Question

question 7

convert \\(2.93 \times 10^{-5}\\) to decimal notation:

question 8

multiply:
\\((3 \times 10^5) (6 \times 10^9)\\)

\\(18 \times 10^{14}\\)
\\(5 \times 10^{-5}\\)
\\(9 \times 10^{14}\\)
\\(1.8 \times 10^{15}\\)

Explanation:

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<reasoning>

Convert to decimal notation

\[
2.93 \times 10^{-5} = 0.0000293
\]

Multiply the expressions

\[
(3 \times 10^5)(6 \times 10^9) = (3 \times 6) \times (10^5 \times 10^9) = 18 \times 10^{14}
\]

Convert to standard scientific notation

\[
18 \times 10^{14} = 1.8 \times 10^1 \times 10^{14} = 1.8 \times 10^{15}
\]
</reasoning>

<answer>

Question 7

Convert \(2.93 \times 10^{-5}\) to decimal notation: <blank>0.0000293</blank>

Question 8

<mcq-option>(A) \(18 \times 10^{14}\)</mcq-option>
<mcq-option>(B) \(5 \times 10^{-5}\)</mcq-option>
<mcq-option>(C) \(9 \times 10^{14}\)</mcq-option>
<mcq-correct>(D) \(1.8 \times 10^{15}\)</mcq-correct>
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Multi-part",
"knowledge_point": [
"Mathematics",
"Algebra",
"Scientific Notation"
]
}
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Answer:

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"step_cot",
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</pre_analysis>

<reasoning>

Convert to decimal notation

\[
2.93 \times 10^{-5} = 0.0000293
\]

Multiply the expressions

\[
(3 \times 10^5)(6 \times 10^9) = (3 \times 6) \times (10^5 \times 10^9) = 18 \times 10^{14}
\]

Convert to standard scientific notation

\[
18 \times 10^{14} = 1.8 \times 10^1 \times 10^{14} = 1.8 \times 10^{15}
\]
</reasoning>

<answer>

Question 7

Convert \(2.93 \times 10^{-5}\) to decimal notation: <blank>0.0000293</blank>

Question 8

<mcq-option>(A) \(18 \times 10^{14}\)</mcq-option>
<mcq-option>(B) \(5 \times 10^{-5}\)</mcq-option>
<mcq-option>(C) \(9 \times 10^{14}\)</mcq-option>
<mcq-correct>(D) \(1.8 \times 10^{15}\)</mcq-correct>
</answer>

<post_analysis>
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"subject": "Mathematics",
"question_type": "Multi-part",
"knowledge_point": [
"Mathematics",
"Algebra",
"Scientific Notation"
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