Question

Evaluate the expression when $y=16\text{and}z=4$.

localid="1649157956756" $11-z$

Short answer

The value of the expression is7.

Step-by-step solution

Step-1 – Apply the concept of addition and subtraction

To add two numbers with similar signs, add their absolute values and keep the similar sign with the resulting number.

To add two numbers with opposite signs, subtract the absolute value of smaller number from absolute value of larger number and keep the sign of larger number with the resulting number.

Step-2 – Example for the addition and subtraction

If two positive numbers 2 and 3 are being added, then the resulting sum will be $2+3=5$, which is positive as well.

And if two negative numbers $-2$ and $-3$ are being added, then the resulting sum will be$\left(-2\right)+\left(-3\right)=-5$, which is negative as well.

The difference of the numbers $7-3=4$ is positive because the larger number is positive.

And the difference of the numbers $3-7=-4$ is negative because the larger number is negative.

Step-3 – Evaluate the expression

To evaluate the expression $11-z$, substitute 4 for z in the given expression and subtract the numbers as shown below,

$\begin{array}{c}11-z=11-4\\ =7\end{array}$

Thus, the value of the expression is7.