Order of Operations

Order of Operations Definitions: Numerical Expression – Is a mathematical phrase that includes only numbers and operations. Examples: 4 + 8 ÷ 2 and 25 + 2 Simplify – Refers to the process of finding the value of numerical or algebraic expressions or writing a fraction in simplest form. Order of Operations – Is the set of rules that mathematicians have agreed on to simplify expressions that involve more than one operation.

Order of Operations Please Excuse My Dear Aunt Sally aranthese s xponents ultiply ivide dd ubtract 1.) Simplify any expressions inside grouping symbols (parentheses and brackets). 2.) Evaluate any numbers with exponents. 3.) Multiply or divide from left to right. 4.) Add or subtract from left to right.

Order of Operations Simplify Expressions with the Order of Operations Example 1: 9 + 12 x 2 9 + 24 33 Multiply the 12 and the 2. Add the 9 and the 24. Final answer

Order of Operations Simplify Expressions with the Order of Operations Example 2: 7 + (12 x 3) ÷ 6 + 4 7 + 36 ÷ 6 + 4 7 + 6 + 4 13 + 4 17 Multiply the 12 and the 3. Divide the 36 and the 6. Add the 7 and the 6. Add 13 and 4. Final answer

Order of Operations Simplify Expressions with the Order of Operations Example 3: 33 + 8 - 16÷ 4 33 + 8 – 16÷ 4 27 + 8 – 16÷ 4 27 + 8 – 4 35 – 4 31 Raise 3 to the 3rd power. Divide 16 by 4. Add the 27 and the 8. Subtract the 4 from 35. Final answer

Order of Operations Simplify Expressions with the Order of Operations Try these: 1.) 28 – 63  7 = 2.) 15+ 9 ÷ (5 – 2) = 3.) 8 ÷ (1 + 3) x 52 – 2 = 32

Order of Operations Adding Parentheses Add one set of parentheses so that each math statement is correct. 1.) 12 + 16 ÷ 4 = 7 2.) 50 ÷ 2 + 3 – 7 = 3