Question
Which sign makes the statement true? \( 41 \frac{3}{10} \% \) ? 0.413
Ask by Griffiths Cox. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
\( 41\,\frac{3}{10}\% = 0.413 \)
Solution
To compare \( 41 \frac{3}{10} \% \) and \( 0.413 \), let's convert the percentage to its decimal form:
1. **Convert Percentage to Decimal:**
\[
41 \frac{3}{10} \% = 41.3\% = \frac{41.3}{100} = 0.413
\]
2. **Comparison:**
\[
0.413 = 0.413
\]
Since both values are equal, the correct sign is **=**.
**Final Statement:**
\[
41 \frac{3}{10} \% \; = \; 0.413
\]
Answer: \( 41\,\frac{3}{10}\% = 0.413 \)
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Extra Insights
To determine which sign makes the statement true, we first convert the percentage into a decimal. \( 41 \frac{3}{10} \% \) can be interpreted as \( 41.3\% \), which is equal to \( 0.413 \) when expressed as a decimal (just divide by 100). Therefore, the correct sign is "="; thus, \( 41 \frac{3}{10} \% \) is indeed equal to \( 0.413 \). To visualize this, you can think of \( 41.3\% \) as touching the \( 0.413 \) on a number line—both points land in the same spot! Remember, when converting percentages to decimals, just shift the decimal point two places to the left. It’s a little math magic!
