1. The Order of Operations Consider the expression, 2 + 5 x 4 Consider the expression, 2 + 5 x 4

2. The Order of Operations Consider the expression, 2 + 5 x 4 Consider the expression, 2 + 5 x 4 Evaluate the expression by doing the multiplication first. Evaluate the expression by doing the multiplication first.

3. The Order of Operations Consider the expression, 2 + 5 x 4 Consider the expression, 2 + 5 x 4 Evaluate the expression by doing the multiplication first. Evaluate the expression by doing the multiplication first. 2 + 5 x 4 =2 + 20 = 22

4. The Order of Operations Consider the expression, 2 + 5 x 4 Consider the expression, 2 + 5 x 4 Evaluate the expression by doing the multiplication first. Evaluate the expression by doing the multiplication first. 2 + 5 x 4 =2 + 20 = 22 Evaluate the expression by doing the addition first.

5. The Order of Operations Consider the expression, 2 + 5 x 4 Consider the expression, 2 + 5 x 4 Evaluate the expression by doing the multiplication first. Evaluate the expression by doing the multiplication first. 2 + 5 x 4 =2 + 20 = 22 Evaluate the expression by doing the addition first. 2 + 5 x 4 =7 x 4 = 28

6. The Order of Operations Consider the expression, 2 + 5 x 4 Consider the expression, 2 + 5 x 4 Evaluate the expression by doing the multiplication first. Evaluate the expression by doing the multiplication first. 2 + 5 x 4 =2 + 20 = 22 Evaluate the expression by doing the addition first. 2 + 5 x 4 =7 x 4 = 28 We need rules!

7. The Order of Operations BEDMAS

8. The Order of Operations BEDMAS B E DM AS

9. The Order of Operations BEDMAS B- Do operations in brackets first. E DM AS

10. The Order of Operations BEDMAS B- Do operations in brackets first. E- Evaluate exponents next. DM AS

11. The Order of Operations BEDMAS B- Do operations in brackets first. E- Evaluate exponents next. DM- Do dividing and multiplying in the order they appear. AS

12. The Order of Operations BEDMAS B- Do operations in brackets first. E- Evaluate exponents next. DM- Do dividing and multiplying in the order they appear. AS- Do adding and subtracting in the order they appear.

13. The Order of Operations BEDMAS Ex) (-3) x (-5) + (+18) ÷ (-3)

14. The Order of Operations BEDMAS Ex) (-3) x (-5) + (+18) ÷ (-3) = (+15) + (-6)

15. The Order of Operations BEDMAS Ex) (-3) x (-5) + (+18) ÷ (-3) = (+15) + (-6) = (+9)

16. The Order of Operations BEDMAS Ex) [(-8) – 15] x (-2)

17. The Order of Operations BEDMAS Ex) [(-8) – 15] x (-2) = [(-8) + (-15)] x (-2)

18. The Order of Operations BEDMAS Ex) [(-8) – 15] x (-2) = [(-8) + (-15)] x (-2) = (-23) x (-2)

19. The Order of Operations BEDMAS Ex) [(-8) – 15] x (-2) = [(-8) + (-15)] x (-2) = (-23) x (-2) = (+46)

20. The Order of Operations BEDMAS Ex) [(+4) + (-3) 2 – 2 3 ] 2

21. The Order of Operations BEDMAS Ex) [(+4) + (-3) 2 – 2 3 ] 2 = [(+4) + (-3) x (-3) – 2 x 2 x 2] 2

22. The Order of Operations BEDMAS Ex) [(+4) + (-3) 2 – 2 3 ] 2 = [(+4) + (-3) x (-3) – 2 x 2 x 2] 2 = [(+4) + 9 – 8] 2

23. The Order of Operations BEDMAS Ex) [(+4) + (-3) 2 – 2 3 ] 2 = [(+4) + (-3) x (-3) – 2 x 2 x 2] 2 = [(+4) + 9 – 8] 2 = 5 2

24. The Order of Operations BEDMAS Ex) [(+4) + (-3) 2 – 2 3 ] 2 = [(+4) + (-3) x (-3) – 2 x 2 x 2] 2 = [(+4) + 9 – 8] 2 = 5 2 = 25

25. The Order of Operations Ex) (-4) 2 + (-2)(-3) 7 + (-9)

26. The Order of Operations Ex) (-4) 2 + (-2)(-3) 7 + (-9) = 16 + 6 -2

27. The Order of Operations Ex) (-4) 2 + (-2)(-3) 7 + (-9) = 16 + 6 -2 = 22 -2

28. The Order of Operations Ex) (-4) 2 + (-2)(-3) 7 + (-9) = 16 + 6 -2 = 22 -2 = -11

29. The Order of Operations Ex) (-4) 2 + (-2)(-3) 7 + (-9) = 16 + 6 -2 = 22 The numerator and denominator must be -2 evaluated before dividing. = -11

30. The Order of Operations Ex) (-4) 2 + (-2)(-3) 7 + (-9) = 16 + 6 -2 = 22 The numerator and denominator must be -2 evaluated before dividing. = -11 It’s as if they were in brackets.

31. The Order of Operations Is there a difference between the following? (-3) 4 and -3 4 = (-3)(-3)(-3)(-3) = (+9)(-3)(-3) = (-27)(-3) = (+81) -3 4 = -(3 4 ) = -(3 x 3 x 3 x 3) = - 81 Yes there is a difference. Ask, “What is the base of the power?”

32. The Order of Operations Evaluate the following expression when x = 3 and y = -2 4x 2 – (5 + y 3 ) = 4(3) 2 – (5 + (-2) 3 ) = 4(9) – (5 + (-8)) = 36 – (-3) = 36 + (+3) = 36 + (+3) = 39 = 39 jjjjjjjj