which number is written in scientific notation?

$4.5 \times 10^{-3}$
$14.5 \times 10^{2}$
$0.78 \times 10^{-6}$
$5.7 \times 4^{8}$

Question

which number is written in scientific notation?

$4.5 \times 10^{-3}$
$14.5 \times 10^{2}$
$0.78 \times 10^{-6}$
$5.7 \times 4^{8}$

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": [ "Scientific Notation" ], "current_concepts": [ "Scientific Notation" ] } ## Define the standard form of scientific notation $$ a \times 10^n, \quad \text{where } 1 \le |a| < 10 \text{ and } n \text{ is an integer} $$ ## Evaluate each given option against the definition $$ \begin{aligned} &4.5 \times 10^{-3}: \quad 1 \le 4.5 < 10 \quad \text{(Valid)} \ &14.5 \times 10^2: \quad 14.5 \ge 10 \quad \text{(Invalid)} \ &0.78 \times 10^{-6}: \quad 0.78 < 1 \quad \text{(Invalid)} \ &5.7 \times 4^8: \quad \text{Base is } 4 \text{ instead of } 10 \quad \text{(Invalid)} \end{aligned} $$ ## Identify the correct option $$ 4.5 \times 10^{-3} $$

(A) $4.5 \times 10^{-3}$

(B) $14.5 \times 10^2$

(C) $0.78 \times 10^{-6}$

(D) $5.7 \times 4^8$

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

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QUESTION IMAGE

Question

Explanation:

Define the standard form of scientific notation

Evaluate each given option against the definition

Identify the correct option

Answer: