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Answer :
To determine which of the options have the same value as 40% of 84, let's go through the options step-by-step.
First, we need to find 40% of 84. The percentage calculation can be done by multiplying 84 by the decimal form of 40%.
1. Calculate 40% of 84:
[tex]\[
40\% \text{ of } 84 = 0.4 \times 84 = 33.6
\][/tex]
Now let's evaluate each option to see which ones match this result:
- Option A: [tex]\(40 \cdot 84\)[/tex]
This calculates to 3360, which is not equal to 33.6.
- Option B: [tex]\(0.4 \div 84\)[/tex]
This is dividing 0.4 by 84, resulting in a very small number, approximately 0.00476, which is not equal to 33.6.
- Option C: [tex]\(\frac{40}{100} \cdot 84\)[/tex]
This divides 40 by 100, converting the percentage to a decimal form which is the same as 0.4. Therefore, [tex]\((0.4 \times 84)\)[/tex] results in 33.6, matching our original calculation.
- Option D: [tex]\(84 \div 40\)[/tex]
This results in 2.1, which does not match 33.6.
- Option E: [tex]\(0.4 \cdot 84\)[/tex]
This directly calculates 40% of 84, resulting in 33.6, matching our original calculation.
The options that have the same value as 40% of 84 are C and E.
First, we need to find 40% of 84. The percentage calculation can be done by multiplying 84 by the decimal form of 40%.
1. Calculate 40% of 84:
[tex]\[
40\% \text{ of } 84 = 0.4 \times 84 = 33.6
\][/tex]
Now let's evaluate each option to see which ones match this result:
- Option A: [tex]\(40 \cdot 84\)[/tex]
This calculates to 3360, which is not equal to 33.6.
- Option B: [tex]\(0.4 \div 84\)[/tex]
This is dividing 0.4 by 84, resulting in a very small number, approximately 0.00476, which is not equal to 33.6.
- Option C: [tex]\(\frac{40}{100} \cdot 84\)[/tex]
This divides 40 by 100, converting the percentage to a decimal form which is the same as 0.4. Therefore, [tex]\((0.4 \times 84)\)[/tex] results in 33.6, matching our original calculation.
- Option D: [tex]\(84 \div 40\)[/tex]
This results in 2.1, which does not match 33.6.
- Option E: [tex]\(0.4 \cdot 84\)[/tex]
This directly calculates 40% of 84, resulting in 33.6, matching our original calculation.
The options that have the same value as 40% of 84 are C and E.
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