Learning Target: I can use patterns to multiply and divide by powers of 10. Learning Target: I can use patterns to multiply and divide by powers of 10.
When multiplying by a power of ten, move the decimal point
to the right the same number of places as in the exponent.
0.0009 × 101 = 0.009
0.0009 × 102 = 0.09
0.0009 × 103 = 0.9
0.0009 × 104 = 9
When dividing by a power of ten, move the decimal point
to the left the same number of places as in the exponent.
78 ÷ 101 = 7.8
78 ÷ 102 = 0.78
78 ÷ 103 = 0.078
78 ÷ 104 = 0.0078
Let's Practice Together
Multiply or divide using patterns.
1. 9,800 ÷ 103
2. 57.9 ÷ 101
3. 0.38 × 102
Your Turn
4. 0.66 ÷ 102
5. 3.73 ÷ 102
6. 0.755 ÷ 103
7. 1.52 × 101
8. 9.21 ÷ 101
9. 83 ÷ 101
10. 2,615 × 101
11. 1.624 × 103
12. 45.8 × 102
Check for Understanding
1. The distance between two stars is 3.45 × 103 light years. What is the distance expressed in standard form?
Answers
1. 9.8
2. 5.79
3. 38
4. 0.0066
5. 0.0373
6. 0.000755
7. 15.2
8. 0.921
9. 8.3
10. 26,150
11. 1,624
12. 4,580
Check for Understanding
1. 3,450