This document provides an explanation of the order of operations when solving mathematical expressions. It states that multiplication and division should be performed before addition and subtraction, from left to right if these operations are at the same level of precedence. It provides examples of solving expressions step-by-step using the proper order of operations. Finally, it gives practice problems for the reader to solve.

2. 4 + 10 ÷ 2 = ?
What is the answer
to this?

3. 4 + 10 ÷ 2 = ?
There are two possible
ways to do this
problem:

4. Do the addition first: Do the division first:
4 + 10 ÷ 2 = ?

5. “The Order of Operations."
MDAS
These rules are called

6. This stands for
M =
D =
A =
S =
MDAS

7. This stands for
M = Multiplication
D = Division
A = Addition
S = Subtraction
MDAS

8. comes before ...
In the word
So, the order of operations rule is that
you...

9. Always do
multiplication and
division
before
addition and subtraction

10. We do the division first!
4 + 10 ÷ 2 = ?
So, in this problem
5
4 +
9

11. 20 - 3 x 4 = ?
What do we do
first here?
12
20 -
8

12. TRY IT:
2 + 3 x 5
17

13. TRY IT:
15 - 8 ÷ 2
11

14. But, what if we just have a problem
with multiplication and division?
2 x 30 ÷ 5
Just work from left to right -- like you read!
12

15. Here’s another one:
15 ÷ 3 x 10 ÷ 2
Just work from left to right!
25

16. TRY IT:
24 ÷ 6 x 3
12

17. It's the same for addition and subtraction.
They are on the same level,
so you just work from left to right.
20 - 3 + 5
Go from left to right 22

18. TRY IT:
6 + 8 - 4
10

19. MDAS

20. Now let’s mix it up!
8 + 14 ÷ 7 x 3 - 5

21. 6 + 9 ÷ 3 x 4 - 1
17

22. 5 x 6 - 8 ÷ 2
26

23. Solve the following
equations.

24. 6 x 7 – 5 = n
47
a
1
b c
12 37

25. 23 – 6 x 3 = n
5
a
2
b c
51 15

26. 19 + 8 ÷ 2 = n
13
a
3
b c
23 24

27. 19 + 11 x 5 = n
150
a
4
b c
78 74

28. 48 – 24 ÷ 4 = n
6
a
5
b c
42 54

29. DEAL OR NO DEAL

30. 6 ÷ 2 + 3 = 6
1

31. 12 + 8 ÷ 2 = 10
2

32. 36 ÷ 4 + 8 = 16
3

33. 3 + 12 ÷ 4 = 6
4

34. 7 x 4 – 5 = 23
5