Dividing Decimals by Various Decimals with Various Sizes of ... - Free Printable
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Step-by-step solution for: Dividing Decimals by Various Decimals with Various Sizes of ...
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Show Answer Key & Explanations
Step-by-step solution for: Dividing Decimals by Various Decimals with Various Sizes of ...
To solve the problems involving 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.
2. Move the decimal point in the dividend: Move the decimal point in the dividend the same number of places to the right as you did for the divisor.
3. Perform the division: Divide the adjusted numbers as if they were whole numbers.
4. Place the decimal point in the quotient: The decimal point in the quotient will be directly above the decimal point in the adjusted 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: \( 0.58 \rightarrow 58 \)
- Dividend: \( 0.5568 \rightarrow 55.68 \)
- Perform the division: \( 55.68 \div 58 \)
- \( 55.68 \div 58 = 0.96 \)
Answer: \( 0.96 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.2 \rightarrow 2 \)
- Dividend: \( 0.12 \rightarrow 1.2 \)
- Perform the division: \( 1.2 \div 2 \)
- \( 1.2 \div 2 = 0.6 \)
Answer: \( 0.6 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.7 \rightarrow 7 \)
- Dividend: \( 0.1995 \rightarrow 1.995 \)
- Perform the division: \( 1.995 \div 7 \)
- \( 1.995 \div 7 = 0.285 \)
Answer: \( 0.285 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 1.5 \rightarrow 15 \)
- Dividend: \( 1.2 \rightarrow 12 \)
- Perform the division: \( 12 \div 15 \)
- \( 12 \div 15 = 0.8 \)
Answer: \( 0.8 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.1 \rightarrow 1 \)
- Dividend: \( 0.0805 \rightarrow 0.805 \)
- Perform the division: \( 0.805 \div 1 \)
- \( 0.805 \div 1 = 0.805 \)
Answer: \( 0.805 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.6 \rightarrow 6 \)
- Dividend: \( 1.452 \rightarrow 14.52 \)
- Perform the division: \( 14.52 \div 6 \)
- \( 14.52 \div 6 = 2.42 \)
Answer: \( 2.42 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.5 \rightarrow 5 \)
- Dividend: \( 0.05 \rightarrow 0.5 \)
- Perform the division: \( 0.5 \div 5 \)
- \( 0.5 \div 5 = 0.1 \)
Answer: \( 0.1 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 3.64 \rightarrow 364 \)
- Dividend: \( 28.5376 \rightarrow 2853.76 \)
- Perform the division: \( 2853.76 \div 364 \)
- \( 2853.76 \div 364 = 7.84 \)
Answer: \( 7.84 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 1.92 \rightarrow 192 \)
- Dividend: \( 1.152 \rightarrow 115.2 \)
- Perform the division: \( 115.2 \div 192 \)
- \( 115.2 \div 192 = 0.6 \)
Answer: \( 0.6 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.3 \rightarrow 3 \)
- Dividend: \( 0.24 \rightarrow 2.4 \)
- Perform the division: \( 2.4 \div 3 \)
- \( 2.4 \div 3 = 0.8 \)
Answer: \( 0.8 \)
---
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.9 \rightarrow 9 \)
- Dividend: \( 0.801 \rightarrow 8.01 \)
- Perform the division: \( 8.01 \div 9 \)
- \( 8.01 \div 9 = 0.89 \)
Answer: \( 0.89 \)
---
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.59 \rightarrow 59 \)
- Dividend: \( 0.295 \rightarrow 29.5 \)
- Perform the division: \( 29.5 \div 59 \)
- \( 29.5 \div 59 = 0.5 \)
Answer: \( 0.5 \)
---
\[
\boxed{
\begin{array}{cccc}
0.96 & 0.6 & 0.285 & 0.8 \\
0.805 & 2.42 & 0.1 & 7.84 \\
0.6 & 0.8 & 0.89 & 0.5
\end{array}
}
\]
1. Adjust the divisor to a whole number: Move the decimal point in the divisor to the right until it becomes a whole number.
2. Move the decimal point in the dividend: Move the decimal point in the dividend the same number of places to the right as you did for the divisor.
3. Perform the division: Divide the adjusted numbers as if they were whole numbers.
4. Place the decimal point in the quotient: The decimal point in the quotient will be directly above the decimal point in the adjusted dividend.
Let's solve each problem step by step:
---
1. \( 0.58 \div 0.5568 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.58 \rightarrow 58 \)
- Dividend: \( 0.5568 \rightarrow 55.68 \)
- Perform the division: \( 55.68 \div 58 \)
- \( 55.68 \div 58 = 0.96 \)
Answer: \( 0.96 \)
---
2. \( 0.2 \div 0.12 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.2 \rightarrow 2 \)
- Dividend: \( 0.12 \rightarrow 1.2 \)
- Perform the division: \( 1.2 \div 2 \)
- \( 1.2 \div 2 = 0.6 \)
Answer: \( 0.6 \)
---
3. \( 0.7 \div 0.1995 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.7 \rightarrow 7 \)
- Dividend: \( 0.1995 \rightarrow 1.995 \)
- Perform the division: \( 1.995 \div 7 \)
- \( 1.995 \div 7 = 0.285 \)
Answer: \( 0.285 \)
---
4. \( 1.5 \div 1.2 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 1.5 \rightarrow 15 \)
- Dividend: \( 1.2 \rightarrow 12 \)
- Perform the division: \( 12 \div 15 \)
- \( 12 \div 15 = 0.8 \)
Answer: \( 0.8 \)
---
5. \( 0.1 \div 0.0805 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.1 \rightarrow 1 \)
- Dividend: \( 0.0805 \rightarrow 0.805 \)
- Perform the division: \( 0.805 \div 1 \)
- \( 0.805 \div 1 = 0.805 \)
Answer: \( 0.805 \)
---
6. \( 0.6 \div 1.452 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.6 \rightarrow 6 \)
- Dividend: \( 1.452 \rightarrow 14.52 \)
- Perform the division: \( 14.52 \div 6 \)
- \( 14.52 \div 6 = 2.42 \)
Answer: \( 2.42 \)
---
7. \( 0.5 \div 0.05 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.5 \rightarrow 5 \)
- Dividend: \( 0.05 \rightarrow 0.5 \)
- Perform the division: \( 0.5 \div 5 \)
- \( 0.5 \div 5 = 0.1 \)
Answer: \( 0.1 \)
---
8. \( 3.64 \div 28.5376 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 3.64 \rightarrow 364 \)
- Dividend: \( 28.5376 \rightarrow 2853.76 \)
- Perform the division: \( 2853.76 \div 364 \)
- \( 2853.76 \div 364 = 7.84 \)
Answer: \( 7.84 \)
---
9. \( 1.92 \div 1.152 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 1.92 \rightarrow 192 \)
- Dividend: \( 1.152 \rightarrow 115.2 \)
- Perform the division: \( 115.2 \div 192 \)
- \( 115.2 \div 192 = 0.6 \)
Answer: \( 0.6 \)
---
10. \( 0.3 \div 0.24 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.3 \rightarrow 3 \)
- Dividend: \( 0.24 \rightarrow 2.4 \)
- Perform the division: \( 2.4 \div 3 \)
- \( 2.4 \div 3 = 0.8 \)
Answer: \( 0.8 \)
---
11. \( 0.9 \div 0.801 \)
- Adjust the divisor: Move the decimal point 1 place to the right in both the divisor and the dividend.
- Divisor: \( 0.9 \rightarrow 9 \)
- Dividend: \( 0.801 \rightarrow 8.01 \)
- Perform the division: \( 8.01 \div 9 \)
- \( 8.01 \div 9 = 0.89 \)
Answer: \( 0.89 \)
---
12. \( 0.59 \div 0.295 \)
- Adjust the divisor: Move the decimal point 2 places to the right in both the divisor and the dividend.
- Divisor: \( 0.59 \rightarrow 59 \)
- Dividend: \( 0.295 \rightarrow 29.5 \)
- Perform the division: \( 29.5 \div 59 \)
- \( 29.5 \div 59 = 0.5 \)
Answer: \( 0.5 \)
---
Final Answers:
\[
\boxed{
\begin{array}{cccc}
0.96 & 0.6 & 0.285 & 0.8 \\
0.805 & 2.42 & 0.1 & 7.84 \\
0.6 & 0.8 & 0.89 & 0.5
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of decimal division printables.
![Free Printable Dividing Decimals Worksheet [PDF] Brighterly.com](/images2/decimal-division-printables/decimal-division-printables-22.jpg)
