for what value of a will 8 × 10 3 be 40 times larger than a × 10 2 ?(1 point)
To find the value of a, we can set up an equation:
8 × 10^3 = 40(a × 10^2)
We can simplify this equation:
8 × 1000 = 40a × 100
8000 = 4000a
Divide both sides of the equation by 4000:
a = 2
So, the value of a that makes 8 × 10^3 40 times larger than a × 10^2 is a = 2.
To find the value of "a" that will make 8 × 10^3 be 40 times larger than a × 10^2, we can set up an equation and solve for "a".
First, let's write down the given information:
8 × 10^3 = 40(a × 10^2)
To simplify, we can divide both sides of the equation by 40:
(8 × 10^3) / 40 = a × 10^2
Now, let's simplify the left side:
(8 × 1000) / 40 = a × 10^2
200 = a × 10^2
To isolate "a", we can divide both sides by 10^2:
200 / 10^2 = a
200 / 100 = a
2 = a
Therefore, the value of "a" that makes 8 × 10^3 be 40 times larger than a × 10^2 is 2.
To find the value of a, we can set up the equation:
8 × 10^3 = 40(a × 10^2)
First, we can simplify both sides by dividing them by 40:
(8 × 10^3) / 40 = a × 10^2
Next, we can simplify further:
(8000) / 40 = a × 10^2
200 = a × 10^2
To solve for a, divide both sides of the equation by 10^2:
200 / 10^2 = a
200 / 100 = a
2 = a
Therefore, the value of a is 2.