Question:
In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5
Answer:
OPTION D
The exponent in Sam’s product is -5
Solution:
Given that,
In math class, Sam correctly multiplied by 500, then reported his product in scientific notation.
To find: exponent in Sam’s product
Let us first multiply 500 with
Then Sam has reported this answer in scientific notation
Lets understand what is scientific notation of any number.
Scientific notation is a way of representing number between 1 and 10 incluing 1 and excluding 10 multiplied by appropriate power of 10.
Let us rewrite the Sam's answer in scientific notation
The format for writing a number in scientific notation is:
(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).
In , we move the decimal 3 times to left side
Since the decimal is moved left side, we multiply by
Exponent is a quantity representing the power to which a given number or expression is to be raised
So in exponent is -5