Question
Which sign makes the statement true? \[ \begin{array}{l}89.25 \% \\ >\end{array}+8.96 \]
Ask by Lane Johnson. in the United States
Jan 23,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
The correct sign is "<". So, \(89.25\% < +8.96\).
Solution
To determine which sign makes the statement true, we need to compare \( 89.25\% \) and \( +8.96 \).
First, we convert \( 89.25\% \) into a decimal:
\[
89.25\% = \frac{89.25}{100} = 0.8925
\]
Now, we need to compare \( 0.8925 \) with \( +8.96 \).
Since \( 8.96 \) is much greater than \( 0.8925 \), we can conclude that:
\[
0.8925 < 8.96
\]
Thus, the correct sign to make the statement true is:
\[
89.25\% < +8.96
\]
So, the statement can be written as:
\[
89.25\% < +8.96
\]
Reviewed and approved by the UpStudy tutoring team
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Explain 
Simplify this solution Mind Expander
To make the statement true, we need to find a sign that indicates the relationship between 89.25% and the sum of it with 8.96. First, let's convert 89.25% into decimal form, which is 0.8925. When we add 8.96 to it, we get \(0.8925 + 8.96 = 9.8525\). Therefore, since 9.8525 is greater than either 89.25 or 8.96 alone, the correct sign to make the statement true would be \(>\). If you're dealing with percentages frequently, remember that converting to decimals can simplify comparisons. Just move the decimal point two places to the left! When approaching problems with sums, prioritize calculating exact values before determining relationships to avoid confusion.
