How to Use Exponents to Write Powers of Ten?
In this article, you will learn how to use exponent rules to write numbers with a base of ten and powers of integers.
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A step-by-step guide to using exponents to write powers of ten
The product of multiplying a number by itself is the square. Power is made of a base number and an exponent.
A base number signifies the number being 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 is 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.
- \(\color{blue}{10^{-3}}\)
- \(\color{blue}{1,000,000,000}\)
- \(\color{blue}{10^{12}}\)
- \(\color{blue}{10^{-9}}\)
- \(\color{blue}{ 0.001}\)
- \(\color{blue}{10^9}\)
- \(\color{blue}{1,000,000,000,000}\)
- \(\color{blue}{0.000000001}\)
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