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Select all that apply.

Which of the following could you use to find [tex]$40 \%$[/tex] of 32?

A. [tex]\frac{2}{5} \cdot 32[/tex]
B. [tex]0.4 \cdot 32[/tex]
C. [tex]\frac{40}{100} \cdot 32[/tex]
D. [tex]\frac{32}{40}[/tex]

Answer :

To find 40% of 32, we can use several mathematical expressions to calculate this. Let's go through the options given:

1. [tex]\(\frac{2}{5} \cdot 32\)[/tex]:
- Convert 40% into a fraction: 40% = [tex]\(\frac{40}{100}\)[/tex].
- Simplify [tex]\(\frac{40}{100}\)[/tex] to [tex]\(\frac{2}{5}\)[/tex].
- Multiply: [tex]\(\frac{2}{5} \cdot 32 = 12.8\)[/tex].

2. [tex]\(0.4 \cdot 32\)[/tex]:
- Convert 40% into a decimal: 40% = 0.4.
- Multiply: [tex]\(0.4 \cdot 32 = 12.8\)[/tex].

3. [tex]\(\frac{40}{100} \cdot 32\)[/tex]:
- This is another way to represent 40%: [tex]\(\frac{40}{100}\)[/tex].
- Multiply: [tex]\(\frac{40}{100} \cdot 32 = 12.8\)[/tex].

4. [tex]\(\frac{32}{40}\)[/tex]:
- This does not represent finding 40% of 32. Instead, this fraction represents dividing 32 by 40, which does not yield the correct percentage value we are looking for.

Based on these calculations, the expressions that successfully give us 40% of 32 are:
- [tex]\(\frac{2}{5} \cdot 32\)[/tex]
- [tex]\(0.4 \cdot 32\)[/tex]
- [tex]\(\frac{40}{100} \cdot 32\)[/tex]

These three methods correctly calculate 40% of 32, resulting in 12.8.