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# Order of Operations

Download Presentation ## Order of Operations

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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.