Place Value & Powers of 10 — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 0.29 × 1,000 = 290.
To go from 0.29 to 290, the decimal moves three places to the right, which means multiplying by 1,000.
2. 470 ÷ 100 = 4.7.
Dividing by 100 shifts the decimal two places left, so the missing number must be 470 because 470 ÷ 100 = 4.7.
3. 12.5 × 10² = 1,250.
10² equals 100, and multiplying 12.5 by 100 shifts the decimal two places right, giving 1,250.
4. 96,000 ÷ 1,000 = 96.
Going from 96,000 to 96 removes three zeros, which means dividing by 1,000.
5. 0.003 × 10⁴ = 30.
10⁴ equals 10,000, and multiplying 0.003 by 10,000 shifts the decimal four places right, giving 30.
6. 81 × 100 = 8,100.
Multiplying by 100 adds two zeros, so the missing number is 81 because 81 × 100 = 8,100.
7. 5,400 ÷ 10³ = 5.4.
10³ equals 1,000, and dividing 5,400 by 1,000 shifts the decimal three places left, giving 5.4.
8. 7.06 × 1,000 = 7,060.
Multiplying by 1,000 shifts the decimal three places right, so 7.06 becomes 7,060.
9. 250,000 ÷ 10⁴ = 25.
10⁴ equals 10,000, and dividing 250,000 by 10,000 removes four zeros, giving 25.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
0.52 × 10³
→ 520
73
8,400 ÷ 10²
→ 84
520
1.6 × 10⁴
→ 16,000
16,000
730 ÷ 10
→ 73
84
Correct matches: 0.52 × 10³ → 520; 8,400 ÷ 10² → 84; 1.6 × 10⁴ → 16,000; 730 ÷ 10 → 73.