Place Value & Powers of 10 — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 0.045 × 10² = 4.5.
10² equals 100, and multiplying 0.045 by 100 shifts the decimal two places right, giving 4.5.
2. 6,300 ÷ 10² = 63.
10² equals 100, and dividing 6,300 by 100 shifts the decimal two places left, giving 63.
3. 0.8 × 10,000 = 8,000.
To go from 0.8 to 8,000, the decimal moves four places right, which means multiplying by 10,000.
4. 15,200 ÷ 1,000 = 15.2.
Going from 15,200 to 15.2 moves the decimal three places left, which means dividing by 1,000.
5. 3.14 × 10³ = 3,140.
10³ equals 1,000, and multiplying 3.14 by 1,000 shifts the decimal three places right, giving 3,140.
6. 9.2 ÷ 10 = 0.92.
Dividing by 10 shifts the decimal one place left, so the missing number is 9.2 because 9.2 ÷ 10 = 0.92.
7. 0.007 × 10³ = 7.
10³ equals 1,000, and multiplying 0.007 by 1,000 shifts the decimal three places right, giving 7.
8. 42,500 ÷ 10³ = 42.5.
10³ equals 1,000, and dividing 42,500 by 1,000 shifts the decimal three places left, giving 42.5.
9. 6 × 10⁴ = 60,000.
10⁴ equals 10,000, and 6 × 10,000 = 60,000, so the missing number is 6.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
2.5 × 10²
→ 250
36
90,000 ÷ 10³
→ 90
90
0.14 × 10⁴
→ 1,400
250
3,600 ÷ 10²
→ 36
1,400
Correct matches: 2.5 × 10² → 250; 90,000 ÷ 10³ → 90; 0.14 × 10⁴ → 1,400; 3,600 ÷ 10² → 36.