Let’s solve each problem one by one. Remember: when you divide a number by 10, 100, or 1000, the decimal point moves to the left — 1 place for 10, 2 places for 100, and 3 places for 1000.
But here, we’re given the result and need to find what was divided (or what we divided by). So we’ll think backwards.
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Problem 1: ___ ÷ 100 = 4.58
→ To get back to the original number, multiply 4.58 × 100 =
458
Problem 2: 637 ÷ ___ = 6.37
→ How many times do we divide 637 to get 6.37? Move decimal 2 places left → divide by
100
Problem 3: 672 ÷ ___ = 67.2
→ Decimal moved 1 place left → divide by
10
Problem 4: ___ ÷ 1000 = 0.372
→ Multiply 0.372 × 1000 =
372
Problem 5: ___ ÷ 1000 = 0.431
→ Multiply 0.431 × 1000 =
431
Problem 6: 62 ÷ ___ = 6.2
→ Decimal moved 1 place left → divide by
10
Problem 7: 972 ÷ ___ = 9.72
→ Decimal moved 2 places left → divide by
100
Problem 8: 84 ÷ ___ = 0.084
→ From 84 to 0.084 is moving decimal 3 places left → divide by
1000
Now the right column:
Problem 9: 422 ÷ ___ = 4.22
→ Decimal moved 2 places left → divide by
100
Problem 10: ___ ÷ 100 = 6.26
→ Multiply 6.26 × 100 =
626
Problem 11: 898 ÷ ___ = 89.8
→ Decimal moved 1 place left → divide by
10
Problem 12: ___ ÷ 10 = 30.3
→ Multiply 30.3 × 10 =
303
Problem 13: 826 ÷ ___ = 0.826
→ From 826 to 0.826 is 3 places left → divide by
1000
Problem 14: ___ ÷ 100 = 3.55
→ Multiply 3.55 × 100 =
355
Problem 15: 46 ÷ ___ = 0.046
→ From 46 to 0.046 is 3 places left → divide by
1000
Problem 16: ___ ÷ 100 = 1.42
→ Multiply 1.42 × 100 =
142
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Final Answer:
1) 458
2) 100
3) 10
4) 372
5) 431
6) 10
7) 100
8) 1000
9) 100
10) 626
11) 10
12) 303
13) 1000
14) 355
15) 1000
16) 142
Parent Tip: Review the logic above to help your child master the concept of decimal division worksheet grade 5.
