To find the value of a, we can set up the equation:
8 x 10^3 = 40 * (a x 10^2)
Simplifying both sides of the equation:
8 x 10^3 = 40a x 10^2
Since both terms have the same base (10) and equal bases are multiplied by adding their exponents, we can write the equation as:
8 x 10^(3-2) = 40a
8 x 10^1 = 40a
80 = 40a
Dividing both sides of the equation by 40:
a = 80/40
a = 2
So, the value of a that makes 8 x 10^3 40 times larger than a x 10^2 is a = 2.
For what value of a will 8 x 10^3 be 40 times larger than a x 10^2? (1 point)
1 answer