Let's solve each problem in the worksheet titled
"Divide Tenths by Powers of 10". The task is to divide decimal numbers (tenths) by powers of 10:
10, 100, or 1000.
🔍 Key Concept:
When dividing a decimal by powers of 10:
-
Dividing by 10: Move the decimal point
1 place to the left
-
Dividing by 100: Move the decimal point
2 places to the left
-
Dividing by 1000: Move the decimal point
3 places to the left
---
✔ Let's Solve Each Problem:
#### Left Column:
1.
431.9 ÷ 1000
→ Move decimal 3 places left:
431.9 → 0.4319
✔ 0.4319
2.
627.7 ÷ 1000
→ Move decimal 3 places left:
627.7 → 0.6277
✔ 0.6277
3.
119.3 ÷ 1000
→ Move decimal 3 places left:
119.3 → 0.1193
✔ 0.1193
4.
412.9 ÷ 1000
→ Move decimal 3 places left:
412.9 → 0.4129
✔ 0.4129
5.
96.5 ÷ 100
→ Move decimal 2 places left:
96.5 → 0.965
✔ 0.965
6.
87.7 ÷ 100
→ Move decimal 2 places left:
87.7 → 0.877
✔ 0.877
7.
79.5 ÷ 100
→ Move decimal 2 places left:
79.5 → 0.795
✔ 0.795
8.
67.5 ÷ 100
→ Move decimal 2 places left:
67.5 → 0.675
✔ 0.675
---
#### Right Column:
9.
87.4 ÷ 100
→ Move decimal 2 places left:
87.4 → 0.874
✔ 0.874
10.
26.7 ÷ 100
→ Move decimal 2 places left:
26.7 → 0.267
✔ 0.267
11.
86.6 ÷ 10
→ Move decimal 1 place left:
86.6 → 8.66
✔ 8.66
12.
80.2 ÷ 10
→ Move decimal 1 place left:
80.2 → 8.02
✔ 8.02
13.
56.1 ÷ 10
→ Move decimal 1 place left:
56.1 → 5.61
✔ 5.61
14.
85.9 ÷ 10
→ Move decimal 1 place left:
85.9 → 8.59
✔ 8.59
15.
44.9 ÷ 10
→ Move decimal 1 place left:
44.9 → 4.49
✔ 4.49
16.
76.3 ÷ 10
→ Move decimal 1 place left:
76.3 → 7.63
✔ 7.63
---
📝 Final Answers:
| Problem | Answer |
|--------|--------|
| 431.9 ÷ 1000 = |
0.4319 |
| 627.7 ÷ 1000 = |
0.6277 |
| 119.3 ÷ 1000 = |
0.1193 |
| 412.9 ÷ 1000 = |
0.4129 |
| 96.5 ÷ 100 = |
0.965 |
| 87.7 ÷ 100 = |
0.877 |
| 79.5 ÷ 100 = |
0.795 |
| 67.5 ÷ 100 = |
0.675 |
| 87.4 ÷ 100 = |
0.874 |
| 26.7 ÷ 100 = |
0.267 |
| 86.6 ÷ 10 = |
8.66 |
| 80.2 ÷ 10 = |
8.02 |
| 56.1 ÷ 10 = |
5.61 |
| 85.9 ÷ 10 = |
8.59 |
| 44.9 ÷ 10 = |
4.49 |
| 76.3 ÷ 10 = |
7.63 |
---
💡 Tips for Students:
- Always count how many zeros are in the divisor (10, 100, 1000).
- Move the decimal point that many places to the
left.
- Add zeros if needed to fill empty spaces.
For example:
5.3 ÷ 1000 = 0.0053
→ Move decimal 3 places left → add two leading zeros.
✔ Practice makes perfect! Keep using this method to master decimal division by powers of 10.
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing decimals by powers of 10 worksheet.
