Question

Evaluate the expression when $x=4\text{and}y=2$

localid="1648624667777" $0.5[y-(x-2)]$

Short answer

The value of the expression is0.

Step-by-step solution

Step-1 – Order of operations

To evaluate any expression involving more than one operation, follow the below order of operations:

• First evaluate expressions inside grouping symbols like parentheses ( ) or brackets [ ].
• Evaluate the exponents.
• Perform Multiplication and division from left to right.
• Perform addition and subtraction from left to right.

Step-2 – Evaluate the expressions inside grouping symbols

In order to evaluate the given expression, first substitute 4 for x and 2 for y and then subtract the numbers inside parenthesis first and then subtract the resulting numbers inside bracket as shown below

$\begin{array}{l}0.5[y-(x-2)]\\ =0.5[2-(4-2)]\\ =0.5[2-\left(2\right)]\\ =0.5[2-2]\\ =0.5\left[0\right]\end{array}$

Step-3 – Multiply the numbers

Now to simplify further, multiply the resulting numbers to get

$\begin{array}{l}0.5\left[0\right]\\ =0\end{array}$

Thus, the value of the expression is 0.