Let’s solve each problem one by one using decimal multiplication and division rules.
Remember:
- When you multiply a number by 10, 100, or 1,000, move the decimal point to the right (1 place for ×10, 2 places for ×100, 3 places for ×1,000).
- When you divide a number by 10, 100, or 1,000, move the decimal point to the left (1 place for ÷10, 2 places for ÷100, 3 places for ÷1,000).
- If you’re missing a multiplier or divisor, think: “What do I need to multiply/divide by to get from the first number to the second?”
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1) 626.54 × ______ = 6,265.4
→ Move decimal in 626.54 one place right → ×10
✔ Answer:
10
2) 982.24 × ______ = 98,224
→ 982.24 → 98,224 is moving decimal 2 places right → ×100
✔ Answer:
100
3) 79,310 ÷ 100 = ______
→ Move decimal 2 places left: 79,310. → 793.10
✔ Answer:
793.1
4) ______ × 100 = 54,757.9
→ To get 54,757.9 after multiplying by 100, start with 547.579 (move decimal 2 places left)
✔ Answer:
547.579
5) ______ ÷ 100 = 954.132
→ To get 954.132 after dividing by 100, original number was 95,413.2 (move decimal 2 places right)
✔ Answer:
95,413.2
6) 821.35 × 10 = ______
→ Move decimal 1 place right: 8,213.5
✔ Answer:
8,213.5
7) ______ ÷ 100 = 753.6
→ Original number: 75,360 (move decimal 2 places right)
✔ Answer:
75,360
8) 591,840 ÷ ______ = 591.84
→ 591,840 → 591.84 is moving decimal 3 places left → ÷1,000
✔ Answer:
1,000
9) ______ × 10 = 9,292
→ Divide 9,292 by 10 → 929.2
✔ Answer:
929.2
10) 611.216 ÷ ______ = 611.216
→ Dividing by 1 doesn’t change the number
✔ Answer:
1
11) 563.8 × 10 = ______
→ Move decimal 1 place right: 5,638
✔ Answer:
5,638
12) 852.6 × 1,000 = ______
→ Move decimal 3 places right: 852,600
✔ Answer:
852,600
13) ______ × 1,000 = 332,960
→ Divide 332,960 by 1,000 → 332.96
✔ Answer:
332.96
14) ______ ÷ 100 = 758.78
→ Multiply 758.78 by 100 → 75,878
✔ Answer:
75,878
15) 75,412.9 ÷ 100 = ______
→ Move decimal 2 places left: 754.129
✔ Answer:
754.129
16) 4,878.86 ÷ ______ = 487.886
→ 4,878.86 → 487.886 is moving decimal 1 place left → ÷10
✔ Answer:
10
17) 44,338.9 ÷ 100 = ______
→ Move decimal 2 places left: 443.389
✔ Answer:
443.389
18) 169.1 × ______ = 169,100
→ 169.1 → 169,100 is moving decimal 3 places right → ×1,000
✔ Answer:
1,000
19) ______ ÷ 100 = 357.97
→ Multiply 357.97 by 100 → 35,797
✔ Answer:
35,797
20) ______ × 1,000 = 151,370
→ Divide 151,370 by 1,000 → 151.37
✔ Answer:
151.37
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Final Answer:
1) 10
2) 100
3) 793.1
4) 547.579
5) 95,413.2
6) 8,213.5
7) 75,360
8) 1,000
9) 929.2
10) 1
11) 5,638
12) 852,600
13) 332.96
14) 75,878
15) 754.129
16) 10
17) 443.389
18) 1,000
19) 35,797
20) 151.37
Parent Tip: Review the logic above to help your child master the concept of 5 nbt 2 worksheet.
