Question

question 10 (1 point)

which expression is not equivalent to the others?

0.48
480%
12/25
48%

Explanation:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Decimal to Fraction Conversion",
"Decimal to Percent Conversion",
"Percent to Decimal Conversion",
"Percent to Fraction Conversion"
],
"new_concepts": [],
"current_concepts": [
"Decimal to Fraction Conversion",
"Decimal to Percent Conversion",
"Percent to Decimal Conversion",
"Percent to Fraction Conversion",
"Equivalent Numbers"
]
}
</pre_analysis>

<reasoning>

Convert all values to decimals

\[

$$\begin{aligned} &0.48 = 0.48 \\ &480\% = \frac{480}{100} = 4.8 \\ &\frac{12}{25} = \frac{12 \times 4}{25 \times 4} = \frac{48}{100} = 0.48 \\ &48\% = \frac{48}{100} = 0.48 \end{aligned}$$

\]

Compare the decimal values

\[
0.48 = \frac{12}{25} = 48\%
e 480\%
\]
</reasoning>

<answer>
<mcq-option>(A) 0.48</mcq-option>
<mcq-correct>(B) 480%</mcq-correct>
<mcq-option>(C) 12/25</mcq-option>
<mcq-option>(D) 48%</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Decimal to Percent Conversion"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"multiple_choice_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Decimal to Fraction Conversion",
"Decimal to Percent Conversion",
"Percent to Decimal Conversion",
"Percent to Fraction Conversion"
],
"new_concepts": [],
"current_concepts": [
"Decimal to Fraction Conversion",
"Decimal to Percent Conversion",
"Percent to Decimal Conversion",
"Percent to Fraction Conversion",
"Equivalent Numbers"
]
}
</pre_analysis>

<reasoning>

Convert all values to decimals

\[

$$\begin{aligned} &0.48 = 0.48 \\ &480\% = \frac{480}{100} = 4.8 \\ &\frac{12}{25} = \frac{12 \times 4}{25 \times 4} = \frac{48}{100} = 0.48 \\ &48\% = \frac{48}{100} = 0.48 \end{aligned}$$

\]

Compare the decimal values

\[
0.48 = \frac{12}{25} = 48\%
e 480\%
\]
</reasoning>

<answer>
<mcq-option>(A) 0.48</mcq-option>
<mcq-correct>(B) 480%</mcq-correct>
<mcq-option>(C) 12/25</mcq-option>
<mcq-option>(D) 48%</mcq-option>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Multiple Choice",
"knowledge_point": [
"Mathematics",
"Algebra",
"Decimal to Percent Conversion"
]
}
</post_analysis>