Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 7 - Exponents and Exponential Functions - Chapter Test: 7

Answer

$7.95\times10^{10}$

Work Step by Step

To convert a number from standard notation to scientific notation, we must move the decimal to the left or to the right, counting the number of places, until the number is between $1$ and $10$, and multiply by a power of $10$. If the number is less than $1$, and we moved the decimal to the right, the power of $10$ is the negative number of places we moved the decimal point. If the number is greater than $1$, and we moved the decimal to the left, the power of $10$ is the positive number of places we moved the decimal point. To convert $79,500,000,000$, we have to move the decimal place $10$ places to the left, giving us a coefficient of $7.95$ and making the power of $10$ be $10$. This leaves us with the expression: $7.95\times10^{10}$
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