Let's solve each of these multiplication problems involving decimals multiplied by
10, 100, or 1000.
🔍 Key Rule:
When multiplying a decimal by:
-
10, move the decimal point
1 place to the right
-
100, move the decimal point
2 places to the right
-
1000, move the decimal point
3 places to the right
---
✔ Solutions:
1)
5.14 × 10 =
51.4
→ Move decimal 1 place right: 5.14 → 51.4
2)
0.05 × 100 =
5
→ Move decimal 2 places right: 0.05 → 5.0 →
5
3)
0.75 × 100 =
75
→ Move decimal 2 places right: 0.75 → 75
4)
0.406 × 10 =
4.06
→ Move decimal 1 place right: 0.406 → 4.06
5)
1.71 × 100 =
171
→ Move decimal 2 places right: 1.71 → 171
6)
35.51 × 10 =
355.1
→ Move decimal 1 place right: 35.51 → 355.1
7)
20.079 × 10 =
200.79
→ Move decimal 1 place right: 20.079 → 200.79
8)
5.59 × 100 =
559
→ Move decimal 2 places right: 5.59 → 559
9)
4.642 × 10 =
46.42
→ Move decimal 1 place right: 4.642 → 46.42
10)
8.013 × 10 =
80.13
→ Move decimal 1 place right: 8.013 → 80.13
11)
2.061 × 10 =
20.61
→ Move decimal 1 place right: 2.061 → 20.61
12)
7.01 × 100 =
701
→ Move decimal 2 places right: 7.01 → 701
13)
10.10 × 10 =
101.0 →
101
→ Move decimal 1 place right: 10.10 → 101.0 → 101
14)
5.531 × 10 =
55.31
→ Move decimal 1 place right: 5.531 → 55.31
15)
9.073 × 10 =
90.73
→ Move decimal 1 place right: 9.073 → 90.73
16)
45.21 × 100 =
4521
→ Move decimal 2 places right: 45.21 → 4521
17)
3.07 × 100 =
307
→ Move decimal 2 places right: 3.07 → 307
18)
62.20 × 100 =
6220
→ Move decimal 2 places right: 62.20 → 6220
19)
84.47 × 10 =
844.7
→ Move decimal 1 place right: 84.47 → 844.7
20)
99.99 × 10 =
999.9
→ Move decimal 1 place right: 99.99 → 999.9
---
✔ Final Answers:
1) 51.4
2) 5
3) 75
4) 4.06
5) 171
6) 355.1
7) 200.79
8) 559
9) 46.42
10) 80.13
11) 20.61
12) 701
13) 101
14) 55.31
15) 90.73
16) 4521
17) 307
18) 6220
19) 844.7
20) 999.9
---
✔ Tip: Always count how many zeros are in the multiplier (10, 100, 1000), and move the decimal that many places to the right. Add zeros if needed!
Let me know if you'd like this as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of decimal multiplication worksheets.