This document provides information and examples about interpreting the order of operations rule known as GEMDAS and performing multiple mathematical operations. It includes: - An explanation of the GEMDAS rule - Grouping, Exponents, Multiplication, Division, Addition, Subtraction - and that it establishes the order that operations should be performed. - Examples of solving expressions step-by-step according to the GEMDAS rule, including working through expressions with grouping symbols, exponents, multiplication, division, addition and subtraction. - An example problem comparing two students, Irish and Lynard, who got different answers when solving the expression 2 + 4 x 3 - 6 ÷ 2, and identifying which student answered

1. Interpreting the GEMDAS Rule &
Performing Two or More Different Operations
M6NS - IIf -148 & M6NS - IIf -149

2. Picture Riddle
Game

3. Round 1

4. + = 5
+
=
=
+ = 8
12
?
-

6. Round 2

7. + = 30
+
+ =
=
+ = 20
8
?

9. Round 3

10. + = 18
+
- =
=
+ = 14
2
?
+
+
+

12. Round 4

13. 30
+ =
+
- =
=
+ = 20
3
?
+
+
+

15. Round 5

16. + = 6
=
=
- = 2
10
?
-
+
+

18. Irish and Lynard are both working on the value of the
expression: 2 + 4 x 3 – 6 ÷ 2. However, they have
different answers. Irish answered 11, while Lynard
answered 6. Of the two students, who answered
correctly?

19. Objectives
After going through this lesson, you are expected to:
• Interprets and explains the Grouping, Exponent,
Multiplication, Division, Addition, Subtraction (GEMDAS) rule
M6NS - IIf -148
• Performs two or more different operations on whole numbers
with or without exponents and grouping symbols.
M6NS - IIf -149

21. The Order of Operations GEMDAS
Rule 1: Simplify the operations inside the grouping symbols first. Grouping symbols are always done from the innermost set outwards.
Grouping- Parenthesis, Brackets or Braces
Rule 2: Evaluate the exponential expressions.
Exponents- 32
Rule 3: Multiply and divide in the order they appear from left to right.
Multiplication- Whichever comes first the operation from left to right
Division-
Rule 4: Add and Subtract in order they appear from left to right.
Addition-
Subtraction- Whichever comes first the operation from left to right

22. 8 + 2 x 10=?
8 + 2 x 10
8 + 2= 10
10 x 10 = 100
8 + 2 x 10
2 x 10 = 20
8 + 20 = 28
This answer is INCORRECT This is the CORRECT answer

23. 8 + 2 x 10=?
STEP 1:
Observe GEMDAS in this expression neither Grouping or Exponent,
what comes next is Multiplication
STEP 2: 8 + 2 x 10, therefore 2 x 10 is 20
STEP 3: In GEMDAS the next is Addition or Subtraction whichever
comes first from left to right.
Therefore 8 + 2 x 10 is equal to 8 + 2 x 10
8 + 20 = 28 is the correct answer.

24. 10 - 8÷ 4 + ( 7- 2 )=N
Step 1: Observing GEMDAS we have a parenthesis in this expression
10- 8÷ 4 + ( 7- 2 ) and 7- 2 is equal to 5
Let’s try to solve.
Step 2: 10 - 8÷ 4 + 5
Step 3: 10 - 8÷ 4 + 5 there is no exponent what comes next is Multiplication or Division
whichever comes first from left to right 8÷ 4 is 2
Step 4: 10 - 2 + 5 Next its either Addition or Subtraction whichever comes first from left to right.
So 10 – 2+ 5=
8 + 5 = 13, this is the correct answer.

25. 32 + 2 (8- 2) – 3=N
Step 1: Step 1: Observing GEMDAS we have a Parenthesis in this expression 32 + 2 ( 8 - 2) – 3,
so 32 + 2 ( 6 ) - 3
Let’s try to solve.
Step 2: We have an Exponent in this expression. 32 + 2 ( 6 ) – 3=
9 + 2 ( 6 ) – 3=
Step 3: We have a Multiplication in this expression. 9 + 2 ( 6 ) – 3=
9 + 12 – 3=
Step 4: Operate Addition and Subtraction whichever comes first from left to right
9 + 12 – 3 =
21 – 3 = 18

26. 2 + 4 x 3 – 6 ÷ 2
Who answered correctly?
My answer is 11.
I answered 6.
Irish Lynard

27. Why is it important to follow rules?
What do you think will happened if you don’t
follow rules?
What present situation in your life can we
relate the importance of following rules?

28. Do the Activities indicated on their
Mathematics 6 PIVOT 4A-SLM Learning
Task 1 Numbers 1-5 on page 23

29. GROUP 1- Make-Sure To Like It!
Write a Like Sign if the statement is correct and
Supply the correct answer if the statement is incorrect.
1. ) 2 x 2 – 4 ÷ 2 + 4= 12 _________________
2. ) ( 4 ) 2 – 12 + 2 = 3 _________________
3. ) 3 x 8 + 16 ÷ 4 = 28 _________________
4. ) 10 + 2 + 4 ÷ 4 ( 4-3 ) = 2 _________________
5. ) 11- 32 + 3 = 5 _________________

30. GROUP 2- Pop That balloon!
Pop the balloon that shows correct answer in its equation.
8 x 2 – 4÷ 2 + 6= 12 9 x 8 – 36 ÷ 4= 63 3+2 + 8÷4 (4-2) = 6 16 – 42 +36= 0 2 + (7 x 3) – 5 = 18

31. GROUP 3: Correct Me if I’m Wrong!
Analyze the given sentences. Put a Happy Face if you agree with the
sentence, and if you didn’t agree with the sentence, write on the blank the
correct word or phrase that will make it right.
__________1. In simplifying expressions, the first thing to do is to simplify the numbers within the
Groupings.
__________2. In Multiplication/ Division and Addition or Subtraction you will simplify whichever comes
first from right to left.
__________3. In solving Order of Operations, you need to follow the GEMDAS Rule.
__________4. In simplifying answers in Order of Operation the result will be the same whether you
follow the rule or not.
__________5. GEMDAS stands for Grouping, Expression, Multiplication/ Division, Addition/Subtraction

32. Generalization
Rules in Order of Operation GEMDAS
Rule 1: Simplify the operations inside the grouping symbols first. Grouping
symbols are always done from the innermost set outwards.
Rule 2: Evaluate the exponential expressions.
Rule 3: Multiply and divide in the order they appear from left to right.
Rule 4: Add and Subtract in order they appear from left to right.

33. Do Learning Task Number 3 on page 23 of your SLM
Mathematics Module Numbers 1 to 5. To be answered
on your notebook.

34. In your notebook, journal or portfolio you will write your
personal insights about the lesson using the prompts below.
I understand that ________________________________
I realize that ___________________________________
Reflection

35. Thank You for Listening!