How to Use Exponents to Write Powers of Ten?

A step-by-step guide to using exponents to write powers of ten

The product of multiplying a number by itself is power. Power is made of a base number and an exponent.

A base number signifies the number getting multiplied.

An exponent is a small number written above the right-hand side of the base number. The exponent shows the number of times the base number gets multiplied. To know the exponent, you have to count the number of \(0\)s that come after the \(1\).

Using Exponents to Write Powers of Ten – Example 1

Write the number as an exponent based on \(10\).
\(100,000=\)__
Solution:
Write \(10\) and count the number of zeros after \(1\). It is \(10^5\).

Using Exponents to Write Powers of Ten – Example 2

Write the exponent.
\(10^6 =1,000,000\)
Solution:
Count the number of zeros after \(1\). It is \(10^6\).

Exercises for Using Exponents to Write Powers of Ten

Write the number.

1. \(\color{blue}{10^{-3}}\)
2. \(\color{blue}{1,000,000,000}\)
3. \(\color{blue}{10^{12}}\)
4. \(\color{blue}{10^{-9}}\)

1. \(\color{blue}{ 0.001}\)
2. \(\color{blue}{10^9}\)
3. \(\color{blue}{1,000,000,000,000}\)
4. \(\color{blue}{0.000000001}\)