could someone help me with math?

Question

Simplify this expression, and enter your answer in scientific notation:

(9×10^5) (8×10^−7)/3×10^−1

Answer 1

Multiplication/Division can be done in any order. Therefore you can rewrite this as:

 

(9x8/3)x(10⁵x10^-7/10^-1)

 

First Term: 9x8=72 and 72/3=24

 

Second Term: We can add the exponents when multiplying and subtract when dividing since all terms have the same base (10). So:

 

10⁵x10^-7/10^-1=10^5+(-7)-(-1)=10^-1

 

We have now 24x10^-1. However, for scientific notation the first term needs to be greater than or equal to 1 and less then 10. Therefore we need to divide 24 by 10, and multiply our second term by 10 to account for this. We end up with:

 

2.4x10^-1x10¹2.4x10^-1+1=2.4x10⁰