Module 9 · Powers of 10 and scientific notation · Lesson 36 of 39
Powers of 10
Multiplying or dividing by 10, 100, 1,000 just moves the decimal point.
In this lesson · about 10 minutes
- Multiply and divide by powers of 10
- Use negative powers of 10
101 = 10, 102 = 100, 103 = 1,000: the exponent counts the zeros. Negative powers are decimals: 10−1 = 0.1, 10−3 = 0.001.
Multiplying by a power of 10 moves the decimal point right once for each zero: 67 × 1,000 = 67,000. Dividing moves it left: 4.3 ÷ 100 = 0.043 (add zeros in front as needed). A negative exponent also moves it left: 510.75 × 10−2 = 5.1075.
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