Question

Evaluate each expression.

$32÷4+2^3-3$

Short answer

The value of the given expression is 13.

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. Solving the exponent.

$32÷4+2^3-3=32÷4+8-3\left[\because 2^3=2\times 2\times 2=8\right]$

Step 3. Applying BODMAS.

$$\begin{gathered} 32÷4+8-3=8+8-3\left[\text{PerformingDivision}\right] \\ =16-3\left[\text{PerformingAddition}\right] \\ =13\left[\text{PerformingSubtraction}\right] \end{gathered}$$