Download presentation

Presentation is loading. Please wait.

Published byDakota Beachley Modified over 3 years ago

1
Order of Operations

2
Children should be led to make their own investigations, and to draw upon their own inferences. They should be told as little as possible which can produce unlimited learning potential. Herbert Spencer Intellectual Moral and Physical 1864

3
ORDER OF OPERATIONS How to do a math problem with more than one operation in the correct order.

4
Order of Operations Problem:Evaluate the following arithmetic expression: 3 + 4 x 2 Solution: Student 1 3 + 4 x 2 = 7 x 2 = 14 Student 2 3 + 4 x 2 3 + 8 11

5
Order of Operations It seems that each student interpreted the problem differently, resulting in two different answers. Student 1 performed the operation of addition first, then multiplication Student 2 performed multiplication first, then addition.

6
Order of Operations When performing arithmetic operations there can be only one correct answer. We need a set of rules in order to avoid this kind of confusion. Mathematicians have devised a standard order of operations for calculations involving more than one arithmetic operation.

7
Order of Operations Rule 1:First perform any calculations inside parentheses. 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.

8
Example Expression Evaluation Operation 6 + 7 x 8 = 6 + 7 x 8 Multiplication = 6 + 56 Addition = 62 16 ÷ 8 - 2 = 16 ÷ 8 - 2 Division = 2 - 2 Subtraction = 0 (25 - 11) x 3 = (25 - 11) x 3 Parentheses = 14 x 3 Multiplication = 42

9
Time to do some computing! Evaluate using the order of operations. 3 + 6 x (5 + 4) ÷ 3 - 7 Solution: Step 1: = 3 + 6 x 9 ÷ 3 - 7 Parentheses Step 2: = 3 + 54 ÷ 3 - 7 Multiplication Step 3: = 3 + 18 - 7 Division Step 4: = 21 - 7 Addition Step 5: = 14 Subtraction

10
1) 5 + (12 – 3) 5 + 9 14 2) 8 – 3 2 + 7 8 - 6 + 7 2 + 7 9 3) 39 ÷ (9 + 4) 39 ÷ 13 3 Examples

11
Fractions Evaluate the arithmetic expression below: This problem includes a fraction bar, which means we must divide the numerator by the denominator. However, we must first perform all calculations above and below the fraction bar BEFORE dividing. The fraction bar can act as a grouping symbol

12
Thus Evaluating this expression, we get: Fractions

13
Mr. Smith charged Jill $32 for parts and $15 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Solution: 32 + 3 x 15= 32 + 3 x 15= 32 + 45 = 77 Jill owes Mr. Smith $77. Write an arithmetic expression

14
Add Parentheses to Obtain Result 7 − 1 + 6 = 0 7 − ( 1 + 6 ) = 0 1 + 2 × 5 + 6 = 21 ( 1 + 2 ) × 5 + 6 = 21 2 + 2 × 5 ÷ 3 − 1 = 10 ( 2 + 2 ) × 5 ÷ ( 3 − 1 ) = 10 3 + 8 ÷ 2 = 7 3 + ( 8 ÷ 2 ) = 7 8 + 3 − 7 = 4

15
When evaluating arithmetic expressions, the order of operations is: Simplify all operations inside parentheses. Perform all multiplications and divisions, working from left to right. Perform all additions and subtractions, working from left to right. If a problem includes a fraction bar, perform all calculations above and below the fraction bar before dividing the numerator by the denominator. Summary

Similar presentations

Presentation is loading. Please wait....

OK

ORDER OF OPERATIONS LESSON 2.

ORDER OF OPERATIONS LESSON 2.

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on db2 mainframes Ppt on 3 idiots learning Ppt on case study in psychology Ppt on english chapters of class 10 Seminar ppt on data mining Ppt on unity in diversity studio Ppt on pathophysiology of obesity Ppt on world diabetes day pictures Ppt on grid connected pv system Ppt on sports awards in india