## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Skills Handbook - Scientific Notation and Significant Digits - Exercises - Page 807: 4

#### Answer

$7.2\times10^{-3}$

#### 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 then we 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. For the number $0.0072$, we move the decimal to the right $3$ places, giving us a coefficient of $7.2$ and a power of $10$ to the negative $3$. In scientific notation, this is $7.2\times10^{-3}$.

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