Division with Decimals Worksheets - K12 Math Worksheets - Free Printable
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Step-by-step solution for: Division with Decimals Worksheets - K12 Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Division with Decimals Worksheets - K12 Math Worksheets
To solve the problems of dividing decimals, we need to follow these steps:
1. Adjust the divisor to a whole number: Move the decimal point in the divisor to the right until it becomes a whole number. Move the decimal point in the dividend the same number of places to the right.
2. Perform the division: Divide the adjusted numbers as you would with whole numbers.
3. Place the decimal point in the quotient: The decimal point in the quotient will be directly above the decimal point in the dividend.
Let's solve each problem step by step.
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.60 \rightarrow 60 \)
- Dividend: \( 5.71 \rightarrow 571 \)
- Perform the division: \( 571 \div 60 \)
- \( 571 \div 60 = 9.5166\ldots \approx 9.52 \)
Answer: \( 9.52 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.44 \rightarrow 44 \)
- Dividend: \( 15.8 \rightarrow 1580 \)
- Perform the division: \( 1580 \div 44 \)
- \( 1580 \div 44 = 35.9090\ldots \approx 35.91 \)
Answer: \( 35.91 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.76 \rightarrow 76 \)
- Dividend: \( 6.13 \rightarrow 613 \)
- Perform the division: \( 613 \div 76 \)
- \( 613 \div 76 = 8.0657\ldots \approx 8.07 \)
Answer: \( 8.07 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 3.0 \rightarrow 30 \)
- Dividend: \( 7.73 \rightarrow 77.3 \)
- Perform the division: \( 77.3 \div 30 \)
- \( 77.3 \div 30 = 2.5766\ldots \approx 2.58 \)
Answer: \( 2.58 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.48 \rightarrow 48 \)
- Dividend: \( 0.66 \rightarrow 66 \)
- Perform the division: \( 66 \div 48 \)
- \( 66 \div 48 = 1.375 \)
Answer: \( 1.38 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.29 \rightarrow 29 \)
- Dividend: \( 29.7 \rightarrow 2970 \)
- Perform the division: \( 2970 \div 29 \)
- \( 2970 \div 29 = 102.4137\ldots \approx 102.41 \)
Answer: \( 102.41 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 4.9 \rightarrow 49 \)
- Dividend: \( 68.2 \rightarrow 682 \)
- Perform the division: \( 682 \div 49 \)
- \( 682 \div 49 = 13.9183\ldots \approx 13.92 \)
Answer: \( 13.92 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 9.0 \rightarrow 900 \)
- Dividend: \( 8.04 \rightarrow 804 \)
- Perform the division: \( 804 \div 900 \)
- \( 804 \div 900 = 0.8933\ldots \approx 0.89 \)
Answer: \( 0.89 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 3.2 \rightarrow 32 \)
- Dividend: \( 5.76 \rightarrow 57.6 \)
- Perform the division: \( 57.6 \div 32 \)
- \( 57.6 \div 32 = 1.8 \)
Answer: \( 1.80 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.62 \rightarrow 62 \)
- Dividend: \( 38.1 \rightarrow 3810 \)
- Perform the division: \( 3810 \div 62 \)
- \( 3810 \div 62 = 61.4516\ldots \approx 61.45 \)
Answer: \( 61.45 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.04 \rightarrow 4 \)
- Dividend: \( 76.7 \rightarrow 7670 \)
- Perform the division: \( 7670 \div 4 \)
- \( 7670 \div 4 = 1917.5 \)
Answer: \( 1917.50 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 1.1 \rightarrow 110 \)
- Dividend: \( 0.83 \rightarrow 83 \)
- Perform the division: \( 83 \div 110 \)
- \( 83 \div 110 = 0.7545\ldots \approx 0.75 \)
Answer: \( 0.75 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.51 \rightarrow 51 \)
- Dividend: \( 97.9 \rightarrow 9790 \)
- Perform the division: \( 9790 \div 51 \)
- \( 9790 \div 51 = 191.9607\ldots \approx 191.96 \)
Answer: \( 191.96 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.91 \rightarrow 91 \)
- Dividend: \( 46.3 \rightarrow 4630 \)
- Perform the division: \( 4630 \div 91 \)
- \( 4630 \div 91 = 50.8791\ldots \approx 50.88 \)
Answer: \( 50.88 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.28 \rightarrow 28 \)
- Dividend: \( 95.5 \rightarrow 9550 \)
- Perform the division: \( 9550 \div 28 \)
- \( 9550 \div 28 = 341.0714\ldots \approx 341.07 \)
Answer: \( 341.07 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.80 \rightarrow 80 \)
- Dividend: \( 37.7 \rightarrow 3770 \)
- Perform the division: \( 3770 \div 80 \)
- \( 3770 \div 80 = 47.125 \)
Answer: \( 47.13 \)
---
\[
\boxed{
\begin{array}{ll}
1) & 9.52 \\
2) & 35.91 \\
3) & 8.07 \\
4) & 2.58 \\
5) & 1.38 \\
6) & 102.41 \\
7) & 13.92 \\
8) & 0.89 \\
9) & 1.80 \\
10) & 61.45 \\
11) & 1917.50 \\
12) & 0.75 \\
13) & 191.96 \\
14) & 50.88 \\
15) & 341.07 \\
16) & 47.13 \\
\end{array}
}
\]
1. Adjust the divisor to a whole number: Move the decimal point in the divisor to the right until it becomes a whole number. Move the decimal point in the dividend the same number of places to the right.
2. Perform the division: Divide the adjusted numbers as you would with whole numbers.
3. Place the decimal point in the quotient: The decimal point in the quotient will be directly above the decimal point in the dividend.
Let's solve each problem step by step.
---
Problem 1: \( 0.60 \div 5.71 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.60 \rightarrow 60 \)
- Dividend: \( 5.71 \rightarrow 571 \)
- Perform the division: \( 571 \div 60 \)
- \( 571 \div 60 = 9.5166\ldots \approx 9.52 \)
Answer: \( 9.52 \)
---
Problem 2: \( 0.44 \div 15.8 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.44 \rightarrow 44 \)
- Dividend: \( 15.8 \rightarrow 1580 \)
- Perform the division: \( 1580 \div 44 \)
- \( 1580 \div 44 = 35.9090\ldots \approx 35.91 \)
Answer: \( 35.91 \)
---
Problem 3: \( 0.76 \div 6.13 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.76 \rightarrow 76 \)
- Dividend: \( 6.13 \rightarrow 613 \)
- Perform the division: \( 613 \div 76 \)
- \( 613 \div 76 = 8.0657\ldots \approx 8.07 \)
Answer: \( 8.07 \)
---
Problem 4: \( 3.0 \div 7.73 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 3.0 \rightarrow 30 \)
- Dividend: \( 7.73 \rightarrow 77.3 \)
- Perform the division: \( 77.3 \div 30 \)
- \( 77.3 \div 30 = 2.5766\ldots \approx 2.58 \)
Answer: \( 2.58 \)
---
Problem 5: \( 0.48 \div 0.66 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.48 \rightarrow 48 \)
- Dividend: \( 0.66 \rightarrow 66 \)
- Perform the division: \( 66 \div 48 \)
- \( 66 \div 48 = 1.375 \)
Answer: \( 1.38 \)
---
Problem 6: \( 0.29 \div 29.7 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.29 \rightarrow 29 \)
- Dividend: \( 29.7 \rightarrow 2970 \)
- Perform the division: \( 2970 \div 29 \)
- \( 2970 \div 29 = 102.4137\ldots \approx 102.41 \)
Answer: \( 102.41 \)
---
Problem 7: \( 4.9 \div 68.2 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 4.9 \rightarrow 49 \)
- Dividend: \( 68.2 \rightarrow 682 \)
- Perform the division: \( 682 \div 49 \)
- \( 682 \div 49 = 13.9183\ldots \approx 13.92 \)
Answer: \( 13.92 \)
---
Problem 8: \( 9.0 \div 8.04 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 9.0 \rightarrow 900 \)
- Dividend: \( 8.04 \rightarrow 804 \)
- Perform the division: \( 804 \div 900 \)
- \( 804 \div 900 = 0.8933\ldots \approx 0.89 \)
Answer: \( 0.89 \)
---
Problem 9: \( 3.2 \div 5.76 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 3.2 \rightarrow 32 \)
- Dividend: \( 5.76 \rightarrow 57.6 \)
- Perform the division: \( 57.6 \div 32 \)
- \( 57.6 \div 32 = 1.8 \)
Answer: \( 1.80 \)
---
Problem 10: \( 0.62 \div 38.1 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.62 \rightarrow 62 \)
- Dividend: \( 38.1 \rightarrow 3810 \)
- Perform the division: \( 3810 \div 62 \)
- \( 3810 \div 62 = 61.4516\ldots \approx 61.45 \)
Answer: \( 61.45 \)
---
Problem 11: \( 0.04 \div 76.7 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.04 \rightarrow 4 \)
- Dividend: \( 76.7 \rightarrow 7670 \)
- Perform the division: \( 7670 \div 4 \)
- \( 7670 \div 4 = 1917.5 \)
Answer: \( 1917.50 \)
---
Problem 12: \( 1.1 \div 0.83 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 1.1 \rightarrow 110 \)
- Dividend: \( 0.83 \rightarrow 83 \)
- Perform the division: \( 83 \div 110 \)
- \( 83 \div 110 = 0.7545\ldots \approx 0.75 \)
Answer: \( 0.75 \)
---
Problem 13: \( 0.51 \div 97.9 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.51 \rightarrow 51 \)
- Dividend: \( 97.9 \rightarrow 9790 \)
- Perform the division: \( 9790 \div 51 \)
- \( 9790 \div 51 = 191.9607\ldots \approx 191.96 \)
Answer: \( 191.96 \)
---
Problem 14: \( 0.91 \div 46.3 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.91 \rightarrow 91 \)
- Dividend: \( 46.3 \rightarrow 4630 \)
- Perform the division: \( 4630 \div 91 \)
- \( 4630 \div 91 = 50.8791\ldots \approx 50.88 \)
Answer: \( 50.88 \)
---
Problem 15: \( 0.28 \div 95.5 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.28 \rightarrow 28 \)
- Dividend: \( 95.5 \rightarrow 9550 \)
- Perform the division: \( 9550 \div 28 \)
- \( 9550 \div 28 = 341.0714\ldots \approx 341.07 \)
Answer: \( 341.07 \)
---
Problem 16: \( 0.80 \div 37.7 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.80 \rightarrow 80 \)
- Dividend: \( 37.7 \rightarrow 3770 \)
- Perform the division: \( 3770 \div 80 \)
- \( 3770 \div 80 = 47.125 \)
Answer: \( 47.13 \)
---
Final Answers
\[
\boxed{
\begin{array}{ll}
1) & 9.52 \\
2) & 35.91 \\
3) & 8.07 \\
4) & 2.58 \\
5) & 1.38 \\
6) & 102.41 \\
7) & 13.92 \\
8) & 0.89 \\
9) & 1.80 \\
10) & 61.45 \\
11) & 1917.50 \\
12) & 0.75 \\
13) & 191.96 \\
14) & 50.88 \\
15) & 341.07 \\
16) & 47.13 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of divide decimal by decimal worksheet.
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