Question

Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer. 1 inch =1578x 10-5 miles

Answer 1

Answer: (7.129)*10^(7) inches.

Explanation:

We know that:

1 inch = 1.578*10^(-5) miles.

If we divide both sides by 1.578*10^(-5), we get:

(1/1.578*10^(-5)) inches = 1 mile

63,371.36 inches = 1 mile

Now, we have 1,225 miles, this is equal to 1,125 times 63,371.36 inches

Then 1,225 miles writen in inches is:

1,125*(63,371.36 inches) = 71,292,780 inches.

Now, to write this in scientific notation, we need to count the number of decimals between the first one at the left, and the decimal point.

In this case we have 7 decimals.

Now, let's take the first 4 decimals, (7129) and write a decimal point after the first one:

(7.129)

Now let's multiply this by then to the power of 7 (where 7 is the number of decimals we found above).

Then the scientific notation of 71,292,780 inches. is:

(7.129)*10^(7) inches.