Let's solve each problem step by step. The key concept here is
multiplying decimals by powers of ten (like 10, 100, 1,000, 0.1, 0.01, etc.).
Rule:
- When you multiply a decimal by
10,
100,
1,000, etc., you
move the decimal point to the right by the number of zeros in the power of ten.
- When you multiply by
0.1,
0.01,
0.001, etc., you
move the decimal point to the left by the number of decimal places.
---
Let's solve each one:
---
1)
9.9 × 100
→ Move decimal 2 places right:
9.9 → 990
✔ 990
2)
0.4 × 0.001
→ 0.001 = 10⁻³ → move decimal 3 places
left
0.4 → 0.0004
✔ 0.0004
3)
0.76 × 0.1
→ Move decimal 1 place left:
0.76 → 0.076
✔ 0.076
4)
36.69 × 1,000
→ Move decimal 3 places right:
36.69 → 36,690
✔ 36,690
5)
1.05 × 0.01
→ Move decimal 2 places left:
1.05 → 0.0105
✔ 0.0105
6)
8.1 × 10
→ Move decimal 1 place right:
8.1 → 81
✔ 81
7)
30.3 × 1,000
→ Move decimal 3 places right:
30.3 → 30,300
✔ 30,300
8)
12.7 × 100
→ Move decimal 2 places right:
12.7 → 1,270
✔ 1,270
9)
0.428 × 10
→ Move decimal 1 place right:
0.428 → 4.28
✔ 4.28
10)
283.3 × 0.01
→ Move decimal 2 places left:
283.3 → 2.833
✔ 2.833
11)
9.607 × 0.1
→ Move decimal 1 place left:
9.607 → 0.9607
✔ 0.9607
12)
0.5 × 10
→ Move decimal 1 place right:
0.5 → 5
✔ 5
13)
4.11 × 0.001
→ Move decimal 3 places left:
4.11 → 0.00411
✔ 0.00411
14)
6.2 × 0.01
→ Move decimal 2 places left:
6.2 → 0.062
✔ 0.062
15)
1.2 × 1,000
→ Move decimal 3 places right:
1.2 → 1,200
✔ 1,200
16)
49.8 × 0.1
→ Move decimal 1 place left:
49.8 → 4.98
✔ 4.98
---
Final Answers:
1) 990
2) 0.0004
3) 0.076
4) 36,690
5) 0.0105
6) 81
7) 30,300
8) 1,270
9) 4.28
10) 2.833
11) 0.9607
12) 5
13) 0.00411
14) 0.062
15) 1,200
16) 4.98
---
✔ All problems solved using the rule of moving the decimal point based on the power of ten. Let me know if you'd like this explained with visual examples!
Parent Tip: Review the logic above to help your child master the concept of powers of ten worksheet.
