Download presentation

Presentation is loading. Please wait.

Published byReynard Rice Modified over 8 years ago

1
Order of Operations Also known to as PEMDAS

2
EXAMPLE 1 Following Order of Operations Music You buy a used guitar for $50. You then pay $10 for each of five guitar lessons. The total cost can be found by evaluating the expression 50 + 10 x 5. Is the total cost $100 or $300 ?

3
= 50 + 50 EXAMPLE 1 To find the guitar costs described, evaluate 50 + 10 5. 50 + 10 5 First multiply 10 and 5. = 100 Then add 50 and 50. ANSWER The total cost is $100. Following Order of Operations

4
EXAMPLE 2 Evaluating a Variable Expression Substitute 25 for x and 2 for y. Evaluate the power. Multiply 8 and 3. = 1 Subtract 24 from 25. x 3y 3 – = 25 3(2 3 ) – = 25 3(8) – = 25 24 – Evaluate x 3y 3 when x = 25 and y = 2. –

5
GUIDED PRACTICE for Examples 1 and 2 Evaluate the expression. 1. 5 + 6 x 5 35 ANSWER 2. 20 4 2 2 – 12 ANSWER 3. 10 3 + 3 3 57 ANSWER

6
GUIDED PRACTICE 4. Evaluate a + 4b 2 when a = 6 and b = 5. 106 ANSWER for Examples 1 and 2

7
EXAMPLE 3 Using the Left-to-Right Rule 5 + 3 - 6 a.a.12 7 + 3 - 6 = – Subtract 7 from 12. = 8 6 – Add 5 and 3. = 2 Subtract 6 from 8. 6 ) 3 = Divide 54 by 9. 6 3 = 18 Multiply 6 and 3. 54 9 (3+ b.b.

8
EXAMPLE 4 Using Grouping Symbols Subtract inside parentheses. = 4(3) = 12 Multiply 4 and 3. = 20 10 Evaluate expressions grouped by fraction bar. = 2 Divide 20 by 10. Add inside parentheses. Evaluate the power. = 75 Multiply 25 and 3. = 5 2 3 = 25 3 b.b. 13 + 7 2 5 a.a.4(8 5) – c.c. (4 + 1) 2 3

9
GUIDED PRACTICE for Examples 3 and 4 Evaluate the expression. 5. 18 10 + 5 - 1 – 12 ANSWER 6. (3 7) (6 - 3) 2 + 90 ANSWER 7. 8 3 4 + 2 4 ANSWER

10
GUIDED PRACTICE Evaluate the expression. 8. 25 6 14 3 – + – 8 ANSWER 9. 16 2 11 88 ANSWER 10. 16(9 + 1) - 30 130 ANSWER for Examples 3 and 4

11
EXAMPLE 5 Standardized Test Practice

12
EXAMPLE 5 SOLUTION = 500 + 1200 + 600 Multiply first. = 1700 + 600 Add 500 and 1200. = 2300 Add 1700 and 600. ANSWER You score 2300 points. The correct answer is D. You need to evaluate the expression 1 500 + 3 400 + 4 150. 1 500 + 3 400 + 4 150 Standardized Test Practice

13
GUIDED PRACTICE for Example 5 11. What If? In Example 5, suppose you complete two burntwists, two backflips, and one 360° flip. How many points do you score? 1950 points. ANSWER

Similar presentations

© 2024 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google