Question

If 3.0147 * 10^n=3,014,700,000 then n =
a) 8
b) 7
c) 9
d) 10

Answer 1

The value of n that satisfies the equation 'If 3.0147 * 10^n=3,014,700,000' is 8, since we need 10 raised to the power of 8 to shift the decimal 6 places to the right.

Step-by-step explanation:

To solve the equation If 3.0147 * 10^n=3,014,700,000, we need to determine the value of n. Scientific notation is written with one non-zero digit to the left of the decimal point, multiplied by 10 raised to an exponent. The number 3,014,700,000 is equal to 3.0147 followed by 6 additional zeroes. To get from 3.0147 to 3,014,700,000, we need to multiply by 10 raised to the power that gives us 6 more digits to the right, which would be 108. Therefore, the exponent n is 8.