G P EMDAS

Solve. Scenario A Scenario B Scenario C Which way is correct and why? 8 + 16 ÷ 4 x 2 8 + 16 ÷ 4 x 2 8 + 16 ÷ 4 x 2 24 ÷ 4 x 2 8 + x 2 4 8 + x 2 4 6 x 2 12 x 2 8 + 8 12 24 16 Which way is correct and why? Scenario C is correct because it is using order of operations.

numerical expression – an expression consisting of numbers and operations Example: 3 + 15 ÷ 5 order of operations – a set of rules for evaluating an expression involving more than one operation

PEMDAS, meet GEMDAS Your first step in evaluating expressions has always been to address what was inside the parentheses, but there are other grouping symbols to address in Algebra. Rather than limiting ourselves to parentheses, let’s begin with all the grouping symbols.

ORDER OF OPERATIONS 1. Perform operations within grouping symbols. 2. Evaluate exponents. 3. Multiply and divide in order from left to right. 4. Add and subtract in order from left to right. G E M D A S

Grouping Symbols ( ) – Parentheses [ ] – Brackets | | - Absolute Value ___- Fraction Bar

Using Order of Operations - Parentheses Evaluate the expression inside the grouping symbols first. Simplify the expression. 2) 42 – (3 x 4) ÷ 6 3) 24 – (4 x 5) ÷ 4 1) 35 ÷ (9 - 4) 42 – 12 ÷ 6 24 – ÷ 4 35 ÷ 5 20 42 – 2 24- 5 7 40 19

Using Order of Operations – Fraction Bar Evaluate the numerator and then the denominator. Simplify the expression. 5) 6 x 6 4 +8 4) 7 x 2 5 - 3 36 4+8 14 5-3 14 2 36 12 =7 =3

Using Order of Operations – Absolute Value Evaluate the expression inside the vertical lines. Simplify the expression. 7) |-7| x |9| 7 x 9 = 63 6) 7 + |4 – 5| \ / 7 + | -1 | 7 + 1 = 8

Evaluate inside the innermost set of grouping symbols. Using Order of Operations –Two Sets of Grouping Symbols Evaluate inside the innermost set of grouping symbols. Simplify the expression. 9) 12-[ 6+ (19 – 14)] 8) 100 ÷ [(8+2) x 2] 100 ÷ [ 10 x 2] 12-[ 6+ ] 5 100 ÷ 20 12- 11 5 1