for what value of b will 6x10^3 be 20 times larger than bx10^2
To find the value of b, we can set up the equation:
6 x 10^3 = 20(b x 10^2)
First, simplify the equation:
6 x 10^3 = 20b x 10^2
Divide both sides by 20:
(6 x 10^3) / 20 = b x 10^2
Simplify further:
300 = b x 10^2
Now, divide both sides by 10^2:
300 / 10^2 = b
300 / 100 = b
3 = b
Therefore, the value of b is 3.
To find the value of b, we can set up an equation based on the given information.
Let b be the value we are trying to find.
According to the problem, 6x10^3 is 20 times larger than bx10^2.
Mathematically, we can express this as:
6 x 10^3 = 20 * (b x 10^2)
Now, let's simplify this equation step by step:
6 x 10^3 = 20b x 10^2
Divide both sides of the equation by 20:
(6 x 10^3) / 20 = b x 10^2
Simplify the left side of the equation:
(6 x 10^3) / 20 = 300
Now, we can write:
300 = b x 10^2
Divide both sides of the equation by 10^2:
300 / (10^2) = b
Simplify:
300 / 100 = b
3 = b
Therefore, the value of b is 3.
To find the value of b, we can set up an equation based on the given information.
The problem states that 6x10^3 is 20 times larger than bx10^2.
Mathematically, we can express this as:
6x10^3 = 20(bx10^2)
Now, let's simplify the equation:
6x10^3 = 20bx10^2
First, let's simplify 20b:
20bx10^2 = 200bx10^2
Now, our equation becomes:
6x10^3 = 200bx10^2
To solve for b, we can divide both sides of the equation by 200x10^2:
(6x10^3) / (200x10^2) = b
We can simplify further:
(6/200) x (10^3 / 10^2) = b
Now, let's evaluate each part separately:
(6/200) = 0.03
(10^3 / 10^2) = 10^(3-2) = 10^1 = 10
Therefore, the equation simplifies to:
0.03 x 10 = b
b = 0.3
So, the value of b that would make 6x10^3 twenty times larger than bx10^2 is b = 0.3.