for what value of a will 8 x 10^3 be 40 times larger than a x 10^2

3 answers

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

We are given that 8 x 10^3 is 40 times larger than a x 10^2.

In other words, we have the equation: 8 x 10^3 = 40(a x 10^2)

We can simplify this equation by canceling out the common factors of 10^3 and 10^2.

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

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

Then, dividing both sides of the equation by 40 and canceling out the common factor of 10^2, we get:

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

Simplifying further:

8 x 10^3 / 40 x 10^2 = a

8/40 = a

1/5 = a

Therefore, the value of a that satisfies the equation is a = 1/5.
are you sure
Apologies for the mistake. Let's re-evaluate the problem.

We are given that 8 x 10^3 is 40 times larger than a x 10^2.

In other words, we have the equation: 8 x 10^3 = 40(a x 10^2)

To simplify the equation, we can divide both sides by 40.

8 x 10^3 / 40 = a x 10^2

Simplifying further:

200 = a x 10^2

Next, divide both sides by 10^2 to isolate "a".

200 / 10^2 = a

200 / 100 = a

2 = a

Therefore, the value of "a" that satisfies the equation is a = 2.
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