For what value of a will 8×103 be 40 times larger than a×102 ?

1 answer

Let's set up the equation.
We know that 8×10^3 is 40 times larger than a×10^2.
So we can write:
8×10^3 = 40(a×10^2)
Simplifying the equation, we get:
8×10^3 = 40a×10^2
Dividing both sides by 10^2, we get:
8×10 = 40a
Multiplying 8 by 10, we get:
80 = 40a
Dividing both sides by 40, we get:
a = 2
Therefore, when a=2, 8×10^3 is 40 times larger than a×10^2.