HI! How have you been?

​Let's recall last week's lesson!

​GAME 1

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

NICE NAMAN!!!

Balik tayo rito:

​

​(15 – 6) + (4 – 1) x 23

Sabay natin itong sagutan!