Answer: The number of inches in 1225 miles is [tex]7.763\times 10^7[/tex]
Step-by-step explanation:
Scientific notation is defined as the representation of expressing the numbers that are too big or too small and are represented in the decimal form with one digit before the decimal point times 10 raise to the power.
Example: 3000 is written as [tex]3.0\times 10^3[/tex]
Given : [tex]1.578\times 10^{-5}[/tex] miles = 1 inch
Thus 1 mile = [tex]\frac{1}{1.578\times 10^{-5}}=0.634\times 10^5[/tex] inches
1225 miles = [tex]\frac{0.634\times 10^5}{1}\times 1225=776.3\times 10^{5}=7.763\times 10^7[/tex] inches