Question

An investment is currently worth 1.2×107 dollars . Twenty years ago, the investment was worth ​ 9.6×105 ​ dollars. How many times greater is the value of the investment today than the value of the investment twenty years ago? 0.125 12.5 125 12,500

Answer 1

12.5

Explanation:

Let an old value be A

and a new value be B

Also, let B is greater than A

The number of times B is greater than A is found by dividing B by A

Now, in terms of scientific notation, how would we do the division? It is shown below:

`(a*10^b)/(z*10^y)=((a)/(z))*10^(b-y)`

Now, coming to our question, let's do the math using the statements and formulas we have seen above:

`(1.2*10^7)/(9.6*10^5)\\=((1.2)/(9.6))*10^(7-5)\\=0.125*10^2`

10^2 means 100, so we do the multiplication:

`0.125*10^2\\0.125*100\\12.5`

So, it is 12.5 times greater