1. The Order of Operations

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

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

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

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

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

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

8. The Order of Operations
BEDMAS

9. The Order of Operations
BEDMAS B E DM AS

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

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

13. 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.

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

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

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

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

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

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

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

21. The Order of Operations
BEDMAS
Ex) [(+4) + (-3)2 – 23]2

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

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

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

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

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

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

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

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

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

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

32. The Order of Operations
Is there a difference between the following?
(-3)4 and -34
= (-3)(-3)(-3)(-3)
= (+9)(-3)(-3)
= (-27)(-3)
= (+81)
-34
= -(34)
= -(3 x 3 x 3 x 3) =
Yes there is a difference. Ask, “What is the base of the power?”

33. The Order of Operations
Evaluate the following expression when x = 3 and y = -2
4x2 – (5 + y3)
= 4(3)2 – (5 + (-2)3)
= 4(9) – (5 + (-8))
= 36 – (-3)
= (+3)
= 39
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