For what value of X will 8×10^3 be 40 times larger than X×10^2?
To find the value of X, we can set up the equation:
8×10^3 = 40(X×10^2)
First, let's simplify the right side of the equation:
8×10^3 = 40X×10^2
8×10^3 = 40×10^2·X
Using the properties of exponents, we can rewrite the equation as:
8×10^3 = (40×10^2)×X
8×10^3 = 4000X
Now we can solve for X by dividing both sides of the equation by 4000:
(8×10^3) / 4000 = (4000X) / 4000
2 = X
Therefore, the value of X that will make 8×10^3 forty times larger than X×10^2 is X = 2.
To find the value of X, we can set up an equation based on the given information.
We are given that 8 × 10^3 is 40 times larger than X × 10^2. Mathematically, we can write this as:
8 × 10^3 = 40 × (X × 10^2)
Simplifying this equation, we can divide both sides by 40 to isolate X:
(8 × 10^3)/40 = X × 10^2
Simplifying further, we can divide 8 × 10^3 by 40:
(8 × 10^3)/40 = 200
Thus, X is equal to 200.
To find the value of X in the given equation: 8 × 10^3 = 40 × (X × 10^2), we can solve the equation step by step.
First, let's simplify the equation by dividing both sides by 40:
(8 × 10^3) ÷ 40 = (40 × (X × 10^2)) ÷ 40
This simplifies to:
200 = X × 10^2
Next, divide both sides of the equation by 10^2 to isolate X:
200 ÷ 10^2 = (X × 10^2) ÷ 10^2
This simplifies to:
2 = X
Therefore, the value of X that satisfies the equation is X = 2.