Respuesta :
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 [tex]3.625 \times 10^{-8}[/tex] by 500, then reported his product in scientific notation.
To find: exponent in Sam’s product
Let us first multiply 500 with [tex]3.625 \times 10^{-8}[/tex]
[tex]3.625 \times 10^{-8} \times 500 = 1812.5 \times 10^{-8}[/tex]
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 [tex]1812.5 \times 10^{-8}[/tex] , we move the decimal 3 times to left side
Since the decimal is moved left side, we multiply by [tex]10^3[/tex]
[tex]1812.5 \times 10^{-8} = 1.8125 \times 10^3 \times 10^{-8} \\\\1812.5 \times 10^{-8} = 1.8125 \times 10^{-5}[/tex]
Exponent is a quantity representing the power to which a given number or expression is to be raised
So in [tex]1.8125 \times 10^{-5}[/tex] exponent is -5
