Final answer:
To solve for the missing number in the equation (200-?)x200=200, we need to perform inverse operations to isolate the variable. By dividing by 200 and subtracting 200, we find that the missing number is 199.
Step-by-step explanation:
To solve for the missing number in the equation (200-?)x200=200, we need to isolate the variable by performing the inverse operation. In this case, since the missing number is being subtracted from 200 and then multiplied by 200, we need to perform the inverse operations of multiplication and subtraction.
We can start by dividing both sides of the equation by 200 to isolate the expression (200-?).
- Divide both sides of the equation by 200: (200-?)x200/200 = 200/200
- Simplify: 200-? = 1
Next, we can isolate the missing number by subtracting 200 from both sides of the equation.
- Subtract 200 from both sides: 200-?-200 = 1-200
- Simplify: -? = -199
Finally, we can find the value of the missing number by multiplying both sides of the equation by -1 to remove the negative sign.
- Multiply both sides by -1: -1*(-?) = -1*(-199)
- Simplify: ? = 199
Therefore, the missing number in the equation is 199.