If x=6 find the value of x/2
The Correct Answer and Explanation is:
To find the value of ( \frac{x}{2} ) when ( x = 6 ), we simply substitute the value of ( x ) into the expression. The calculation is as follows:
[
\frac{x}{2} = \frac{6}{2}
]
Now, we divide 6 by 2:
[
\frac{6}{2} = 3
]
So, the value of ( \frac{x}{2} ) when ( x = 6 ) is 3.
Explanation
This problem involves basic arithmetic and the concept of variable substitution. A variable is a symbol used to represent a number or value, often represented by letters such as ( x ), ( y ), or ( z ). In this case, ( x ) is the variable, and it is given a specific value, which is ( 6 ).
When we are asked to find the value of an expression like ( \frac{x}{2} ), we need to substitute the given value of ( x ) into the expression. The expression ( \frac{x}{2} ) means that we are dividing the value of ( x ) by 2.
Step-by-Step Process:
- Substitute the value of ( x ): The problem tells us that ( x = 6 ). So, we replace ( x ) in the expression ( \frac{x}{2} ) with 6, making it ( \frac{6}{2} ).
- Perform the division: Now, we need to divide 6 by 2. Division is the opposite of multiplication, and dividing 6 by 2 means we are determining how many times 2 fits into 6. The answer is 3.
Thus, ( \frac{6}{2} = 3 ).
This kind of simple mathematical operation is a fundamental part of arithmetic, which we use in various situations, whether it’s solving for unknowns in equations or performing everyday tasks like dividing a group into equal parts.