Math5_Q1_wk 3 PARENTHESIS, MULTIPLICATION, DIVISION, ADDITION AND SUBTRACTION (PMDAS)

Multiplication, Division,
Addition, Subtraction
(PMDAS) or Grouping,
Multiplication, Division,
Addition, Subtraction
(GMDAS

Solve the following
equations involving two
operations.
1. 12 + 8 + 5 =
2. 15 + 20 + 9 =
3. 30 + 10 – 20 =
4. 9 x 4 + 4 =

Yesterday we went to a
department store with my
friend Ricky, and he helped
me picked some beautiful T-
shirt. We have selected 4 T-
shirts for 400 Php each. The
mall offered us 200 Php
discount for each item.

Ricky and I need to
know the sum of 4 T-
shirts we are buying
less the discount from
the department store.
Since we agreed to split

When solving
problems with
multiple
operations
involved. What

Today’s lesson, we
learn how to
perform a series of
more than two
operations on

The standard order of
operations for
computations involving
more than one
mathematical
operation is PMDAS or
GMDAS (Grouping (G),

Ricky and I went to the
mall and buy 4 T-shirts
for 400 Php each with 200
Php discount for each
item. We planned to split
the total price. What will
be the numerical

Step 1. Read and understand
a. What is asked in the
problem?
-The numerical expression to
represent the situation and
the amount of money each
one will pay.
b. What is/are the given

Step 2. Make a Plan
a. What
strategy/operation will be
used?
-PMDAS/GMDAS Rules
(400-200)
(400-200) x4

Step 3: Solve the Problem
(400-200) x4 ÷ 2
(400-200)= 200
(200) x 4 = 800
The total price of 4 T-shirts is worth
400 Php each. Less than 200 Php
discount each, is 800 Php.
800 ÷2= 400 Therefore, Ricky and I
will pay 400 Php each.

Group Activity
(7 x 9) + (3 x 21)
5 + (4 x 9) -4
72 + ‫׆‬
(
8
+
2
) x 6 ‫נ‬
16 + 8 ÷ (4 + 4)

Solve the following equation.
1. 12÷ (4x3)+7-5
2. (4+2x5)÷7+3
3. 400÷2x5-120+5
4. 44(9÷3)-81+45
5. 100÷(18+10-18)x4

Solve the problem.
Mr. Solidarios charged
Randolf 320 Php for
parts and 150 Php per
hour for labor to repair
his bicycle. If he spent

What is
PMDAS /GMDAS
stands for?

PMDAS/GMDAS Rules:
1. Perform the operations within each pair of
grouping symbols (parentheses, brackets, and
braces) beginning with the innermost pair.
2. Perform multiplication and division as
they occur from left to right.
3. Perform addition and subtraction as they
occur from left to right.
Another example.

Perform the following
operations.
1. 81÷ (9x3)
2. 45÷5-32÷8
3. 36÷(6+6) x 5
4. 25÷5+(14-13)
5. 8x9+(48÷6)

Parenthesis,
Multiplication,
Division, Addition,
Subtraction (PMDAS)
or Grouping,
Multiplication,
Division, Addition,

What is
PMDAS/GMDAS
stands for?

Last lesson you learned how to
state, explaine and interpret
PMDAS/GMDAS.
Today, we will learn to simplify
the expression with multiple
operations and solve for their
final values.
In performing of series of

Perform the following.
1. 4+2-3+5=
2. 15÷3-2 x 2=
3. 84-3 x 5 x 2=
4. 69+4-11 x 6÷3
5. 40 x 6÷(9+21)=

After going to the
department store to buy T-
shirts, We went to a local
store to buy one of
Batangas best coffee,
Kapeng Barako. Kapeng
Barako, also known as
Barako coffee or Batangas

I plan to give the Kapeng
Barako as tokens to the
visitor of our school. I will
instruct you to divide 5
boxes of Kapeng Barako we
bought for the visitors. The
principal brought two

However, the last
minute I instruct you to
set aside 1 box. If you
divide the remaining
box equally to 5 visitors.
How much Kapeng

We use Brackets and
Braces to avoid confusion
in performing 2 or more
operations
Parenthesis is always
enclosed the innermost

GROUP ACTIVITY
1. 4+ (2 x 12) - 5
2. 9 x ‫׆‬ (4x 8) ÷ 2 ‫נ‬
3. (100 – 16) - 3 + 2 x 6
4. 5 x (8 + 4) – 13 + 10

Simplify the
expression
5x6+6÷6-12x2

Solve the following.
If a=2, and b=4,
what is ab÷2+48÷2a+b-
a?

How to perform
an expression
with multiple
operations?

Simplify and perform the following
equations.

Parenthesis, Multiplication,
Division, Addition,
Subtraction (PMDAS) or
Grouping, Multiplication,
Division, Addition,
Subtraction (GMDAS)

400 ÷ 2 x 5 – 120 +5
100 ÷ (18 + 10 – 18) x 4
44 (9 ÷ 3) - 81 + 45

GROUP ACTIVITY
1. (36 - 6) x (3 x 4) + 7
2. (93 + 7) x 6 + 10
3. ‫׆‬
(
144
÷
12
)
2 x 3 ‫נ‬ x 6
4. (16 + 82) ÷ (4+4)

Solve the following word problem.
Mang Delfin bought 60 crates of
chicos. Each crate contained 150
chicos. He repacked them into bags
of 6 chicos each. How many bags of
chicos did he make?
Application:

In solving the
expression below, what
would be the last step?
6x5-3+12÷6-3+7x8÷4

When solving a numerical
expression that has more
than 1 operations, what are
we going to follow?

Perform the following
operations.
1. 4 + 6 – 7 + 9
2. 2 + 100 ÷ 2 - 6
3. ( 78 x 945 ) + 4200
4. (630 x 24 ) ÷ 6
5. 81 – 86 ÷ 2 + ( 9 x 2 ) -

Have you tried solving a
mathematical problem with
other pupil at the same
time?
.
Did you come up with
different answer?
If yes, it is probably
because you have used
different ways in solving

Rea and Mary sell cupcakes
to help their parents. Their
parents baked 768 cupcakes
to be packed into boxes
containing 24 pieces each.
They divided the number of
boxes equally between
themselves. Mary was able

The standard order of
operations for computations
involving more than one
mathematical operation is
PMDAS or GMDAS (Grouping
(G), Exponent (E),
Multiplication (M), Division
(D), Addition (A), and

Step 1: Compute all the
operations enclosed in
grouping symbols, that is,
parentheses (), brackets[ ], and
braces { }
Step 2: Compute all powers or
exponents.
Step 3: Multiply and divide in

Another examples;
Evaluate: 17 + (6 x 52 + 13)

Another examples;
Evaluate: 15 - { 27 – 2 x [33 – 4
x 6 ] }

Let’s have another examples.
1. 42 – 22 x 3
2. 12 + 4 ÷ 2x 3

Group Activity
Use the numbers 2,3,4, and 5
once to make the statement
true.
1. ( _x _) ÷ (_ = 5 0 = 1
2. ( _ x _ ) ÷ ( _ + _ ) =1
3. ( _ + _ ) ÷ ( _ - _ 0 = 4
4. ( _ + _ ) x ( _- _)= 5

Identify the operation that
should be done first by clicking
the operation.
http://www.xpmath.com/forums/arcade.php?do=play
&gameid=100#UcwKKec_tc8

Encircle which operation/s in
each expression should be
done first.
1.3 + 4 x 6 – 14 ÷ 2
2.4 x 4 ÷ 4 – 4 + 4
3. ( 34 – 15 ) x 5 – 27 ÷ 3
4.( 25 + 31 ) ÷ 4 x 7 + 100
5.152 - (72 – 45 ) x ( 81 ÷ 27 ) +

How to perform an
expression with
multiple
operations?

Insert parentheses, braces
and/or brackets to make the
equation correct. The first one is
already done for you.
1.48 ÷ 2 x 4 + 4 = 4 48 ÷ ( 2 x 4 ) +
4 = 4
2.48 ÷ 2 x 4 + 4 = 10

Your challenge is
to place the digits
in the correct
place to make an
answer of 30

Challenge A
Use the digits 7, 9
and 3
___ x ___ + ___

Challenge B
Use the digits 2, 4
and 7
___ + ___ x ___

Where do you
usually celebrate
your birthday?
What do you feel
during that day?

Emily had 30 cookies to bring
to school for her birthday.
Three students wanted two
cookies each. Then, a new
student came to the school
that day and he wanted three
cookies. Then, one of the three
kids gave their two cookies

How many cookies does
Emily have? How many
cookies she gave with the
three students? How about
the new student? How
many cookies did one of
the three students gave

Pair Share
Guide each pair of pupils to
evaluate the expressions.

Evaluate the
expressions
1. 36 ÷ 3 + (10 x 3) – 18
2. 76 ÷ (23 – 21) x 2 + 9
3. 7 x (2 + 4) – 63 – 24
4. 15 + 2 x (16 ÷ 4) + 5 x

It’s Bowling Time”
1. Make a list that has
4 numbers in a set.
Everyone needs a
different set of 4
numbers

2. Then they can use
any order of
operations to make it
come out to a number
that is set up in
bowling pins. So the

How do you solve
equation with
Parenthesis
(Grouping),
Multiplication,
Division, Addition and

Evaluate the
expressions.
1. (36 - 6) x (3 x 4) + 7
2. (93 + 7) x 6 + 10
3. ( ‫׆‬
144
÷
12
)
2 x 3 ‫נ‬ x
6

Math5_Q1_wk 3 PARENTHESIS, MULTIPLICATION, DIVISION, ADDITION AND SUBTRACTION (PMDAS)

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