Q4. - Algebra 1

Question

Evaluate each expression.

$32÷4+2^3-3$

Step-by-Step Solution

Answer

The value of the given expression is 13.

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.

$$\begin{gathered} 32÷4+8-3=8+8-3\left[\text{Performing Division}\right] \\ =16-3 \left[\text{Performing Addition}\right] \\ =13 \left[\text{Performing Subtraction}\right] \end{gathered}$$