Evaluate the following. \[ 5+2 \times 7-9 \div 3 \]

To evaluate the expression: \[ 5 + 2 \times 7 - 9 \div 3 \] we follow the **order of operations**, commonly remembered by the acronym **PEMDAS**: 1. **P**arentheses 2. **E**xponents 3. **M**ultiplication and **D**ivision (from left to right) 4. **A**ddition and **S**ubtraction (from left to right) Let's apply these rules step by step. ### Step 1: Perform Multiplication and Division Identify and compute the multiplication and division parts of the expression. \[ 2 \times 7 = 14 \] \[ 9 \div 3 = 3 \] Now, substitute these values back into the expression: \[ 5 + 14 - 3 \] ### Step 2: Perform Addition and Subtraction Proceed with addition and subtraction from left to right. \[ 5 + 14 = 19 \] \[ 19 - 3 = 16 \] ### Final Answer \[ 5 + 2 \times 7 - 9 \div 3 = 16 \]