Let’s solve each problem one by one. We’ll use the rule:
When you multiply or divide by a power of ten (like 10¹, 10², 10³), you move the decimal point.
-
Multiplying by 10ⁿ → move decimal
right n places.
-
Dividing by 10ⁿ → move decimal
left n places.
We’ll go row by row.
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Left Column:
1.
9.15 ÷ 10³ = ?
Divide by 1000 → move decimal left 3 places.
9.15 → 0.915 → 0.0915 →
0.00915
2.
0.3 ÷ 10³ = ?
Move decimal left 3 places.
0.3 → 0.03 → 0.003 →
0.0003
3.
2.4784 × 10³ = ?
Multiply by 1000 → move decimal right 3 places.
2.4784 → 24.784 → 247.84 →
2478.4
4.
5.615 ÷ 10¹ = ?
Divide by 10 → move decimal left 1 place.
5.615 →
0.5615
5.
9.8116 × 10² = ?
Multiply by 100 → move decimal right 2 places.
9.8116 → 98.116 →
981.16
6.
4.221 × 10¹ = ?
Multiply by 10 → move decimal right 1 place.
4.221 →
42.21
7.
8.2 ÷ 10⁴ = ?
Divide by 10,000 → move decimal left 4 places.
8.2 → 0.82 → 0.082 → 0.0082 →
0.00082
8.
4.8351 ÷ 10¹ = ?
Divide by 10 → move decimal left 1 place.
4.8351 →
0.48351
9.
9.2719 × 10¹ = ?
Multiply by 10 → move decimal right 1 place.
9.2719 →
92.719
10.
2.152 ÷ 10² = ?
Divide by 100 → move decimal left 2 places.
2.152 → 0.2152 →
0.02152
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Right Column:
1.
9.7 × 10¹ = ?
Multiply by 10 → move decimal right 1 place.
9.7 →
97
2.
2.134 ÷ 10² = ?
Divide by 100 → move decimal left 2 places.
2.134 → 0.2134 →
0.02134
3.
2.318 ÷ 10³ = ?
Divide by 1000 → move decimal left 3 places.
2.318 → 0.2318 → 0.02318 →
0.002318
4.
7.5077 ÷ 10³ = ?
Divide by 1000 → move decimal left 3 places.
7.5077 → 0.75077 → 0.075077 →
0.0075077
5.
7.7169 ÷ 10¹ = ?
Divide by 10 → move decimal left 1 place.
7.7169 →
0.77169
6.
2.68 × 10¹ = ?
Multiply by 10 → move decimal right 1 place.
2.68 →
26.8
7.
3 × 10³ = ?
Multiply by 1000 → add 3 zeros.
3 →
3000
8.
0.2878 × 10² = ?
Multiply by 100 → move decimal right 2 places.
0.2878 → 2.878 →
28.78
9.
9.461 ÷ 10¹ = ?
Divide by 10 → move decimal left 1 place.
9.461 →
0.9461
10.
3.2544 × 10¹ = ?
Multiply by 10 → move decimal right 1 place.
3.2544 →
32.544
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Final Answer:
Left Column:
0.00915
0.0003
2478.4
0.5615
981.16
42.21
0.00082
0.48351
92.719
0.02152
Right Column:
97
0.02134
0.002318
0.0075077
0.77169
26.8
3000
28.78
0.9461
32.544
Parent Tip: Review the logic above to help your child master the concept of worksheet multiplying and dividing powers.
