Multiply and divide decimals by powers of 10 greater than 1.
When multiplying a decimal by a power of 10 (like 10, 100, 1000, etc.), you move the decimal point to the right. For example:
- \( 2.5 \times 10 = 25.0 \) (move the decimal one place to the right)
- \( 0.45 \times 100 = 45.0 \) (move the decimal two places to the right)
When dividing a decimal by a power of 10, you move the decimal point to the left:
- \( 25.0 \div 10 = 2.5 \) (move the decimal one place to the left)
- \( 45.0 \div 100 = 0.45 \) (move the decimal two places to the left)
This method is useful for simplifying calculations and understanding the effects of multiplying and dividing by powers of 10.