for what value of a will 8x10*3 be 40 times larger than a x10*2

1 answer

To solve for the value of "a" where 8 × 10^3 is 40 times larger than a × 10^2, we can set up an equation.

Let's represent "a × 10^2" as the smaller quantity. The statement that "8 × 10^3 is 40 times larger than a × 10^2" can be translated into the following equation:

8 × 10^3 = 40 × (a × 10^2)

Now, we will solve for "a":

8000 = 40 × (a × 100)

To simplify the equation, let's divide both side by 40:

200 = a × 100

Dividing by 100 to isolate "a":

a = 200 / 100

a = 2

Therefore, the value of "a" for which 8 × 10^3 is 40 times larger than a × 10^2 is a = 2.