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

Answer:

12.5

Step-by-step 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:

$\frac{a*10^b}{z*10^y}=(\frac{a}{z})*10^{b-y}$

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

$\frac{1.2*10^7}{9.6*10^5}\\=(\frac{1.2}{9.6})*10^{7-5}\\=0.125*10^2$

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