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 \( \boxed{0} \).