Powers of ten show how many times the number ten is used as a factor. Each power of ten represents multiplying ten by itself a certain number of times.
The exponent tells how many times you multiply ten by itself. A higher exponent makes the number grow quickly.
An exponent shows how many times the base number is multiplied by itself. In powers of ten, the base is always 10, and the exponent tells you how many zeros the number has.
The number of zeros in the product is the same as the exponent. For example, 10³ has three zeros: 1,000.
When you multiply a number by a power of ten, move the digits to the left. When you divide by a power of ten, move the digits to the right.
Each time you multiply or divide by 10, the value of each digit changes its place value. Multiplying increases the size; dividing decreases it.
Numbers that are multiples of ten can be written in two ways: standard form (with zeros) and exponential form (with exponents).
Exponential form is a shorter way to show repeated multiplication by 10. It is often used in science and large number calculations.
Negative exponents show powers of ten that are smaller than one. Each negative power moves the digits to the right, dividing by ten each time.
Each negative exponent means the decimal point moves one place to the left for each step down in power.