Question

which of the following options have the same value as 10% of 33?
choose 3 answers:
a 0.1·0.33
b 10·33
c \\(\frac{1}{10}·33\\)
d 0.1·33
e \\(\frac{10}{100}·33\\)

Explanation:

Step1: Calculate 10% of 33

10% can be written as \( \frac{10}{100} = 0.1=\frac{1}{10} \). So, 10% of 33 is \( 0.1\times33 \) or \( \frac{1}{10}\times33 \) or \( \frac{10}{100}\times33 \).

Step2: Analyze Option A

Option A: \( 0.1\times0.33 \). This is not equal to \( 0.1\times33 \), so A is incorrect.

Step3: Analyze Option B

Option B: \( 10\times33 \). This is much larger than \( 0.1\times33 \), so B is incorrect.

Step4: Analyze Option C

Option C: \( \frac{1}{10}\times33 \). This is equal to 10% of 33, so C is correct.

Step5: Analyze Option D

Option D: \( 0.1\times33 \). This is equal to 10% of 33, so D is correct.

Step6: Analyze Option E

Option E: \( \frac{10}{100}\times33 \). This is equal to 10% of 33, so E is correct.

Answer:

C. \( \frac{1}{10} \cdot 33 \), D. \( 0.1 \cdot 33 \), E. \( \frac{10}{100} \cdot 33 \)