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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.
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.
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