for what value of a will 8x10^3 be 40 times larger than ax10^4

1 answer

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

8x10^3 = 40(ax10^4)

First, simplify the equation on the right side by multiplying 40a and 10^4:

8x10^3 = 400ax10^4

Next, divide both sides of the equation by 10^3:

8 = 400a

Finally, solve for a by dividing both sides by 400:

a = 8/400

a = 0.02

Therefore, the value of a is 0.02.