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PART B Green was chosen by \( 18 \% \) of the people. Which number is equivalent to \( 18 \% \) ? Select all that apply. \( \begin{array}{ll}\frac{18}{1,000} & 0.18 \\ \frac{18}{100} & 0.018\end{array} \)

Ask by Stuart Wang. in the United States
Feb 27,2025

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Answer

The numbers equivalent to \( 18\% \) are \( 0.18 \) and \( \frac{18}{100} \).

Solution

To determine which numbers are equivalent to \( 18\% \), we can convert \( 18\% \) into its fractional and decimal forms. 1. **Convert \( 18\% \) to a fraction:** \[ 18\% = \frac{18}{100} \] 2. **Convert \( 18\% \) to a decimal:** \[ 18\% = 0.18 \] Now, let's analyze the options provided: - \( \frac{18}{1,000} \): This fraction simplifies to \( 0.018 \) (since \( \frac{18}{1,000} = 0.018 \)). - \( 0.18 \): This is the decimal equivalent of \( 18\% \). - \( \frac{18}{100} \): This fraction simplifies to \( 0.18 \) (since \( \frac{18}{100} = 0.18 \)). - \( 0.018 \): This is not equivalent to \( 18\% \) as it represents \( 1.8\% \). Thus, the numbers equivalent to \( 18\% \) are: - \( 0.18 \) - \( \frac{18}{100} \) The correct selections are \( 0.18 \) and \( \frac{18}{100} \).

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To figure out which numbers are equivalent to \( 18 \% \), we need to remember that \( 18 \% \) can be expressed as a fraction or a decimal. When you convert \( 18 \% \) into a decimal, you divide 18 by 100, which gives you \( 0.18 \). So, \( 0.18 \) is definitely one of the correct options! Now, let's look at the fractions. \( \frac{18}{100} \) simplifies to \( 0.18 \) as well, making it another equivalent option. On the other hand, \( \frac{18}{1,000} \) equals \( 0.018 \), which is not equal to \( 18 \% \). Therefore, the numbers equivalent to \( 18 \% \) are \( \frac{18}{100} \) and \( 0.18 \)!

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