what is the value of $(5.3 \times 10^4)(4.2 \times 10^3)$ in scientific notation?

$2.226 \times 10^8$
$22.26 \times 10^7$
$2.226 \times 10^8$
$22.26 \times 10^{12}$

Question

what is the value of $(5.3 \times 10^4)(4.2 \times 10^3)$ in scientific notation?

$2.226 \times 10^8$
$22.26 \times 10^7$
$2.226 \times 10^8$
$22.26 \times 10^{12}$

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", "Exponent Rules" ], "new_concepts": [], "current_concepts": [ "Scientific Notation", "Exponent Rules" ] } ## Multiply the coefficients and the powers of ten $$ \begin{aligned} (5.3 \times 10^4)(4.2 \times 10^3) &= (5.3 \times 4.2) \times (10^4 \times 10^3) \ &= 22.26 \times 10^{4+3} \ &= 22.26 \times 10^7 \end{aligned} $$ ## Convert to standard scientific notation $$ \begin{aligned} 22.26 \times 10^7 &= (2.226 \times 10^1) \times 10^7 \ &= 2.226 \times 10^8 \end{aligned} $$

(A) $2.226 \times 10^6$

(B) $22.26 \times 10^7$

(C) $2.226 \times 10^8$

(D) $22.26 \times 10^{12}$

{ "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 ten

Convert to standard scientific notation

Answer: