Math, asked by vancejjohnson60, 1 month ago

Use scientific notation to estimate the number of inches in 4,050 miles. Include all calculations in your final answer.

1 inch ≈ 1.578 · 10 -5 miles.

Answers

Answered by ChemistryEnthusiast
2

Answer:

2.567 · 10⁸ inches

Step-by-step explanation:

We can write 4050 miles as 4.05 x 10³ miles.

We can divide 4.05 x 10³ by 1.578 · 10^{-5} (as we want to calculate how many inches is in 4050 miles we can calculate how many 1.578 · 10^{-5} miles is there in 4050 miles as 1 inch = 1.578 · 10^{-5} miles)

4.05 x 10³   since the bases are same the powers will subtract (i.e. 3-(-5) = 8)

1.578 · 10^{-5}

We get:

4.05 x 10⁸

1.578

(4050/1000 x  1000/1578) x 10⁸

(4050 x 1/1578) x 10⁸

2.566539923954372623574144486692 x 10⁸

Which can also be written as (after rounding off) =>  2.567 · 10⁸ inches

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