for what value of a will 8* 10 ^3 be 40 time larger than a *10^2 unit 4 lesson 13 math unit test

Answer 1

To find the value of 'a', we can set up the equation:

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

Simplifying the equation:

8 * 10^3 = 40 * a * 10^2

Now, we can divide both sides of the equation by 40 * 10^2 to isolate 'a':

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

Simplifying further:

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

(8 * 10^3) / (4 * 10^3) = a

2 * 10^0 = a

Hence, the value of 'a' is 2.