For what value of a will 8×103 be 40 times larger than a×102 ?(1 point)
To find the value of "a," we can set up an equation based on the given information.
8×10^3 = 40(a×10^2)
Simplifying the equation, we get:
8×10^3 = 40a×10^2
Dividing both sides of the equation by 40, we have:
(8×10^3) / 40 = (40a×10^2) / 40
200 = a×10^2
To isolate "a," we divide both sides of the equation by 10^2:
a = 200 / 10^2
a = 200 / 100
a = 2
Therefore, the value of "a" is 2.
To find the value of a, we can set up an equation based on the given information.
We are told that 8×10^3 is 40 times larger than a×10^2.
Let's write this in mathematical terms:
8×10^3 = 40(a×10^2)
We can simplify this equation by multiplying out the terms:
8×10^3 = 40a×10^2
Now, let's simplify further by dividing both sides of the equation by 10^2:
(8×10^3) / (10^2) = (40a×10^2) / (10^2)
On the left side, 10^3 can be written as 10^2 × 10^1 because dividing by a power of 10 is the same as moving the decimal point to the left. So, we have:
8 × (10^2 × 10^1) = 40a
Multiplying the terms inside the parentheses:
8 × 10^3 = 40a
Finally, we can divide both sides of the equation by 8 to solve for a:
(8 × 10^3) / 8 = (40a) / 8
After simplifying, we get:
10^3 = 5a
10^3 is equal to 1000, so we have:
1000 = 5a
Now, divide both sides of the equation by 5:
1000 / 5 = (5a) / 5
After simplifying, we get:
200 = a
Therefore, the value of a that satisfies the given condition is 200.
To find the value of a, we can set up an equation based on the information given.
We know that 8×103 is 40 times larger than a×102.
So, let's write that as an equation:
8×103 = 40 * (a×102)
To solve for a, we need to simplify the equation.
First, let's simplify the right side of the equation:
40 * (a×102) = 40 * a * (10^2) = 4000a
Now our equation looks like this:
8×103 = 4000a
To solve for a, we can divide both sides of the equation by 4000:
(8×103) / 4000 = a
Now, let's compute the left side of the equation:
8000 / 4000 = a
Finally, we can simplify the equation:
2 = a
Therefore, the value of a that will make 8×103 forty times larger than a×102 is 2.