To solve these decimal division problems, we need to divide one decimal number by another. The key is to make the divisor a whole number by moving the decimal point in both the dividend and divisor. Then, perform the division as usual.
Let’s go step by step for each problem:
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1) 0.28 ÷ 0.7
Move decimal 1 place right in both → 2.8 ÷ 7 = 0.4
✔ Check: 0.7 × 0.4 = 0.28 → Correct.
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2) 0.021 ÷ 0.03
Move decimal 2 places right → 2.1 ÷ 3 = 0.7
✔ Check: 0.03 × 0.7 = 0.021 → Correct.
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3) 0.054 ÷ 0.9
Move decimal 1 place right → 0.54 ÷ 9 = 0.06
✔ Check: 0.9 × 0.06 = 0.054 → Correct.
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4) 5.2 ÷ 1.3
Move decimal 1 place right → 52 ÷ 13 = 4
✔ Check: 1.3 × 4 = 5.2 → Correct.
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5) 0.012 ÷ 0.4
Move decimal 1 place right → 0.12 ÷ 4 = 0.03
✔ Check: 0.4 × 0.03 = 0.012 → Correct.
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6) 9.9 ÷ 3.3
Move decimal 1 place right → 99 ÷ 33 = 3
✔ Check: 3.3 × 3 = 9.9 → Correct.
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7) 0.5 ÷ 0.05
Move decimal 2 places right → 50 ÷ 5 = 10
✔ Check: 0.05 × 10 = 0.5 → Correct.
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8) 12.28 ÷ 0.04
Move decimal 2 places right → 1228 ÷ 4 = 307
✔ Check: 0.04 × 307 = 12.28 → Correct.
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9) 10.08 ÷ 0.3
Move decimal 1 place right → 100.8 ÷ 3 = 33.6
✔ Check: 0.3 × 33.6 = 10.08 → Correct.
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10) 5.5 ÷ 0.11
Move decimal 2 places right → 550 ÷ 11 = 50
✔ Check: 0.11 × 50 = 5.5 → Correct.
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11) 0.36 ÷ 0.06
Move decimal 2 places right → 36 ÷ 6 = 6
✔ Check: 0.06 × 6 = 0.36 → Correct.
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12) 0.72 ÷ 0.009
Move decimal 3 places right → 720 ÷ 9 = 80
✔ Check: 0.009 × 80 = 0.72 → Correct.
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13) 0.405 ÷ 0.03
Move decimal 2 places right → 40.5 ÷ 3 = 13.5
✔ Check: 0.03 × 13.5 = 0.405 → Correct.
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14) 8.4 ÷ 2.1
Move decimal 1 place right → 84 ÷ 21 = 4
✔ Check: 2.1 × 4 = 8.4 → Correct.
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15) 0.288 ÷ 3.6
Move decimal 1 place right → 2.88 ÷ 36 = 0.08
✔ Check: 3.6 × 0.08 = 0.288 → Correct.
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16) 3.9 ÷ 1.3
Move decimal 1 place right → 39 ÷ 13 = 3
✔ Check: 1.3 × 3 = 3.9 → Correct.
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17) 7.005 ÷ 0.5
Move decimal 1 place right → 70.05 ÷ 5 = 14.01
✔ Check: 0.5 × 14.01 = 7.005 → Correct.
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18) 0.288 ÷ 3.6
Same as #15 → 0.08
✔ Check: 3.6 × 0.08 = 0.288 → Correct.
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19) 3.024 ÷ 1.2
Move decimal 1 place right → 30.24 ÷ 12 = 2.52
✔ Check: 1.2 × 2.52 = 3.024 → Correct.
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20) 0.056 ÷ 0.7
Move decimal 1 place right → 0.56 ÷ 7 = 0.08
✔ Check: 0.7 × 0.08 = 0.056 → Correct.
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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 dividing decimals by whole numbers worksheet.