Questions: Determine whether the given value is a solution of the given equation. z/100=0.002 ; z=2 Is 2 a solution to the equation z/100=0.002 ? No Yes

Transcript text: Determine whether the given value is a solution of the given equation. \[ \frac{z}{100}=0.002 ; z=2 \] Is 2 a solution to the equation $\frac{z}{100}=0.002 ?$ No Yes

Solution

Solution Steps

To determine if $ z = 2 $ is a solution to the equation $\frac{z}{100} = 0.002$, substitute $ z = 2 $ into the equation and check if both sides are equal. If they are equal, then $ z = 2 $ is a solution; otherwise, it is not.

Step 1: Substitute $ z = 2 $ into the Equation

Substitute $ z = 2 $ into the equation $\frac{z}{100} = 0.002$.

Step 2: Calculate the Left Side of the Equation

Calculate $\frac{2}{100}$: \[ \frac{2}{100} = 0.02 \]

Step 3: Compare Both Sides of the Equation

Compare the calculated value $0.02$ with the right side of the equation $0.002$.

Step 4: Determine if $ z = 2 $ is a Solution

Since $0.02 \neq 0.002$, $ z = 2 $ is not a solution to the equation.