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
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 · (as we want to calculate how many inches is in 4050 miles we can calculate how many 1.578 · miles is there in 4050 miles as 1 inch = 1.578 · miles)
4.05 x 10³ since the bases are same the powers will subtract (i.e. 3-(-5) = 8)
1.578 ·
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
Similar questions