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

Question

asked May 19, 2019 181k views

2 Answers

Shachar Shemesh · Answer 1 · 2019-05-23T15:09:57+0000

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.]