Question

question 47
1 pts
round off the following decimal to the nearest hundredth.
2.457 = ______

Explanation:

<pre_analysis>
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"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
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"concepts_used": [
"Decimal Rounding",
"Rounding Decimals"
],
"new_concepts": [],
"current_concepts": [
"Decimal Rounding",
"Rounding Decimals"
]
}
</pre_analysis>

<reasoning>

Identify the target place value

\[
\text{Target digit (hundredths place)} = 5
\]

Examine the digit to the right

\[
\text{Digit in thousandths place} = 7
\]

Apply rounding rules

\[
7 \ge 5 \implies 2.457 \approx 2.46
\]
</reasoning>

<answer>
Round off the following decimal to the nearest hundredth.

\(2.457 =\) <blank>2.46</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Decimal Rounding"
]
}
</post_analysis>

Answer:

<pre_analysis>
{
"quality": "clear",
"question_count": 1,
"skills_matched": [
"step_cot",
"blank_filling_formatter",
"explain_then_answer",
"quick"
],
"needs_drawing": false,
"concepts_used": [
"Decimal Rounding",
"Rounding Decimals"
],
"new_concepts": [],
"current_concepts": [
"Decimal Rounding",
"Rounding Decimals"
]
}
</pre_analysis>

<reasoning>

Identify the target place value

\[
\text{Target digit (hundredths place)} = 5
\]

Examine the digit to the right

\[
\text{Digit in thousandths place} = 7
\]

Apply rounding rules

\[
7 \ge 5 \implies 2.457 \approx 2.46
\]
</reasoning>

<answer>
Round off the following decimal to the nearest hundredth.

\(2.457 =\) <blank>2.46</blank>
</answer>

<post_analysis>
{
"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Decimal Rounding"
]
}
</post_analysis>