1.1 Integers and Rational Numbers

1.4. Order of Operations www.ck12.orgHere we have an expression with addition and multiplication.We can look at the order of operations and see that multiplication comes before addition. We need to complete thatoperation first.4 + 3 × 54 + 15= 19When we evaluate this expression using order of operations, our answer is 20.What would have happened if we had NOT followed the order of operations?Example4 + 3 × 5We probably would have solved the problem in order from left to right.4 + 3 × 57 × 5= 35This would have given us an incorrect answer. It is important to always follow the order of operations.Here are few for you to try on your own.1. 8 − 1 × 4 + 3 =2. 2 × 6 + 8 ÷ 2 =3. 5 + 9 × 3 − 6 + 2 =II. Evaluating Numerical Expressions Using Powers and Grouping SymbolsWe can also use the order of operations when we have exponent powers and grouping symbols like parentheses.Let’s review where exponents and parentheses fall in the order of operations.Order of OperationsP - parenthesesE - exponentsMD - multiplication or division in order from left to rightAS - addition or subtraction in order from left to rightWow! You can see that according to the order of operations parentheses comes first. We always do the work inparentheses first. Then we evaluate exponents.Let’s see how this works with a new example.Example2 + (3 − 1) × 224