type the correct answer in each box.

light travels at a speed of $3.0 \times 10^8$ meters/second.

if you used a calculator to find the distance light travels in 4,500 seconds, you would get e .

Question

type the correct answer in each box.

light travels at a speed of $3.0 \times 10^8$ meters/second.

if you used a calculator to find the distance light travels in 4,500 seconds, you would get   e  .

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Scientific Notation Arithmetic" ], "new_concepts": [ "Calculator Scientific Notation" ], "current_concepts": [ "Scientific Notation Arithmetic", "Calculator Scientific Notation" ] } ## Calculate the distance using the speed formula $$ \begin{aligned} d &= v \cdot t \ d &= (3.0 \times 10^8\text{ m/s}) \cdot (4500\text{ s}) \end{aligned} $$ ## Perform the multiplication $$ \begin{aligned} d &= 3.0 \times 10^8 \times 4.5 \times 10^3 \ d &= 13.5 \times 10^{11} \ d &= 1.35 \times 10^{12} \end{aligned} $$ ## Convert to calculator scientific notation format $$ 1.35 \times 10^{12} \implies 1.35\text{ E }12 $$ If you used a calculator to find the distance light travels in 4,500 seconds, you would get 1.35 E 12. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Scientific Notation Arithmetic" ] }

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Question

Explanation:

Calculate the distance using the speed formula

Perform the multiplication

Convert to calculator scientific notation format

Answer: