You're working on
multiplying decimals by 10, 100, and 1,000. This is a foundational skill in decimal arithmetic that relies on understanding
place value.
---
✔ Key Rule:
When you multiply a decimal number by:
-
10 → move the decimal point
1 place to the right
-
100 → move the decimal point
2 places to the right
-
1,000 → move the decimal point
3 places to the right
If there aren’t enough digits, add zeros as needed.
---
Let’s solve each problem step-by-step:
---
Left Column:
1.
73.6 × 10 = 736
→ Move decimal 1 place right: 73.6 → 736.0 =
736
2.
73.6 × 100 = 7360
→ Move decimal 2 places right: 73.6 → 7360. (add a zero) =
7360
3.
73.6 × 1000 = 73600
→ Move decimal 3 places right: 73.6 → 73600. =
73600
4.
0.6 × 10 = 6
→ 0.6 → 6.0 =
6
5.
0.06 × 10 = 0.6
→ 0.06 → 0.6
6.
0.006 × 10 = 0.06
→ 0.006 → 0.06
7.
0.3 × 10 = 3
→ 0.3 → 3.0 =
3
8.
0.3 × 100 = 30
→ 0.3 → 30.0 =
30
9.
0.3 × 1000 = 300
→ 0.3 → 300.0 =
300
10.
0.02 × 10 = 0.2
→ 0.02 → 0.2
11.
0.02 × 100 = 2
→ 0.02 → 2.0 =
2
12.
0.02 × 1000 = 20
→ 0.02 → 20.0 =
20
---
Right Column:
1.
0.32 × 10 = 3.2
→ 0.32 → 3.2
2.
0.67 × 10 = 6.7
→ 0.67 → 6.7
3.
0.91 × 100 = 91
→ 0.91 → 91.0 =
91
4.
0.74 × 100 = 74
→ 0.74 → 74.0 =
74
5.
4.1 × 1000 = 4100
→ 4.1 → 4100. (add two zeros) =
4100
6.
7.6 × 1000 = 7600
→ 7.6 → 7600. =
7600
7.
0.01 × 1000 = 10
→ 0.01 → 10.0 =
10
8.
0.07 × 1000 = 70
→ 0.07 → 70.0 =
70
9.
0.072 × 100 = 7.2
→ 0.072 → 7.2
10.
0.802 × 10 = 8.02
→ 0.802 → 8.02
11.
0.019 × 1000 = 19
→ 0.019 → 19.0 =
19
12.
7.412 × 1000 = 7412
→ 7.412 → 7412.0 =
7412
---
##
✔ Final Answers (Filled In):
```
73.6 x 10 = 736 0.32 x 10 = 3.2
73.6 x 100 = 7360 0.67 x 10 = 6.7
73.6 x 1000 = 73600 0.91 x 100 = 91
0.6 x 10 = 6 0.74 x 100 = 74
0.06 x 10 = 0.6 4.1 x 1000 = 4100
0.006 x 10 = 0.06 7.6 x 1000 = 7600
0.3 x 10 = 3 0.01 x 1000 = 10
0.3 x 100 = 30 0.07 x 1000 = 70
0.3 x 1000 = 300 0.072 x 100 = 7.2
0.02 x 10 = 0.2 0.802 x 10 = 8.02
0.02 x 100 = 2 0.019 x 1000 = 19
0.02 x 1000 = 20 7.412 x 1000 = 7412
```
---
## 💡 Tip for Learning:
Practice this with real-world examples — like converting meters to centimeters (×100) or kilometers to meters (×1000). The same rule applies!
Let me know if you’d like a printable version or more practice problems! 😊
Parent Tip: Review the logic above to help your child master the concept of multiplying decimals by 10 100 and 1000 worksheet.
