estimate the following product in scientific notation, and then select the best answer for the products power of 10.

$(8.91 \times 10^2)(3.3 \times 10^{12})$

$\bigcirc$ 2.7
$\bigcirc$ 14
$\bigcirc$ 15
$\bigcirc$ 27

Question

estimate the following product in scientific notation, and then select the best answer for the products power of 10.

$(8.91 \times 10^2)(3.3 \times 10^{12})$

$\bigcirc$ 2.7
$\bigcirc$ 14
$\bigcirc$ 15
$\bigcirc$ 27

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [], "current_concepts": [ "Scientific Notation", "Scientific Notation Estimation" ] } ## Multiply the coefficients and the powers of 10 $$ \begin{aligned} (8.91 \times 10^2)(3.3 \times 10^{12}) &= (8.91 \times 3.3) \times (10^2 \times 10^{12}) \ &= 29.403 \times 10^{14} \end{aligned} $$ ## Convert the product to standard scientific notation $$ \begin{aligned} 29.403 \times 10^{14} &= (2.9403 \times 10^1) \times 10^{14} \ &= 2.9403 \times 10^{15} \end{aligned} $$ ## Identify the power of 10 $$ \text{Power of 10} = 15 $$

2.7

14

15

27

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

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QUESTION IMAGE

Question

Explanation:

Multiply the coefficients and the powers of 10

Convert the product to standard scientific notation

Identify the power of 10

Answer: