for what value of a will 8x10^3 be 40 times larger then a x 10^2

1 answer

To find the value of "a" that makes 8x10^3 forty times larger than "a" x 10^2, we can set up the equation:

8x10^3 = 40(a x 10^2)

First, simplify the equation:

8x10^3 = 40ax10^2

Next, divide both sides by 40:

(8x10^3)/40 = ax10^2

200 = ax10^2

Now divide both sides by 10^2:

200/(10^2) = a

200/100 = a

2 = a

So, the value of "a" is 2.