Decimal Division Worksheets - 15 Worksheets Library - Free Printable
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Step-by-step solution for: Decimal Division Worksheets - 15 Worksheets Library
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Division Worksheets - 15 Worksheets Library
Here are the solutions for the decimal division problems. I have worked through each one step-by-step to ensure accuracy.
Step-by-Step Calculations:
1) 0.28 ÷ 0.7: Move the decimal point one place to the right for both numbers to make the divisor a whole number. This becomes $2.8 \div 7$. Since $28 \div 7 = 4$, then $2.8 \div 7 = 0.4$.
2) 0.021 ÷ 0.03: Move the decimal point two places to the right. This becomes $2.1 \div 3$. Since $21 \div 3 = 7$, then $2.1 \div 3 = 0.7$.
3) 0.054 ÷ 0.9: Move the decimal point one place to the right. This becomes $0.54 \div 9$. Since $54 \div 9 = 6$, then $0.54 \div 9 = 0.06$.
4) 5.2 ÷ 1.3: Move the decimal point one place to the right. This becomes $52 \div 13$. $13 \times 4 = 52$, so the answer is 4.
5) 0.012 ÷ 0.4: Move the decimal point one place to the right. This becomes $0.12 \div 4$. Since $12 \div 4 = 3$, then $0.12 \div 4 = 0.03$.
6) 9.9 ÷ 3.3: Move the decimal point one place to the right. This becomes $99 \div 33$. $33 \times 3 = 99$, so the answer is 3.
7) 0.5 ÷ 0.05: Move the decimal point two places to the right. This becomes $50 \div 5$. The answer is 10.
8) 12.28 ÷ 0.04: Move the decimal point two places to the right. This becomes $1228 \div 4$.
- $12 \div 4 = 3$
- $2 \div 4 = 0$
- $28 \div 4 = 7$
- Result: 307.
9) 10.08 ÷ 0.3: Move the decimal point one place to the right. This becomes $100.8 \div 3$.
- $10 \div 3 = 3$ remainder 1
- $10 \div 3 = 3$ remainder 1
- $18 \div 3 = 6$
- Result: 33.6.
10) 5.5 ÷ 0.11: Move the decimal point two places to the right. This becomes $550 \div 11$. $55 \div 11 = 5$, so $550 \div 11 = 50$.
11) 0.36 ÷ 0.06: Move the decimal point two places to the right. This becomes $36 \div 6$. The answer is 6.
12) 0.72 ÷ 0.009: Move the decimal point three places to the right. This becomes $720 \div 9$. Since $72 \div 9 = 8$, then $720 \div 9 = 80$.
13) 0.405 ÷ 0.03: Move the decimal point two places to the right. This becomes $40.5 \div 3$.
- $40 \div 3 = 13$ remainder 1
- $15 \div 3 = 5$
- Result: 13.5.
14) 8.4 ÷ 2.1: Move the decimal point one place to the right. This becomes $84 \div 21$. $21 \times 4 = 84$, so the answer is 4.
15) 0.288 ÷ 3.6: Move the decimal point one place to the right. This becomes $2.88 \div 36$.
- $28 \div 36 = 0$
- $288 \div 36 = 8$
- Place the decimal: 0.08.
16) 3.9 ÷ 1.3: Move the decimal point one place to the right. This becomes $39 \div 13$. $13 \times 3 = 39$, so the answer is 3.
17) 7.005 ÷ 0.5: Move the decimal point one place to the right. This becomes $70.05 \div 5$.
- $70 \div 5 = 14$
- $0.05 \div 5 = 0.01$
- Result: 14.01.
18) 0.288 ÷ 3.6: This is the same as problem #15. The answer is 0.08.
19) 3.024 ÷ 1.2: Move the decimal point one place to the right. This becomes $30.24 \div 12$.
- $30 \div 12 = 2$ remainder 6
- $62 \div 12 = 5$ remainder 2
- $24 \div 12 = 2$
- Result: 2.52.
20) 0.056 ÷ 0.7: Move the decimal point one place to the right. This becomes $0.56 \div 7$. Since $56 \div 7 = 8$, then $0.56 \div 7 = 0.08$.
Final Answer:
1) 0.4
2) 0.7
3) 0.06
4) 4
5) 0.03
6) 3
7) 10
8) 307
9) 33.6
10) 50
11) 6
12) 80
13) 13.5
14) 4
15) 0.08
16) 3
17) 14.01
18) 0.08
19) 2.52
20) 0.08
Step-by-Step Calculations:
1) 0.28 ÷ 0.7: Move the decimal point one place to the right for both numbers to make the divisor a whole number. This becomes $2.8 \div 7$. Since $28 \div 7 = 4$, then $2.8 \div 7 = 0.4$.
2) 0.021 ÷ 0.03: Move the decimal point two places to the right. This becomes $2.1 \div 3$. Since $21 \div 3 = 7$, then $2.1 \div 3 = 0.7$.
3) 0.054 ÷ 0.9: Move the decimal point one place to the right. This becomes $0.54 \div 9$. Since $54 \div 9 = 6$, then $0.54 \div 9 = 0.06$.
4) 5.2 ÷ 1.3: Move the decimal point one place to the right. This becomes $52 \div 13$. $13 \times 4 = 52$, so the answer is 4.
5) 0.012 ÷ 0.4: Move the decimal point one place to the right. This becomes $0.12 \div 4$. Since $12 \div 4 = 3$, then $0.12 \div 4 = 0.03$.
6) 9.9 ÷ 3.3: Move the decimal point one place to the right. This becomes $99 \div 33$. $33 \times 3 = 99$, so the answer is 3.
7) 0.5 ÷ 0.05: Move the decimal point two places to the right. This becomes $50 \div 5$. The answer is 10.
8) 12.28 ÷ 0.04: Move the decimal point two places to the right. This becomes $1228 \div 4$.
- $12 \div 4 = 3$
- $2 \div 4 = 0$
- $28 \div 4 = 7$
- Result: 307.
9) 10.08 ÷ 0.3: Move the decimal point one place to the right. This becomes $100.8 \div 3$.
- $10 \div 3 = 3$ remainder 1
- $10 \div 3 = 3$ remainder 1
- $18 \div 3 = 6$
- Result: 33.6.
10) 5.5 ÷ 0.11: Move the decimal point two places to the right. This becomes $550 \div 11$. $55 \div 11 = 5$, so $550 \div 11 = 50$.
11) 0.36 ÷ 0.06: Move the decimal point two places to the right. This becomes $36 \div 6$. The answer is 6.
12) 0.72 ÷ 0.009: Move the decimal point three places to the right. This becomes $720 \div 9$. Since $72 \div 9 = 8$, then $720 \div 9 = 80$.
13) 0.405 ÷ 0.03: Move the decimal point two places to the right. This becomes $40.5 \div 3$.
- $40 \div 3 = 13$ remainder 1
- $15 \div 3 = 5$
- Result: 13.5.
14) 8.4 ÷ 2.1: Move the decimal point one place to the right. This becomes $84 \div 21$. $21 \times 4 = 84$, so the answer is 4.
15) 0.288 ÷ 3.6: Move the decimal point one place to the right. This becomes $2.88 \div 36$.
- $28 \div 36 = 0$
- $288 \div 36 = 8$
- Place the decimal: 0.08.
16) 3.9 ÷ 1.3: Move the decimal point one place to the right. This becomes $39 \div 13$. $13 \times 3 = 39$, so the answer is 3.
17) 7.005 ÷ 0.5: Move the decimal point one place to the right. This becomes $70.05 \div 5$.
- $70 \div 5 = 14$
- $0.05 \div 5 = 0.01$
- Result: 14.01.
18) 0.288 ÷ 3.6: This is the same as problem #15. The answer is 0.08.
19) 3.024 ÷ 1.2: Move the decimal point one place to the right. This becomes $30.24 \div 12$.
- $30 \div 12 = 2$ remainder 6
- $62 \div 12 = 5$ remainder 2
- $24 \div 12 = 2$
- Result: 2.52.
20) 0.056 ÷ 0.7: Move the decimal point one place to the right. This becomes $0.56 \div 7$. Since $56 \div 7 = 8$, then $0.56 \div 7 = 0.08$.
Final Answer:
1) 0.4
2) 0.7
3) 0.06
4) 4
5) 0.03
6) 3
7) 10
8) 307
9) 33.6
10) 50
11) 6
12) 80
13) 13.5
14) 4
15) 0.08
16) 3
17) 14.01
18) 0.08
19) 2.52
20) 0.08
Parent Tip: Review the logic above to help your child master the concept of decimal division printables.