Explain patterns in the number of zeros of the product when multiplying a number by powers of 10

What you'll learn

1. Explain why multiplying a whole number by a power of 10 appends zeros to the product and connect this pattern to place value shifts
2. Predict the number of zeros in the product when a whole number is multiplied by 10, 100, 1,000, or any power of 10
3. Explain why multiplying a decimal by a power of 10 moves the decimal point to the right and why dividing moves it to the left
4. Use the pattern of decimal point placement to compute products and quotients of decimals with powers of 10
5. Read and write powers of 10 using whole-number exponent notation (10^1 = 10, 10^2 = 100, 10^3 = 1,000)
6. Connect exponent notation to repeated multiplication and to the number of place value shifts

Prerequisites

• Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right