Multiplying Decimals by Whole Number worksheet - Free Printable
Educational worksheet: Multiplying Decimals by Whole Number worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Multiplying Decimals by Whole Number worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying Decimals by Whole Number worksheet
Problem: Multiply Various Decimals by 1-Digit Whole Numbers
The task is to calculate the product of each decimal number and its corresponding 1-digit whole number. Let's solve each multiplication step by step.
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#### First Row:
1. 0.60 × 5
- Multiply as if they are whole numbers: \( 60 \times 5 = 300 \).
- The original number \( 0.60 \) has 2 decimal places.
- Place the decimal point in the result so that it has 2 decimal places: \( 3.00 \).
- Answer: \( 3.00 \).
2. 0.186 × 8
- Multiply as if they are whole numbers: \( 186 \times 8 = 1488 \).
- The original number \( 0.186 \) has 3 decimal places.
- Place the decimal point in the result so that it has 3 decimal places: \( 1.488 \).
- Answer: \( 1.488 \).
3. 0.075 × 2
- Multiply as if they are whole numbers: \( 75 \times 2 = 150 \).
- The original number \( 0.075 \) has 3 decimal places.
- Place the decimal point in the result so that it has 3 decimal places: \( 0.150 \).
- Answer: \( 0.150 \).
4. 6.4 × 3
- Multiply as if they are whole numbers: \( 64 \times 3 = 192 \).
- The original number \( 6.4 \) has 1 decimal place.
- Place the decimal point in the result so that it has 1 decimal place: \( 19.2 \).
- Answer: \( 19.2 \).
5. 0.660 × 9
- Multiply as if they are whole numbers: \( 660 \times 9 = 5940 \).
- The original number \( 0.660 \) has 3 decimal places.
- Place the decimal point in the result so that it has 3 decimal places: \( 5.940 \).
- Answer: \( 5.940 \).
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#### Second Row:
6. 5.1 × 6
- Multiply as if they are whole numbers: \( 51 \times 6 = 306 \).
- The original number \( 5.1 \) has 1 decimal place.
- Place the decimal point in the result so that it has 1 decimal place: \( 30.6 \).
- Answer: \( 30.6 \).
7. 94.3 × 8
- Multiply as if they are whole numbers: \( 943 \times 8 = 7544 \).
- The original number \( 94.3 \) has 1 decimal place.
- Place the decimal point in the result so that it has 1 decimal place: \( 754.4 \).
- Answer: \( 754.4 \).
8. 6.8 × 5
- Multiply as if they are whole numbers: \( 68 \times 5 = 340 \).
- The original number \( 6.8 \) has 1 decimal place.
- Place the decimal point in the result so that it has 1 decimal place: \( 34.0 \).
- Answer: \( 34.0 \).
9. 2.59 × 2
- Multiply as if they are whole numbers: \( 259 \times 2 = 518 \).
- The original number \( 2.59 \) has 2 decimal places.
- Place the decimal point in the result so that it has 2 decimal places: \( 5.18 \).
- Answer: \( 5.18 \).
10. 0.80 × 7
- Multiply as if they are whole numbers: \( 80 \times 7 = 560 \).
- The original number \( 0.80 \) has 2 decimal places.
- Place the decimal point in the result so that it has 2 decimal places: \( 5.60 \).
- Answer: \( 5.60 \).
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#### Third Row:
11. 0.15 × 4
- Multiply as if they are whole numbers: \( 15 \times 4 = 60 \).
- The original number \( 0.15 \) has 2 decimal places.
- Place the decimal point in the result so that it has 2 decimal places: \( 0.60 \).
- Answer: \( 0.60 \).
12. 8.7 × 5
- Multiply as if they are whole numbers: \( 87 \times 5 = 435 \).
- The original number \( 8.7 \) has 1 decimal place.
- Place the decimal point in the result so that it has 1 decimal place: \( 43.5 \).
- Answer: \( 43.5 \).
13. 0.42 × 3
- Multiply as if they are whole numbers: \( 42 \times 3 = 126 \).
- The original number \( 0.42 \) has 2 decimal places.
- Place the decimal point in the result so that it has 2 decimal places: \( 0.126 \).
- Answer: \( 0.126 \).
14. 71.8 × 6
- Multiply as if they are whole numbers: \( 718 \times 6 = 4308 \).
- The original number \( 71.8 \) has 1 decimal place.
- Place the decimal point in the result so that it has 1 decimal place: \( 430.8 \).
- Answer: \( 430.8 \).
15. 0.558 × 8
- Multiply as if they are whole numbers: \( 558 \times 8 = 4464 \).
- The original number \( 0.558 \) has 3 decimal places.
- Place the decimal point in the result so that it has 3 decimal places: \( 4.464 \).
- Answer: \( 4.464 \).
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Final Answers:
\[
\begin{array}{ccccc}
3.00 & 1.488 & 0.150 & 19.2 & 5.940 \\
30.6 & 754.4 & 34.0 & 5.18 & 5.60 \\
0.60 & 43.5 & 0.126 & 430.8 & 4.464 \\
\end{array}
\]
\boxed{
\begin{array}{ccccc}
3.00 & 1.488 & 0.150 & 19.2 & 5.940 \\
30.6 & 754.4 & 34.0 & 5.18 & 5.60 \\
0.60 & 43.5 & 0.126 & 430.8 & 4.464 \\
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals and whole numbers worksheet.