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# Order of Operations

Order of Operations. What’s Wrong?. Look at both of the problems. Notice the difference in the way they are solved. What’s Wrong. The only difference in the way these problems were done is the order the operations were performed. The one on the left is correct. .

## Order of Operations

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### Presentation Transcript

1. Order of Operations

2. What’s Wrong? • Look at both of the problems. • Notice the difference in the way they are solved.

3. What’s Wrong • The only difference in the way these problems were done is the order the operations were performed. • The one on the left is correct.

4. Multiplication and Division • Multiplication and division are always done left to right. • Remember multiplication is commutative and associative, but division is not. • You can do problems that only contain multiplication in any order, but if division is in the problem, then the order is important.

5. Examples: Pause the player Try these three problems on paper Write out all steps Start the player to see the correct answers.

7. Addition and Subtraction • Addition and subtraction work the same way. • Subtraction isn’t commutative. • Remember to think “add the opposite” when subtracting, but do it left to right.

8. Example: Try this on paper with the player paused. Then play to see the result

10. MD before AS • Multiplication and division are always done before addition and subtraction. • Write each step out completely under the previous step. • 3(5)+122 - 2(7) • 15+122 - 2(7) • 15+ 6 - 2(7) • 15+ 6 - 14 • 21 - 14 • 7

11. Try these. • Pause the player • Work these on paper, then play to see the answers.

12. MD before AS • Multiplication before subtraction. • Note: Write the new problem after multiplying.

13. Mistakes • There is a mistake in each of the following problems. • Discover what was done incorrectly. • -20 is correct. • 2 ¼ is correct. • 17 is correct.

14. E before MD before AS • Exponents are done before multiplication and division. • Note in the examples, the exponents are done and the rest of the problem is written down. • If you scratch to the side and skip writing all steps, you will make mistakes. • A root is an exponent and also done before multiplication, division, addition or subtraction.

15. E before MD before AS • Pause the player. • Try these problems on paper, then play to see the answers.