For what value of a will 8 × 10^3 be 40 times larger than a × 10^2 (1 point)

1 answer

To determine the value of a, we need to set up the equation and solve for a.

The equation is: 8 × 10^3 = 40(a × 10^2)

We can simplify this equation:

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

To simplify further, we can divide both sides of the equation by 40 × 10^2:

(8 × 10^3) / (40 × 10^2) = a

We can simplify the left side of the equation:

(8/40) × (10^3/10^2) = a
(1/5) × 10^(3-2) = a
(1/5) × 10^1 = a
1/5 × 10 = a
2 = a

Therefore, the value of a is 2.