Quarter 1 - Week 3 - PMDAS, GMDAS

Quarter 1

Week 3

MATHEMATICS 5

Poll

CHOOSE ONE.

Kapag majority ay green button, tuloy ang Quizizz. However, kapag majority ay red button, salamat na lang sa lahat, Quizizz. :)

Ano pa ang hinihintay mo? Push that button!

HI! How have you been?

​Let's recall last week's lesson!

​GAME 1

Multiple Choice

1) One hundred twenty-five is divisible by 5. 

Multiple Choice

2) You can divide 324 by 6. 

Multiple Choice

3) 909 divided 9 gives an exact answer.

Multiple Choice

4) Can we arrange 3216 in 11 rows?

Multiple Choice

5) Is it possible to arrange 1128 in 12 groups?

BRILLIANT!

​Week 3 Lesson

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

​Use any of the

four fundamental operations

in giving the possible equation for

20

18 + 2 = 20​

25 - 5 = 20​

2 x 10 = 20

40 ÷ 2 = 20

You are great!!!

Roco was having an advance study on the next lesson in Mathematics. He came across these expressions:

​ 1) (23 x 8) ÷ 2 - 5

​ 2) 4 + (2 x 7 + 54)

​ 3) (15 – 6) + (4 – 1) x 23

​Let us help Roco in solving these.

But before that, let us understand the things that we need to follow when it comes to PMDAS/GMDAS:

​To perform a series of operations on whole numbers involving more than two operations using PMDAS or GMDAS rules:

Rule 1:

​Perform the operations within each pair of grouping symbols (parenthesis, brackets, and braces) beginning with the innermost pair.

1) ​(23 x 8) ÷ 2 - 5

= 184 ÷ 2 - 5

​

}

RULE 1: Perform the operations within each pair of grouping symbols -

parentheses ( ), brackets [ ], and braces { }.

​To perform a series of operations on whole numbers involving more than two operations using PMDAS or GMDAS rules:

Rule 2:

Perform operations as they occur from left to right.

1) ​(23 x 8) ÷ 2 - 5

= 184 ÷ 2 - 5

RULE 2: Perform operations as they occur from left to right.

}

}

ito muna

tapos i-minus ang 5 sa sagot ng 184 ÷ 2

= 92 - 5

= 87

​You can also use this technique: group them into 3.

P/G

MD

AS

​Parenthesis or Grouping Symbols

DM

or

SA

or

Multiplication and Division or Division and Multiplication

Addition and Subtraction or Subtraction and Addition

​GROUP 1

​GROUP 2

​GROUP 3

Sa paggamit ng "groupings technique", ang mauunang i-compute ay ang mga nasa Group 1, sunod ang mga nasa Group 2, at panghuli ang nasa group 3. (1 - 2 - 3)

​Let's use the "groupings technique" in answering the second expression.

​4 + (2 x 7 + 54)

​GROUP 1

I-identify muna kung saang kabilang na group.

\____________________/

\______/

​GROUP 3

Sa example sa itaas, group 1 at group 3 lamang ang na-identify. Sa puntong ito, maaari nang magsimulang mag-compute - mauuna ang group 1.

​4 + (2 x 7 + 54)

​GROUP 1

\____________________/

\______/

​GROUP 3

​Bago simulan ang computation, tingnan muna kung dalawa ang operations sa loob. Kung ang mga operations ay nabibilang sa iisang group, maaari na itong i-compute (left to right o sundin ang "whichever comes first".). Kung katulad naman sa itaas na ang dalawang operations ay kabilang sa magkaibang group, (2 x 7 + 52), ang x ay sa group 2 at ang + ay sa group 3, unahin muna ang nasa group 2 bago ang nasa group 3.

​(2 x 7 + 54) => 14 + 54 => 68

(2 x 7 muna, at isunod ang + 52) -> (2 x 7) + 52

Mula sa computation kanina, magiging ganito na ang expression:

= ​4 + 68

Since iisang operation na lang ang natira, madali na itong masagutan. :)

= 72

​ULITIN NATIN.

​4 + (2 x 7 + 54)

​= 4 + (14 + 54)

​= 4 + 68

​= 72

The third expression is now a piece of cake!

(15 – 6) + (4 – 1) x 23

But before that, let me ask you some questions.

​GAME 2

Multiple Choice

What does P/GMDAS stand for?

• Parenthesis / Grouping, Multiplication, Division, Addition, Subtraction

• Period / Grouping, Multiplication, Division, Addition, Subtraction

• Parenthesis / Grouping, Multiplication, Division, Addition, Subtrahend

• Parenthesis / Grouping, Multiplier, Division, Addition, Subtraction

Multiple Choice

How do you perform the operations in answering an expression?

• from right to left

• from left to right

• from the top

• from the bottom

Multiple Choice

Among the following, what should be done first when dealing with P/GMDAS?

• Even if there are grouping symbols, immediately add or subtract.

• Perform the operations within each pair of grouping symbols -

  parentheses ( ), brackets [ ], and braces { }.

• Multiply or divide before dealing with the grouping symbols.

• Start performing the operation from right to left.

Multiple Choice

In the "grouping technique", you can start computing those from the third group even if there are from the first group.

Multiple Choice

Which does not belong to the group (3 groups of P/GMDAS)?

• Parentheses / Grouping Symbols

• Multiplication and Division or Division and Multiplication

• Fractions, Mixed Numbers

• Addition and Subtraction or Subtraction and Addition

NICE NAMAN!!!

Balik tayo rito:

​

​(15 – 6) + (4 – 1) x 23

Sabay natin itong sagutan!