Question

Find the product and express it in scientific notation. 3.1 x 10-4 x 8.5 x 10-2

Answer 1

3.1x10^-4= 0.00031
8.5x10^-2= 0.085
.00031*.085= 0.000026
0.000026= 2.6x10^-5

Answer 2

Answer:
`2.635*10^(-5)`

Explanation:

The given expression :
`3.1*10^(-4)*8.5*10^(-2)`

To solve it , we first combine decimal numbers together, we get

`3.1*10^(-4)*8.5*10^(-2)= 3.1*8.5*10^(-4)*10^(-2)`

`=26.35*10^(-4+(-2))\ \ [\because\ a^n* a^n=a^(m+n)]`

`=26.35*10^(-4-2))\ \ [\because\ (+)(-)=(-)]`

`=26.35*10^(-(4+2)))\ \ [\because\ -a-b=-(a+b)]`

`=26.35*10^(-6)\ \ [\because\ -a-b=-(a+b)]`

`=2.635*10^(-6+1)` [∵In scientific notation the decimal number has only one number at the left-side of the decimal.]

`2.635*10^(-5)`

Hence, the answer is
`2.635*10^(-5)`. [In scientific notation.]