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. $\color{blue}{0.000000001}$