1-2 The Order of Operations

1-2 The Order of Operations

1-2 The Order of Operations Objective: Use the order of operations and grouping symbols. In most languages, the meaning of words depend on the order: Ex. Sign the check Is not the same as Check the sign Mathematics is a type of language and it also has a specific order.

Oh no! Ex. 3 + 5 X 2 What do we do first? Add or multiply? If we add first: If we multiply first: 3+5X2 3+5X2 8X2 3 + 10 Help 16 13 !

Uh Oh! Which one is the correct answer? What is PEMDAS? In order to make sure every person gets the same answer to a math problem, mathematicians came up with a rule called the order of operations Parenthesis ( ) [ ] Exponents 23 Whichever comes Multiplication X first from left to

right! Division Addition + Whichever comes Subtraction first from left to right! How am I supposed to remember that! e s a Ple se u c

x E My r a e D t n u A Sally Part 1 Using the Order of Operations What do we do first?

3 + 5 X 2 Multiply first 3 + 10 13 Then add PEMDA S To simplify an expression means to replace the expression with the simplest name for its value. PEMDAS Example 1: Simplify 4 + 15 3 4 + 15 3

4+5 9 Divide first Then add ! y r t u o y w o N

Simplify each expression. 1) 2 + 5 X 3 2) 12 3 - 1 3) 10 1 . 7 When operations have the same rank in the order of operations, do them from left to right. PEMDAS m o fr Example 2

e d i . v i Simplify 3 5 8 4 + 6 d & y l t p 3 .5 8 4 + 6 i t

h l g u i t r c m to a r t t b f u

e t 15 2 + 6 l s h d ig r n a o t d eft d

a l 13 + 6 m o fr 19 ! s hi T y r T

Simplify each expression 4) 4 1 . 2 + 6 3 5) 5 + 6 . 4 3 - 1 Part 2 Using grouping Symbols Grouping symbols such as parenthesis ( ) and brackets [ ] come first in the order of operations. A fraction bar is also a grouping symbol since: 4 + 2 = (4 + 2) 3 3 Always work inside grouping symbols first! Order of Operations

1) Work inside grouping symbols. 2) Multiply and divide from left to right. 3) Add and subtract in order from left to right. Example 3 Simplify 10 [9 (2 . 2)]. PEMDAS 10 [9 (2 . 2)] Multiply in parenthesis. 10 [9 4] Subtract in brackets. 10 5 2 Divide.

u o Y ! y Tr 9) 2[ (13 4) 3] 10 - 2 10) 1 + 4 Lets do math! Classwork: pg. 11 #s 1-9 odd

Homework: pg. 11 #s 10 34 even

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