \( 16 \div 6 \).
- Using long division:
- \( 16 \div 6 = 2.666\ldots \)
- The quotient is \( 2.666 \) (repeating). Round to three decimal places.
- Answer: \( 2.667 \)

#### Problem 8: \( 5 \div 35 \)
- Perform the division: \( 35 \div 5 \).
- Using long division:
- \( 35 \div 5 = 7 \)
- The quotient is \( 7 \), which is a whole number.
- Answer: \( 7.000 \) (adding trailing zeros to make it three decimal places)

#### Problem 9: \( 4 \div 79 \)
- Perform the division: \( 79 \div 4 \).
- Using long division:
- \( 79 \div 4 = 19.75 \)
- The quotient is \( 19.75 \), which has two decimal places. Add trailing zeros to make it three decimal places.
- Answer: \( 19.750 \)

Final Answers:


1. \( 112.333 \)
2. \( 9.375 \)
3. \( 242.750 \)
4. \( 199.500 \)
5. \( 202.667 \)
6. \( 114.000 \)
7. \( 2.667 \)
8. \( 7.000 \)
9. \( 19.750 \)

Boxed Final Answer:


\[
\boxed{112.333, 9.375, 242.750, 199.500, 202.667, 114.000, 2.667, 7.000, 19.750}
\]
Parent Tip: Review the logic above to help your child master the concept of dividing multi digit numbers worksheet.
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