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Let’s look at a simple problem: . 30 – 7 x 3 = ?. Can everyone here subtract and multiply?. Let’s work it out now and see what we get?. Purpose. - PowerPoint PPT Presentation

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Page 1: Let’s look at a simple problem:
Page 2: Let’s look at a simple problem:

Let’s look at a simple problem:

30 – 7 x 3 = ?

Can everyone here subtract and multiply?

Let’s work it out now and see what we get?

Page 3: Let’s look at a simple problem:

• You already know how to add, subtract, multiply, and divide. Today you will learn how to evaluate a numerical expression with more than one operation.

• Have you ever followed the directions in a recipe? What do you think would happen if you changed the order of the directions?

Connect

Purpose

Page 4: Let’s look at a simple problem:

Let’s look at a simple problem:

Did you get 69 or maybe 9?

Who is correct?

PROBLEM

30 – 7 x 3 = ?

Page 5: Let’s look at a simple problem:

A very long time ago, Mathematicians were dealing with this same problem.

Mathematicians were solving these type of problems and were coming up with different answers.

Page 6: Let’s look at a simple problem:

They decided to make some rules that we all need to follow to make sure that we all get the same answer.

Rules for the Order of Operations

Page 7: Let’s look at a simple problem:

This is what they came up

with.We know it as PEMDAS

Page 8: Let’s look at a simple problem:

Vocabulary• When evaluating expressions containing

more than one operation, you need to use the order of operations. The order of operations states that operations in parentheses are evaluated first, followed by multiplication and division from left to right. Finally, addition and subtraction are completed from left to right.

Page 9: Let’s look at a simple problem:

Please Excuse My Dear Aunt Sally Pemdas

Page 10: Let’s look at a simple problem:

P Parenthesis

E Exponents

M MultiplicationsD Division

A AdditionS Subtraction

As it appears, LEFT TO RIGHT

Order of operationsIt’s easy to make

a mistake, be sure to follow the

rules.

Page 11: Let’s look at a simple problem:

Rule 1: First perform any calculations inside parentheses. (if working with exponents, those come next) Rule 2: Next perform all multiplications and divisions, working from left to right. Rule 3: Lastly, perform all additions and subtractions, working from left to right.

These are the simple

rules

Page 12: Let’s look at a simple problem:

Which student is correct?

Student 14+5x2= 9x2= 18

Student 24+5x 2= 4+10= 14

Page 13: Let’s look at a simple problem:

15 + 12 ÷ 3 - 5• When you evaluate an expression, what

operation do you do first?

• Are there any parentheses in this expression?

• What do you do if there are no parentheses?

First, you do whatever operations are in parentheses

Page 14: Let’s look at a simple problem:

P.E.M.D.A.S15 + 12 ÷ 3 - 5

15 + (12 ÷ 3) - 5

Parentheses? NO! Exponents?

Multiplication and/or division???

YES!!!! Do that first in this problem!!!

15 + 4 - 5Addition and/or subtraction?

YES!!!! Do the addition left to right as it appears in the problem.

15 + 4 - 519 - 5= 14!!!

Page 15: Let’s look at a simple problem:

Name the operation you should do first1. 6 + 27 ÷ 32. 5 x 2 + 12 ÷ 63. 17 – (4 + 3)4. (14 – 7) + (3 + 5 )

ON YOUR OWN

Page 16: Let’s look at a simple problem:

On your own• Place the parentheses that would make this

equation true.

12 + 14 – 4 ÷ 2 = 17 (pay attention to the answer!!!!)

Page 17: Let’s look at a simple problem:

Now let’s solve these!

1. 6 + 27 ÷ 32. 5 x 2 + 12 ÷ 63. 17 – (4 + 3)4. (14 – 7) + (3 + 5 )

Page 18: Let’s look at a simple problem:

online• https://www.youtube.com/watch?

v=CKLh2ksYBcY&feature=share

• Brain Pop!• http://www.brainpop.com/math/numbersando

perations/orderofoperations/preview.weml

http://www.brainpop.com/math/numbersandoperations/orderofoperations/preview.weml
http://www.brainpop.com/math/numbersandoperations/orderofoperations/preview.weml
http://www.brainpop.com/math/numbersandoperations/orderofoperations/preview.weml

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