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

Answer 1

To find the value of a, we can set up an equation based on the given information.

We know that 8 × 10^3 is 40 times larger than a × 10^2.

This can be written as:

8 × 10^3 = 40(a × 10^2)

Now, let's simplify the equation by multiplying 40 with a × 10^2:

8 × 10^3 = 40a × 10^2

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

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

This simplifies to:

8 × 10 = 40a

Now, we can divide both sides of the equation by 8:

(8 × 10) / 8 = (40a) / 8

This simplifies to:

10 = 5a

Finally, dividing both sides by 5, we find:

10 / 5 = 5a / 5

This simplifies to:

2 = a

Therefore, the value of a is 2.