solve the next problem and express the results in scientific notation

\frac{(60,000,000)(0.00002)}{(13,700)(0.006)}

\bigcirc 1.5 \times 10^{4}
\bigcirc 2 \times 10^{1}
\bigcirc 1.5 \times 10^{1}

Question

solve the next problem and express the results in scientific notation

\frac{(60,000,000)(0.00002)}{(13,700)(0.006)}

\bigcirc 1.5 \times 10^{4}
\bigcirc 2 \times 10^{1}
\bigcirc 1.5 \times 10^{1}

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Scientific Notation" ], "new_concepts": [], "current_concepts": [ "Scientific Notation", "Exponent Rules" ] } ## Convert numbers to scientific notation $$ \begin{aligned} 60,000,000 &= 6 \times 10^7 \ 0.00002 &= 2 \times 10^{-5} \ 13,700 &= 1.37 \times 10^4 \ 0.006 &= 6 \times 10^{-3} \end{aligned} $$ ## Simplify numerator and denominator $$ \begin{aligned} \text{Numerator} &= (6 \times 10^7)(2 \times 10^{-5}) = 12 \times 10^2 \ \text{Denominator} &= (1.37 \times 10^4)(6 \times 10^{-3}) = 8.22 \times 10^1 \end{aligned} $$ ## Divide and normalize $$ \begin{aligned} \frac{12 \times 10^2}{8.22 \times 10^1} &\approx 1.4598 \times 10^1 \approx 1.5 \times 10^1 \end{aligned} $$

(A) $1.5 \times 10^4$

(B) $2 \times 10^1$

(C) $1.5 \times 10^1$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Scientific Notation" ] }

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QUESTION IMAGE

Question

Explanation:

Convert numbers to scientific notation

Simplify numerator and denominator

Divide and normalize

Answer: