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Byron wants to calculate [tex]$24\%$[/tex] of [tex]$\$170$[/tex]. Which calculation could Byron use?

A. [tex]$0.24 \times 170$[/tex]
B. [tex]$24 \times 170$[/tex]
C. [tex]$170 \div 0.24$[/tex]

Answer :

To find 24% of [tex]$170, you need to multiply the amount by the percentage expressed as a decimal. Here's how you can do it step-by-step:

1. Convert the percentage to a decimal:
The percentage you want is 24%. To convert a percentage to a decimal, divide it by 100.
\[
24\% = \frac{24}{100} = 0.24
\]

2. Multiply the decimal by the amount:
Now, multiply the decimal value (0.24) by the total amount ($[/tex]170) to find 24% of [tex]$170.
\[
0.24 \times 170
\]

3. Calculate the result:
When you perform the multiplication, you get:
\[
0.24 \times 170 = 40.8
\]

So, 24% of $[/tex]170 is [tex]$40.80.

Now, let's match this calculation to the options given:

- Option A: \(0.24 \times 170\) is the correct calculation.
- Option B: \(24 \times 170\) is incorrect because it doesn't convert the percentage into a decimal.
- Option C: \(170 \div 0.24\) is incorrect because dividing by 0.24 doesn't help in finding a percentage of the total.

Therefore, Byron should use Option A: \(0.24 \times 170\) to correctly calculate 24% of $[/tex]170.

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