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Answer :
To find which of the given options have the same value as [tex]\( 40\% \)[/tex] of 84, let's break it down step-by-step:
### Step 1: Calculate [tex]\( 40\% \)[/tex] of 84
To find [tex]\( 40\% \)[/tex] of 84, you can convert the percentage to a decimal and then multiply:
[tex]\[
40\% = \frac{40}{100} = 0.4
\][/tex]
[tex]\[
0.4 \times 84 = 33.6
\][/tex]
So, [tex]\( 40\% \)[/tex] of 84 is 33.6.
### Step 2: Verify Each Option
Now, let's check which of the given options is equal to 33.6.
Option (A): [tex]\( 40 \cdot 84 \)[/tex]
[tex]\[
40 \cdot 84 = 3360 \quad (\text{not equal to 33.6})
\][/tex]
Option (B): [tex]\( 0.4 \div 84 \)[/tex]
[tex]\[
0.4 \div 84 \approx 0.00476 \quad (\text{not equal to 33.6})
\][/tex]
Option (C): [tex]\( \frac{40}{100} \cdot 84 \)[/tex]
[tex]\[
\frac{40}{100} \cdot 84 = 0.4 \cdot 84 = 33.6 \quad (\text{equal to 33.6})
\][/tex]
Option (D): [tex]\( 84 \div 40 \)[/tex]
[tex]\[
84 \div 40 = 2.1 \quad (\text{not equal to 33.6})
\][/tex]
Option (E): [tex]\( 0.4 \cdot 84 \)[/tex]
[tex]\[
0.4 \cdot 84 = 33.6 \quad (\text{equal to 33.6})
\][/tex]
### Conclusion
The options that have the same value as [tex]\( 40\% \)[/tex] of 84 are:
- [tex]\(\frac{40}{100} \cdot 84\)[/tex] (Option C)
- [tex]\(0.4 \cdot 84\)[/tex] (Option E)
So, the correct answers are:
(C) [tex]\(\frac{40}{100} \cdot 84\)[/tex]
(E) [tex]\(0.4 \cdot 84\)[/tex]
### Step 1: Calculate [tex]\( 40\% \)[/tex] of 84
To find [tex]\( 40\% \)[/tex] of 84, you can convert the percentage to a decimal and then multiply:
[tex]\[
40\% = \frac{40}{100} = 0.4
\][/tex]
[tex]\[
0.4 \times 84 = 33.6
\][/tex]
So, [tex]\( 40\% \)[/tex] of 84 is 33.6.
### Step 2: Verify Each Option
Now, let's check which of the given options is equal to 33.6.
Option (A): [tex]\( 40 \cdot 84 \)[/tex]
[tex]\[
40 \cdot 84 = 3360 \quad (\text{not equal to 33.6})
\][/tex]
Option (B): [tex]\( 0.4 \div 84 \)[/tex]
[tex]\[
0.4 \div 84 \approx 0.00476 \quad (\text{not equal to 33.6})
\][/tex]
Option (C): [tex]\( \frac{40}{100} \cdot 84 \)[/tex]
[tex]\[
\frac{40}{100} \cdot 84 = 0.4 \cdot 84 = 33.6 \quad (\text{equal to 33.6})
\][/tex]
Option (D): [tex]\( 84 \div 40 \)[/tex]
[tex]\[
84 \div 40 = 2.1 \quad (\text{not equal to 33.6})
\][/tex]
Option (E): [tex]\( 0.4 \cdot 84 \)[/tex]
[tex]\[
0.4 \cdot 84 = 33.6 \quad (\text{equal to 33.6})
\][/tex]
### Conclusion
The options that have the same value as [tex]\( 40\% \)[/tex] of 84 are:
- [tex]\(\frac{40}{100} \cdot 84\)[/tex] (Option C)
- [tex]\(0.4 \cdot 84\)[/tex] (Option E)
So, the correct answers are:
(C) [tex]\(\frac{40}{100} \cdot 84\)[/tex]
(E) [tex]\(0.4 \cdot 84\)[/tex]
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