For what value of a will 8 x10^3 be 40 times larger than a x 10^2?

Answer 1

To find the value of a that makes 8 x 10^3 40 times larger than a x 10^2, we can set up the equation:

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

We can simplify this equation by dividing both sides by 40:

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

To simplify the left side of the equation, we can divide 8 x 10^3 by 40, which gives us 200. Therefore:

200 = a x 10^2

We can further simplify this equation by dividing both sides by 10^2:

200 / 10^2 = a

The value of 10^2 is 100, so:

200 / 100 = a

Simplifying the division gives us:

2 = a

Therefore, the value of a that makes 8 x 10^3 40 times larger than a x 10^2 is 2.