Question

numeric 1 point write the value in standard form: 1.25 x 10^-2 answer multiple choice 1 point which of the following expresses the value 36150 in scientific notation? 3.615 x 10^-4 36.15 x 10^3 3.615 x 10^4 36.15 x 10^-3

Explanation:

Step1: Convert scientific - notation to standard form

For $1.25\times10^{-2}$, since the exponent of 10 is - 2, we move the decimal point 2 places to the left. So $1.25\times10^{-2}=0.0125$.

Step2: Convert number to scientific - notation

For the number 36150, to write it in scientific notation $a\times10^{n}$, where $1\leqslant|a|\lt10$. We move the decimal point 4 places to the left, so $a = 3.615$ and $n = 4$. Thus $36150=3.615\times10^{4}$.

Answer:

1. $0.0125$
2. C. $3.615\times10^{4}$