Question

simplify by using the order of operations.

(10.49 - (15.21 - 13.91)^2 = \square)

Explanation:

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</pre_analysis>

<reasoning>

Subtract inside the parentheses

\[
15.21 - 13.91 = 1.3
\]

Evaluate the exponent

\[
(1.3)^2 = 1.69
\]

Subtract from the first term

\[
10.49 - 1.69 = 8.8
\]
</reasoning>

<answer>
Simplify by using the order of operations.
\[10.49 - (15.21 - 13.91)^2 =\] <blank>\(8.8\)</blank>
</answer>

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"subject": "Mathematics",
"question_type": "Fill-in-the-blank",
"knowledge_point": [
"Mathematics",
"Algebra",
"Order of Operations"
]
}
</post_analysis>

Answer:

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</pre_analysis>

<reasoning>

Subtract inside the parentheses

\[
15.21 - 13.91 = 1.3
\]

Evaluate the exponent

\[
(1.3)^2 = 1.69
\]

Subtract from the first term

\[
10.49 - 1.69 = 8.8
\]
</reasoning>

<answer>
Simplify by using the order of operations.
\[10.49 - (15.21 - 13.91)^2 =\] <blank>\(8.8\)</blank>
</answer>

<post_analysis>
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"Mathematics",
"Algebra",
"Order of Operations"
]
}
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