Question

11. What is the product of 4.5 x 105 and 2.4 x 10-2?

Answer 1

You have the following product:

`4.5*10^5*2.4*10^(-2)`

To simplify the previous expression, multiply the coefficients 4.5 and 2.4 and multiply the 10 factors by using the properties of exponents:

`4.5*10^5*2.4*10^(-2)=(4.5*2.4)*10^(5-2)=10.8*10^3`

10.8 can be written as 1.08*10, then, you can write the previous result as follow:

`10.8*10^3=1.08*10*10^3=1.08*10^4`

Hence, the answer is 1.08*10^4