Order of operations and evaluating expressions.

Question

Evaluate the expression for the given value of the variable.

1. 16/n + 2^3 - 10 when n = 8
Show your work

Answer 1

To evaluate the expression $\frac{16}{n}+2^3-10$ when $n=8$, we will follow the order of operations (PEMDAS/BODMAS):

1. Substitute the value of n: $$n=8\Rightarrow \frac{16}{8}+2^3-10$$

2. Evaluate the division: $$\frac{16}{8}=2$$ So our expression now looks like: $$2+2^3-10$$

3. Evaluate the exponent: $$2^3=2\times 2\times 2=8$$ Now substitute back into the expression: $$2+8-10$$

4. Now perform the addition and subtraction from left to right:

   • First add: $$2+8=10$$
   • Then subtract: $$10-10=0$$

Thus, the value of the expression when $n=8$ is $\boxed{{\displaystyle 0}}$.