Mathematics 6 Quarter 2 Module 7: Working with Order of Operations

Mathematics Quarter 2 – Module 7: Working with Order of Operations

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Mathematics – Grade 6 Alternative Delivery Mode Quarter 2 – Module 7: Working with Order of Operations First Edition, 2020

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Published by the Department of Education Secretary: Leonor Magtolis Briones Undersecretary: Diosdado M. San Antonio

Development Team of the Module

Author: Marilou G. Dormis and Virgel F. Esblaca Editors: Rebecca O. Billones, Ma. Portia G. Galanto, Collin G. Sales and Estrella Llornas Reviewers: Rosemarie D. Aclan and Collin G. Sales Illustrator: Marilou G. Dormis Layout Artist: Felizardo S. Valdez III Management Team: Ramir B. Uytico, Pedro T. Escobarte, Jr., Elena P. Gonzaga, Donald T. Genine, Ma. Roselyn J. Palcat, Nordy D. Siason, Jr., Rowena S. Carillo, Rosemarie D. Aclan, Arthur J. Cotimo, Felizardo S. Valdez III, Marve E. Gelera

Printed in the Philippines by _______________________

Department of Education – Region VI

Office Address: Duran Street, Iloilo City Telefax: (033)336-2816, (033)509-7653 E-mail Address: region6@deped.gov.ph

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Mathematics Quarter 2 – Module 7: Working with Order of Operations

What I Need to Know

This module was designed and written with you in mind. It is here to help you interpret and explain the GEMDAS rule and perform two or more operations on whole numbers with or without exponents and grouping symbols. The scope of this module permits it to be used in many different learning situations. The language used recognizes your diverse vocabulary level. The lessons are arranged to follow the standard sequence of the course. But the order in which you read them can be changed to correspond with the textbook you are now using.

The module is divided into two lessons, namely:

• Lesson 1. Performing Two or More Operations on Whole Numbers without Exponents and Grouping Symbols
• Lesson 2. Performing Two or More Operations on Whole Numbers with Exponents and Grouping Symbols

After going through this module, you are expected to:

1. recognize order of operations on whole numbers;
2. interpret and explain the Grouping, Exponent, Multiplication, Division, Addition, and Subtraction (GEMDAS) rule (M6NS-IIf-148); and,
3. perform two or more operations on whole numbers with or without exponents and grouping symbols. (M6NS-IIf-149)

What I Know

A. Read the items below. Write the letter of the correct answer on your answer sheet.

1. Which operation should be performed first in the expression 4 + 6 – 1 x 10?
   a. addition
   b. subtraction
   c. multiplication
   d. division

   
   

2. Which operation should be done first in the expression 5 x 8 ÷ 2?
   a. addition
   b. subtraction
   c. multiplication
   d. division

   
   

3. Which is the answer for the expression 60 + 48 ÷ 2 x 5?
   a. 180
   b. 108
   c. 118
   d. 181

   
   

4. In applying the rules of order of operations, what operation should be done last in the expression 8 x 5 + 4 – 2?
   a. multiplication
   b. division
   c. addition
   d. subtraction

   
   

5. What is the second operation to be done in the expression 27 – 12 ÷ 4 x 4 + 5?
   a. subtraction
   b. division
   c. multiplication
   d. addition

   
   

B. Evaluate the following expressions. Write your answers on your answer sheet.

Example: 10 ÷ 2 – 3 + 2 x 4 Answer: 10

6. 11 + 6 x 5 – 3 _____
7. 84 – 6 + 9 _____
8. 20 – 12 ÷ 6 + 7 _____
9. 16 ÷ 2 – 3 + 2 x 4 _____
10. 72 ÷ 3 x 8 _____

Lesson 1: Performing Two or More Operations on Whole Numbers without Exponents and Grouping Symbols

You have learned how to give the value of numbers expressed in exponential notation in the past lesson. Now, you will learn how to perform two or more operations on whole numbers without exponents and grouping symbols.

What’s In

Determine the order of operations in each mathematical expression. Write A for Addition, S for Subtraction, M for Multiplication, and D for Division. Write your answers on your answer sheet.

1. 8 + 4 ÷ 2
2. 12 + 8 – 8
3. 9 x 54 ÷ 6
4. 42 ÷ 6 x 15
5. 72 – 9 + 6

What’s New

Study and analyze the problem below.

Agnes got sick and was absent from school for a week. When she returned, she tried working on a task posed by her teacher. The task and her solution are shown below.

8 – 5 + 4 x 7 ÷ 2 = 3 + 4 x 7 ÷ 2 = 7 x 7 ÷ 2 = 49 ÷ 2 = 24.5

Is Agnes’ answer correct? Why or why not?

What is It

It is important to follow a rule when performing two or more operations on whole numbers. Without this rule, we might calculate them in the wrong order and get a wrong answer.

Do you still remember the MDAS?

Let us use this rule to check Agnes’ solution.

8 – 5 + 4 x 7 ÷ 2 [First, multiply or divide. From left to right, multiplication appears first before division. So, “multiply” first and then “divide”.]

= 8 – 5 + 28 ÷ 2 [Next, add or subtract. From left to right, subtraction appears first before addition. So, “subtract” first and then “add”.]

= 8 – 5 + 14

= 3 + 14

= 17 [This is the answer.]

Agnes’ answer is incorrect because the answer should be 17.

In her solution, she performed the operations from left to right, but started with subtraction instead of multiplication.

Here is another example:

16 ÷ 4 x 5 + 7 – 8 [First, multiply or divide. From left to right, division appears first before multiplication. So, “divide” first and then “multiply”.]

= 4 x 5 + 7 – 8

= 20 + 7 – 8 [Next, add or subtract. From left to right, addition appears first before subtraction. So, “add” first and then “subtract”.]

= 27 – 8

= 19 [This is the answer.]

What’s More

A. Identify the order of operations to be performed in each expression. Write A for Addition, S for Subtraction, M for Multiplication, and D for Division. Then compute. Write your answers on your answer sheet.

Example: 7 + 6 x 4 ÷ 12 M, D, A 9

1. 6 ÷ 2 +1 × 4 _____ _____
2. 18 – 12 ÷ 6 + 7 _____ _____
3. 4 × 3 – 10 + 16 _____ _____
4. 3 × 3 + 10 – 3 _____ _____
5. 30 ÷ 2 x 4 – 8 + 9 _____ _____

B. Fill in the box with the missing number. Write your answers on your answer sheet.

1. 16 – 7 + 8
   = _____ + 8
   = _____

   
   

2. 3 × 5 – 4
   = _____ – 4
   = _____

   
   

3. 18 ÷ 6 × 3 + 4
   = _____ × 3 + 4
   = _____ + _____
   = _____

   
   

4. 18 – 9 + 4 x 10
   = 18 – 9 + _____
   = _____ + _____
   = _____

   
   

5. 12 ÷ 2 + 4 x 5 – 7
   = _____ + 4 x 5 – 7
   = _____ + _____ – 7
   = _____ – _____
   = _____

   
   

What I Have Learned

We follow the MDAS Rule when performing two or more operations. MDAS stands for Multiplication, Division, Addition and Subtraction.

To use this rule, just remember:

1. Multiply or divide as you go from left to right.
2. Add or subtract as you go from left to right.

What I Can Do

A. In a game, each team will answer a mathematical expression. Let us help them find out if their solution is correct. If correct, write the word CHECK. If wrong, write the correct solution.

Team A   6 ÷ 3 + 12 – 9
         = 6 ÷ 15 – 9
         = 6 ÷ 6
         = 1

Team B   2 x 3 + 72 ÷ 12
         = 2 x 3 + 6
         = 2 + 9
         = 11

Team C   20 + 6 ÷ 2 – 3
         = 26 ÷ 2 – 3
         = 13 – 3
         = 10

Team D   72 ÷ 9 x 24 + 10 – 5
         = 8 x 24 + 10 – 5
         = 8 x 34 – 5
         = 272 – 5
         = 267

Team E   4 + 16 ÷ 2
         = 4 + 8
         = 12

B. Use all the numbers to make statements that produce different answers with all the signs given. Write your answers on your answer sheet.

[illustration: five numbered stars (1, 2, 5, 8, 9) above four circled operation signs (+, –, x, ÷) inside a red-bordered box]

Assessment

A. Read each item carefully. Write the letter of the correct answer on your answer sheet.

1. What is the first step in the expression 8 x 3 + 63 ÷ 9 – 6?
   A. 8 x 3 B. 3 + 63 C. 63 ÷ 9 D. 9 – 6

   
   

2. The first step in the expression 14 + 5 x 40 ÷ 4 – 7 is ________.
   A. 14 + 5 B. 5 x 40 C. 40 ÷ 4 D. 4 – 7

   
   

3. Which expression has the value of 4?
   A. 6 x 1 x 2 ÷ 2 – 5 B. 5 + 4 ÷ 2 x 3 – 6
   C. 9 + 3 x 6 – 12 ÷ 4 D. 50 ÷ 25 x 2

   
   

4. What operation should be done first in the expression 5 – 3 + 2 x 4 ÷ 2?
   A. division B. multiplication
   C. subtraction D. addition

   
   

5. Jean is evaluating the expression 7 + 3 x 9 – 8 ÷ 4. According to the order of operations, which operation should Jean solve first?
   A. 7 + 3 B. 3 x 9 C. 9 – 8 D. 8 ÷ 4

   
   

B. Evaluate the following expressions. Write your answers on your answer sheet.

1. 15 + 3 – 7 =
2. 8 + 8 ÷ 4 =
3. 75 ÷ 5 + 9 =
4. 20 – 4 + 6 x 3 =
5. 6 ÷ 3 + 10 × 3 =

Additional Activities

A. Evaluate the following expressions. Write your answers on your answer sheet.

1. 63 ÷ 7 + 5 x 2 – 6
2. 6 ÷ 2 × 7 + 3
3. 3 × 4 + 82 – 8
4. 37 + 3 × 2 ÷ 6
5. 14 ÷ 2 – 4 + 3 × 2

B. Write the operation symbols (+, -, x, ÷) on the space provided to make the statement true.

1. 8 ___ 3 ___ 2 ___ 7 = 9
2. 9 ___ 6 ___ 8 ___ 2 = 7
3. 4 ___ 3 ___ 2 ___ 1 ___ 3 = 4
4. 3 ___ 3 ___ 0 ___ 7 ___ 2 = 15
5. 6 ___ 7 ___ 10 ___ 2 ___ 5 = 42

Answer Key

[transcriber’s note: this page is printed rotated 180 degrees beneath an upright title; the boxed sections are reproduced below in a reading order chosen for the web. Entries marked [?] are uncertain readings of the rotated print.]

What I Can Do

A.

Team A: 6 ÷ 3 + 12 – 9 → 9 – 6 ÷ 3 + 12 → 9 – _____ = 2 + 12 → 9 – _____ = 14 → = 5

Team B: 2 x 3 + 72 ÷ 12 → = 6 + 72 ÷ 12 → = 6 + 6 → = 12

Team C: 20 + 6 ÷ 2 – 3 → = 20 + 3 – 3 → = 23 – 3 → = 20

Team D: 72 ÷ 9 x 24 + 10 – 5 → = 8 x 24 + 10 → = 192 + 10 → = 202 → = 199 [?]

Team E: CHECK

B. Answers may vary. Possible answers:

1 = 28 – 8 x 5 ÷ 2 + 9 5 = 21 – 9 x 2 + 8 ÷ 1 2 + 9 ÷ 1 x 5 = 51 – 8 9 = 12 – 5 x 8 ÷ 2 + 1 2 = 47 – 9 + 5 ÷ 1 x 8

Assessment

A. 1) A 2) B 3) D 4) A 5) B

B.

1. 15 + 3 – 7 = 18 – 7 = 11
2. 8 + 8 ÷ 4 = 8 + 2 = 10
3. 75 ÷ 5 + 9 = 15 + 9 = 24
4. 20 – 4 + 6 x 3 = 16 + 18 = 34
5. 6 ÷ 3 + 10 × 3 = 2 + 10 × 3 = 2 + 30 = 32

Additional Activities

A.

1. 63 ÷ 7 + 5 x 2 – 6 = 9 + 5 x 2 – 6 = 9 + 10 – 6 = 19 – 6 = 13
2. 6 ÷ 2 × 7 + 3 = 3 × 7 + 3 = 21 + 3 = 24
3. 3 × 4 + 82 – 8 = 12 + 82 – 8 = 94 – 8 = 86
4. 37 + 3 × 2 ÷ 6 = 37 + 6 ÷ 6 = 37 + 1 = 38
5. 14 ÷ 2 – 4 + 3 × 2 = 7 – 4 + 6 = 3 + 6 = 9

B.

1. 8 – 3 x 2 + 7 = 9
2. 9 – 6 + 8 ÷ 2 = 7
3. 4 x 3 ÷ 2 + 1 = 4 [?]
4. 3 ÷ 3 + 0 + 7 x 2 = 15
5. 6 x 7 – 10 ÷ 2 + 5 = 42

What’s In

1. D, A
2. A, S
3. M, D
4. D, M
5. S, A

What’s More

A.

1. D, M, A – 7
2. D, S, A – 23
3. M, S, A – 18
4. M, A, S – 16
5. D, M, S, A – 61

B.

1. 7 + 8 – 9 = [?]
2. 4 – 3 x 5 = 4 – 15 = 11
3. 18 ÷ 6 × 3 + 4 = 3 × 3 + 4 = 9 + 4 = 13
4. 18 – 9 + 4 x 10 = 18 – 9 + 40 = 9 + 40 = 49
5. 12 ÷ 2 + 4 x 5 – 7 = 6 + 20 – 7 = 26 – 7 = 19

What I Know

A. 1) C 2) C 3) A 4) D 5) C

B. 6) 38 7) 87 8) 25 9) 13 10) 192

What I Know

A. Read the items below. Write the letter of the correct answer on your answer sheet.

1. Which operation should be done first in the expression 8 + (9 x 5) ÷ 5 – 2?
   A. addition B. subtraction
   C. multiplication D. division

   
   

2. Using the GEMDAS rule, which should be done first in the expression 25 + (3³ – 6) x 5 – 5?
   A. simplify 3³ B. subtract
   C. multiply D. add

   
   

3. Which should be performed first in the expression 15 + (4 – 1) x 4 – 3?
   A. 4 – 1 B. 4 – 3 C. 15 + 3 D. 3 x 4

   
   

4. Which operation would you perform first in the expression 12 ÷ (4 + 2) – 1 x 10?
   A. 4 + 2 B. 12 ÷ 4
   C. 1 x 10 D. 2 – 1

   
   

5. Which should be done first in the expression 2³ x 3² ÷ 1 + (6 – 5)?
   A. 2³ B. 3² C. 1 + 6 D. 6 – 5

   
   

B. Perform the indicated operations in the mathematical expressions below. Do it on your answer sheet.

1. (12 + 5) x 3 =
2. 6 x 4 – (6 + 8) =
3. 24 ÷ 2³ + 9 =
4. 4 + (3 x 5) + 4² =
5. (6 ÷ 3) + (9 × 3) =

Lesson 2 – Performing Two or More Operations on Whole Numbers with Exponents and Grouping Symbols

You have learned how to perform two or more operations on whole numbers without exponents and grouping symbols. Now, you will learn how to perform two or more different operations on whole numbers with exponents and grouping symbols or the GEMDAS rule.

What’s In

A. Give the value of the numbers expressed in exponential notation.

1. 10² = _____
2. 12² = _____
3. 3³ = _____
4. 5⁴ = _____
5. 2⁶ = _____

B. Read each item carefully. Write the letter of the correct answer on your answer sheet.

1. What is the value of the expression below?
   6 + 16 x 2 ÷ 8 – 5
   A. 15 B. 12 C. 8 D. 5

   
   

2. Which expression has a value of 45?
   A. 3 x 4 + 5 – 6 B. 6 – 5 x 9 + 2
   C. 9 x 4 – 2 ÷ 2 + 10 D. 8 ÷ 4 + 6 – 5 x 1

   
   

3. What is the value of the expression below?
   15 – 5 x 4 + 6
   A. 9 B. 7 C. 5 D. 1

   
   

4. Evaluate: 8 x 4 + 10 ÷ 5.
   A. 20 B. 28 C. 34 D. 40

   
   

5. Which expression does not have the value of 2?
   A. 2 + 4 – 2 x 2 B. 8 + 4 ÷ 4 – 2 x 3
   C. 5 ÷ 5 x 4 + 3 – 5 D. 9 x 2 ÷ 6 – 1

   
   

What’s New

During a game, two pupils wrote down their solutions to the following task posted by their teacher.

(4 x 10) + 10² ÷ 5

Pupil A’s Solution:	Pupil B’s Solution:
(4 x 10) + 10² ÷ 5	(4 x 10) + 10² ÷ 5
= 40 + 10² ÷ 5	= 40 + 10² ÷ 5
= 40 + 100 ÷ 5	= 40 + 100 ÷ 5
= 140 ÷ 5	= 40 + 20
= 28	= 60

Whose answer is correct? Why?

What is It

To find out whose answer is correct, we are going to follow the rules in performing two or more operations with exponents and grouping symbols by using the GEMDAS rule.

Let us evaluate the expression (4 x 10) + 10² ÷ 5.

(4 x 10) + 10² ÷ 5    First, perform operations within each grouping symbols.
= 40 + 10² ÷ 5        Next, evaluate exponential expressions.
= 40 + 100 ÷ 5        Then, perform multiplication or division from left to right
                      or whichever operation comes first.
= 40 + 20             Finally, perform addition or subtraction from left to right
                      or whichever operation comes first.
= 60                  This is the answer.

Pupil B’s solution is correct.

Pupil A’s solution is incorrect. The operations within the grouping symbols were performed first, then the exponential expression was evaluated, but addition was performed first instead of division.

Here are some examples:

Example A.

3 + [(7 x 4) – 6]     First, perform operations within each grouping symbols.
                      So, multiply, then subtract the expression within the brackets.
= 3 + [28 - 6]
= 3 + 22              Then, perform addition or subtraction from left to right
                      or whichever operation comes first.
= 25                  This is the answer.

Example B.

8 x 5³ - 9 ÷ 3 + 2    First, evaluate exponential expressions.
= 8 x 125 - 9 ÷ 3 + 2 Next, perform multiplication or division from left to right
                      or whichever operation comes first. So, "multiply" first then "divide".
= 1000 - 9 ÷ 3 + 2
= 1000 - 3 + 2        Then, perform addition or subtraction from left to right
                      or whichever operation comes first. So, "subtract" first then "add".
= 997 + 2
= 999                 This is the answer.

What’s More

A. Identify the order of operations to be performed in each expression. Write G for Grouping symbols, E for Exponents, A for Addition, S for Subtraction, M for Multiplication, and D for Division. Write your answers on your answer sheet.

Example: 30 ÷ 5 + (5 x 6) x 19 Answer: G, D, M, A

1. 20 + 5 x (15 – 8)
2. 42 – (3 x 8) + (48 ÷ 4)
3. 84 ÷ 6 x 2² – (9 + 7)
4. (18 x 7) – (22 – 20)³
5. 12² – 6 x 4 + 12

B. Match the expression on Column A with the answer on Column B. Write the letter of the correct answer on your answer sheet.

Column A	Column B
1) 10 – 3 + 7 x (24 ÷ 3)	A. 84
2) (13 – 5) x 3 + 7 – 8	B. 23
3) 5 x 4 + (12 + 2²) – 30 ÷ 3	C. 21
4) 8 x 3³ + 63 ÷ 9 – 6	D. 217
5) 5 x 4 + (16 ÷ 4) – 3	E. 26
	F. 63

What I Have Learned

We follow the GEMDAS rule when performing two or more operations with exponents and grouping symbols. GEMDAS stands for Grouping symbols, Exponent, Multiplication, Division, Addition and Subtraction.

To use this rule, just remember:

1. Perform the operations inside the grouping symbols first.
2. Find the value of the number in exponential notation.
3. Multiply or divide as you go from left to right.
4. Add or subtract as you go from left to right.

What I Can Do

A. Below are mathematical expressions with solutions. Write the word CORRECT if the solution is correct and if the solution is wrong, write the correct solution. Do this on your answer sheet.

1. 12 – 3 + 18 ÷ (6 × 3)
   = 12 – 3 + 18 ÷ 18
   = 12 – 3 + 1
   = 9 + 1
   = 10

[transcriber’s note: each solution is followed by an empty answer box on the printed page]

2. 7 x (9 – 3) + 8
   = 7 x 6 + 8
   = 7 x 14
   = 98

   
   

3. 18 – (2⁴ ÷ 4) + 7
   = 18 – (16 ÷ 4) + 7
   = 18 – 4 + 7
   = 18 + 11
   = 29

   
   

4. [9 × (9 ÷ 3) – 9] + 6
   = [9 × 3 – 9] + 6
   = [27 – 9] + 6
   = 18 + 6
   = 24

   
   

5. (16 ÷ 8) x 15 – 3³ + 8
   = (16 ÷ 8) x 15 – 27 + 8
   = 8 – 27 + 8
   = 3 + 8
   = 11

   
   

B. Complete each sentence using all the numbers 2, 4, 5, 6, 10. Use the correct order of operations. Write your answers on your answer sheet.

1. _____ x _____ ÷ ( _____ – _____ ) + _____ = 35
2. ( _____ x _____ + _____ ) ÷ _____ – _____ = 3
3. _____ – ( _____ + _____ ) ÷ _____ x _____ = 6
4. ( _____ – _____ ) x _____ ÷ _____ + _____ = 12
5. ( _____ + _____ ) x _____ ÷ _____ – _____ = 3

Assessment

A. Read each item carefully. Write the letter of the correct answer on your answer sheet.

1. What is the last operation to be done in the expression below

72 ÷ 2 x 4 – 2⁵ + 5

A. division
B. multiplication
C. subtraction
D. addition

2. What is the value of the expression below?

[48 – (3 x 5)] + (12 ÷ 3)

A. 37
B. 56
C. 79
D. 92

3. What is the first thing you need to do to evaluate the equation below?

4 x 6 + (3² – 3)

A. add
B. subtract
C. simplify exponent
D. multiply

4. What order of operations should be done in the equation: (8² – 4²) x 4 + 5?

A. performing operation inside the grouping symbols, multiplication, addition
B. performing operation inside the grouping symbols, addition, multiplication
C. simplifying exponents, addition, multiplication
D. subtraction, simplifying exponents, multiplication, addition

5. Which of the following expressions will get the value of 75?

A. (7 x 7) + 6 x 4 + 2
B. 7 x (7 + 6) x 4 + 2
C. 7 x 7 + (6 x 4) + 2
D. 7 x 7 + 6 x (4 + 2)

B. Evaluate the mathematical expressions below. Write the answers on your answer sheet.

6. 16 ÷ [(5 – 3 + 2) x 4] =
7. (5² – 3) ÷ 2 =
8. 5³ x 2 – 25 =
9. 60 ÷ (9 – 6) x 2 – 18 =
10. [2 + { (6 – 1) x 2} ] =

Additional Activities

A. Evaluate the following expressions. Show your solution on your answer sheet.

1. (42 – 25) + (52 – 47) x 4 =
2. (43 – 4²) ÷ 8 =
3. 4³ x 3 – 7 =
4. [50 ÷ {(3 – 2) x 2}] – 16 =
5. (7 – 2) + (4² x 18) =

[transcriber’s note: the superscript exponents in item 1 and item 5 are not reliably legible in this rendering; the items are transcribed as they appear, and the exponent positions may differ from the printed page]

B. Insert parenthesis ( ) following the correct order of operations in each of the mathematical expressions below to make the statements true. Write your answers on your answer sheet.

1. 12 – 7 x 2 = 10
2. 80 ÷ 20 x 2 = 2
3. 6 + 2² x 3 ÷ 2 = 12
4. 3 x 4 + 7 = 33
5. 4 + 4 x 4 ÷ 4 – 4 = 4

Answer Key

[transcriber’s note: this page is printed upside down relative to its heading; the answer boxes are transcribed below in upright reading order]

What I Know

A.

1. C
2. A
3. A
4. A
5. D

B.

1. (12 + 5) x 3
   = 17 x 3
   = 51

   
   

2. 6 x 4 – (6 + 8)
   = 24 – 14
   = 10

   
   

3. 24 ÷ 2³ + 9
   = 24 ÷ 8 + 9
   = 3 + 9
   = 12

   
   

4. 4 + (3 x 5) – 4²
   = 4 + 15 – 16
   = 19 – 16
   = 3

   
   

5. 6 ÷ 3 + (9 × 3)
   = 6 ÷ 3 + 27
   = 2 + 27
   = 29

   
   

What’s In

A.

1. 100
2. 144
3. 27
4. 625
5. 64

B.

1. D
2. C
3. D
4. C
5. B

What I Can Do

1. CORRECT

   
   

2. 7 × (9 – 3) + 8
   = 7 × 6 + 8
   = 42 + 8
   = 50

   
   

3. 18 – (2⁴ ÷ 4) + 7
   = 18 – (16 ÷ 4) + 7
   = 18 – 4 + 7
   = 14 + 7
   = 21

   
   

4. CORRECT

   
   

5. (16 ÷ 8) x 15 – 3³ + 8
   = 2 x 15 – 27 + 8
   = 30 – 27 + 8
   = 3 + 8
   = 11

   
   

B.

1. 6 x 10 ÷ (4 – 2) + 5 = 35
2. (4 x 5 + 10) ÷ 6 – 2 = 3
3. 10 – (4 + 6) ÷ 5 x 2 = 6
4. (6 – 5) x 4 ÷ 2 + 10 = 12
5. (6 + 10) x 2 ÷ 4 – 5 = 3

What’s More

A.

1. G, M, A
2. G, S, A
3. G, E, D, M, S
4. G, E, S
5. E, M, S, A

B.

1. F
2. B
3. E
4. D
5. C

Assessment

A.

1. D
2. A
3. C
4. A
5. C

B.
6) 1
7) 11
8) 225
9) 22
10) 12

Additional Activities

A.

1. 42
2. 6
3. 185
4. 9
5. 293

B.

1. (12 – 7) x 2 = 10
2. 80 ÷ (20 x 2) = 2
3. 6 + (2² x 3) ÷ 2 = 12
4. 3 x (4 + 7) = 33
5. 4 + (4 x 4 ÷ 4) – 4 = 4

References

K to 12 Curriculum Guide in Mathematics M6NS-IIg-152

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