a cell phone weighs about (2.8 imes 10^n) pounds. which value of (n) is most reasonable?

-3
-1
0
1

Question

a cell phone weighs about (2.8 	imes 10^n) pounds. which value of (n) is most reasonable?

-3
-1
0
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 Estimation", "Units of Measurement" ], "new_concepts": [], "current_concepts": [ "Scientific Notation Estimation", "Units of Measurement" ] } ## Estimate the weight of a cell phone in pounds $$ \text{Typical cell phone weight} \approx 0.3 \text{ to } 0.5 \text{ pounds} $$ ## Evaluate the given scientific notation options $$ \begin{aligned} n = -3 &\implies 2.8 \times 10^{-3} = 0.0028 \text{ pounds} \ n = -1 &\implies 2.8 \times 10^{-1} = 0.28 \text{ pounds} \ n = 0 &\implies 2.8 \times 10^{0} = 2.8 \text{ pounds} \ n = 1 &\implies 2.8 \times 10^{1} = 28 \text{ pounds} \end{aligned} $$ ## Select the most reasonable value for n $$ 0.28 \text{ pounds is closest to the actual weight of a cell phone, so } n = -1 $$

(A) $-3$

(B) $-1$

(C) $0$

(D) $1$

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

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Question

Explanation:

Estimate the weight of a cell phone in pounds

Evaluate the given scientific notation options

Select the most reasonable value for n

Answer: