To solve these decimal division problems, we need to divide the numbers as they are. Since both numbers in each problem are decimals, we can simplify the process by multiplying both the dividend and divisor by 10, 100, or 1000 (whatever is needed) to make them whole numbers — this doesn’t change the answer because we’re multiplying top and bottom by the same number.
Let’s go one by one:
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1) 0.28 ÷ 0.7
Multiply both by 10 → 2.8 ÷ 7 = 0.4
✔ Check: 0.7 × 0.4 = 0.28 → Correct!
2) 0.021 ÷ 0.03
Multiply both by 1000 → 21 ÷ 30 = 0.7
✔ Check: 0.03 × 0.7 = 0.021 → Correct!
3) 0.054 ÷ 0.9
Multiply both by 10 → 0.54 ÷ 9 = 0.06
✔ Check: 0.9 × 0.06 = 0.054 → Correct!
4) 5.2 ÷ 1.3
Multiply both by 10 → 52 ÷ 13 = 4
✔ Check: 1.3 × 4 = 5.2 → Correct!
5) 0.012 ÷ 0.4
Multiply both by 1000 → 12 ÷ 400 = 0.03
✔ Check: 0.4 × 0.03 = 0.012 → Correct!
6) 9.9 ÷ 3.3
Multiply both by 10 → 99 ÷ 33 = 3
✔ Check: 3.3 × 3 = 9.9 → Correct!
7) 0.5 ÷ 0.05
Multiply both by 100 → 50 ÷ 5 = 10
✔ Check: 0.05 × 10 = 0.5 → Correct!
8) 12.28 ÷ 0.04
Multiply both by 100 → 1228 ÷ 4 = 307
✔ Check: 0.04 × 307 = 12.28 → Correct!
9) 10.08 ÷ 0.3
Multiply both by 10 → 100.8 ÷ 3 = 33.6
✔ Check: 0.3 × 33.6 = 10.08 → Correct!
10) 5.5 ÷ 0.11
Multiply both by 100 → 550 ÷ 11 = 50
✔ Check: 0.11 × 50 = 5.5 → Correct!
11) 0.36 ÷ 0.06
Multiply both by 100 → 36 ÷ 6 = 6
✔ Check: 0.06 × 6 = 0.36 → Correct!
12) 0.72 ÷ 0.009
Multiply both by 1000 → 720 ÷ 9 = 80
✔ Check: 0.009 × 80 = 0.72 → Correct!
13) 0.405 ÷ 0.03
Multiply both by 1000 → 405 ÷ 30 = 13.5
✔ Check: 0.03 × 13.5 = 0.405 → Correct!
14) 8.4 ÷ 2.1
Multiply both by 10 → 84 ÷ 21 = 4
✔ Check: 2.1 × 4 = 8.4 → Correct!
15) 0.288 ÷ 3.6
Multiply both by 10 → 2.88 ÷ 36 = 0.08
✔ Check: 3.6 × 0.08 = 0.288 → Correct!
16) 3.9 ÷ 1.3
Multiply both by 10 → 39 ÷ 13 = 3
✔ Check: 1.3 × 3 = 3.9 → Correct!
17) 7.005 ÷ 0.5
Multiply both by 10 → 70.05 ÷ 5 = 14.01
✔ Check: 0.5 × 14.01 = 7.005 → Correct!
18) 0.288 ÷ 3.6 ← Same as #15
Answer: 0.08
✔ Already checked above.
19) 3.024 ÷ 1.2
Multiply both by 10 → 30.24 ÷ 12 = 2.52
✔ Check: 1.2 × 2.52 = 3.024 → Correct!
20) 0.056 ÷ 0.7
Multiply both by 10 → 0.56 ÷ 7 = 0.08
✔ Check: 0.7 × 0.08 = 0.056 → Correct!
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All answers have been verified with multiplication to ensure accuracy.
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 division with decimals practice worksheet.