Question

what is 150 written in scientific notation?
a. $1.5 \times 10^3$
b. $1.5 \times 10^1$
c. $1.5 \times 10^2$
d. $1.5 \times 10^{-2}$

Explanation:

Step1: Recall scientific notation rules

Scientific notation is in the form \(a\times10^{n}\), where \(1\leq|a|\lt10\) and \(n\) is an integer.

Step2: Convert 150 to scientific notation

First, we move the decimal point in 150 to the left until we get a number between 1 and 10. For 150, moving the decimal point 2 places to the left gives us 1.5. Since we moved the decimal point 2 places to the left, the exponent \(n\) is 2. So, 150 in scientific notation is \(1.5\times10^{2}\).

Answer:

C. \(1.5\times 10^{2}\)