Let’s solve each problem step by step. Remember: when you divide a decimal by a power of ten (like 0.1, 0.01, 10, 100, etc.), you’re really moving the decimal point.
- Dividing by
0.1 = multiply by 10 → move decimal
right 1 place
- Dividing by
0.01 = multiply by 100 → move decimal
right 2 places
- Dividing by
0.001 = multiply by 1000 → move decimal
right 3 places
- Dividing by
10 = move decimal
left 1 place
- Dividing by
100 = move decimal
left 2 places
- Dividing by
1,000 = move decimal
left 3 places
Now let’s go one by one:
---
1) 883.9 ÷ 0.1
→ Move decimal right 1 place → 8839.0 →
8839
2) 9.8 ÷ 0.01
→ Move decimal right 2 places → 980.0 →
980
3) 2.1 ÷ 0.001
→ Move decimal right 3 places → 2100.0 →
2100
4) 1.38 ÷ 0.1
→ Move decimal right 1 place → 13.8 →
13.8
5) 6.19 ÷ 100
→ Move decimal left 2 places → 0.0619 →
0.0619
6) 462.7 ÷ 0.001
→ Move decimal right 3 places → 462700.0 →
462700
7) 30.01 ÷ 0.01
→ Move decimal right 2 places → 3001.0 →
3001
8) 7.5 ÷ 0.1
→ Move decimal right 1 place → 75.0 →
75
9) 6.05 ÷ 1,000
→ Move decimal left 3 places → 0.00605 →
0.00605
10) 36.46 ÷ 0.01
→ Move decimal right 2 places → 3646.0 →
3646
11) 10.3 ÷ 0.1
→ Move decimal right 1 place → 103.0 →
103
12) 18.2 ÷ 0.001
→ Move decimal right 3 places → 18200.0 →
18200
13) 594.2 ÷ 100
→ Move decimal left 2 places → 5.942 →
5.942
14) 0.7 ÷ 10
→ Move decimal left 1 place → 0.07 →
0.07
15) 11.4 ÷ 10
→ Move decimal left 1 place → 1.14 →
1.14
16) 10.3 ÷ 1,000
→ Move decimal left 3 places → 0.0103 →
0.0103
---
Final Answer:
1) 8839
2) 980
3) 2100
4) 13.8
5) 0.0619
6) 462700
7) 3001
8) 75
9) 0.00605
10) 3646
11) 103
12) 18200
13) 5.942
14) 0.07
15) 1.14
16) 0.0103
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing by powers of 10 worksheet.