select the correct answer.

a computer program in shannons computer carries out a single mathematical operation in $1.5 \times 10^{-6}$ seconds. how much time would the program take to complete $2.5 \times 10^{3}$ mathematical operations?

$1.67 \times 10^{-9}$ seconds
$1.67 \times 10^{3}$ seconds
$6 \times 10^{-9}$ seconds
$3.75 \times 10^{-3}$ seconds

Question

select the correct answer.

a computer program in shannons computer carries out a single mathematical operation in $1.5 \times 10^{-6}$ seconds. how much time would the program take to complete $2.5 \times 10^{3}$ mathematical operations?

$1.67 \times 10^{-9}$ seconds
$1.67 \times 10^{3}$ seconds
$6 \times 10^{-9}$ seconds
$3.75 \times 10^{-3}$ seconds

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 Arithmetic", "Unit Rates" ], "new_concepts": [], "current_concepts": [ "Scientific Notation Arithmetic", "Unit Rates" ] } ## Set up the multiplication expression $$ T = (1.5 \times 10^{-6} \text{ seconds/operation}) \times (2.5 \times 10^3 \text{ operations}) $$ ## Multiply the coefficients and add the exponents $$ \begin{aligned} T &= (1.5 \times 2.5) \times 10^{-6 + 3} \ T &= 3.75 \times 10^{-3} \end{aligned} $$

(A) $1.67 \times 10^{-9}$ seconds

(B) $1.67 \times 10^3$ seconds

(C) $6 \times 10^{-9}$ seconds

(D) $3.75 \times 10^{-3}$ seconds

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

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Question

Explanation:

Set up the multiplication expression

Multiply the coefficients and add the exponents

Answer: