This is the Grade 6 Mathematics self-learning module for Quarter 2, Module 6: Understanding Numbers Expressed in Exponential Notation. It is an Alternative Delivery Mode module (First Edition, 2020) from the Department of Education Region VI. In two lessons, learners find out what the base and the exponent are, how to read and write numbers in exponential notation, and how to find their value.
What learners will learn
After going through this module, learners are expected to:
- identify the exponent and the base in a number expressed in exponential notation;
- describe the exponent and the base in a number expressed in exponential notation (M6NS-IIf-146); and
- give the value of numbers expressed in exponential notation (M6NS-IIf-147).
Lessons in this module
- Lesson 1: Describing the Exponent and the Base in a Number Expressed in Exponential Notation. Learners use the area of a square and the volume of a cube to see how repeated multiplication can be written in a short way. They then name the base and exponent and read the notation aloud.
- Lesson 2: Giving the Value of Numbers Expressed in Exponential Notation. Learners write a number in exponential notation as repeated multiplication, then multiply to find its value. A savings pattern problem shows how this is used.
Key ideas: base, exponent, and exponential notation
Exponential notation is a shorthand way of writing repeated multiplication. The module starts with a square whose sides are 4 cm long. Its area is 4 cm x 4 cm = 16 cm², and 4 x 4 can be written as 4².
- The base is the number used as a factor. In 4², the base is 4.
- The exponent tells how many times the base is used as a factor. In 4², the exponent is 2.
- The exponent is written at the upper right side of the base.
How to read exponential notation
| Notation | Ways to read it | Meaning |
|---|---|---|
| 4² | 4 to the second power, 4 raised to the power of 2, the square of 4, 4 squared | 4 x 4 |
| 6³ | 6 cubed, the cube of 6, 6 to the third power, 6 raised to the power of 3 | 6 x 6 x 6 |
| 5⁴ | 5 to the fourth power, 5 raised to the power of 4 | 5 x 5 x 5 x 5 |
| 3⁵ | 3 to the fifth power, 3 raised to the power of 5 | 3 x 3 x 3 x 3 x 3 |
The cube example uses a cube with 6 cm edges. Its volume is 6 cm x 6 cm x 6 cm = 216 cm³. The module also shows longer cases, such as 12 x 12 x 12 x 12 x 12 x 12 = 12⁶ (base 12, exponent 6) and 7 multiplied by itself ten times = 7¹⁰.
Order matters. In 7¹¹, 7 is used as a factor 11 times. In 11⁷, 11 is used as a factor 7 times.
Key ideas: finding the value
To find the value of a number in exponential notation, write it as repeated multiplication, then multiply. For example:
- 9² means 9 is used as a factor 2 times: 9 x 9 = 81.
- 4⁵ means 4 is used as a factor 5 times: 4 x 4 x 4 x 4 x 4 = 1 024.
The lesson’s word problem follows Grace, who saves ₱3.00 on Day 1, ₱9.00 on Day 2, ₱27.00 on Day 3, and ₱81.00 on Day 4. Each day’s savings is three times the day before. Her savings follow the pattern 3¹, 3², 3³, and so on. Day 5 is ₱243.00 (3⁵), Day 6 is ₱729.00 (3⁶), and Day 7 is ₱2 187.00 (3⁷).
How to use this module
The module follows the usual self-learning module parts: What I Know (pretest), What’s In, What’s New, What is It, What’s More, What I Have Learned, What I Can Do, Assessment, and Additional Activities. An answer key is at the end of each lesson.
- Learners: Start with the What I Know pretest to check what you already know. Then work through each part in order. Write all answers on a separate answer sheet, not on the module. Check your work with the answer key only after you finish.
- Parents: Help your child read the directions and work the multiplication step by step. For example, ask them to write 3⁴ as 3 x 3 x 3 x 3 before multiplying.
- Teachers: The Assessment and Additional Activities in each lesson can be used as checks for learning. Review the answer keys before you use them, because a few entries do not match the printed items.
Frequently asked questions
What grade and quarter is this module for?
It is for Grade 6 Mathematics, Quarter 2. It is Module 6 of the quarter.
What is the base and the exponent in exponential notation?
The base is the number used as a factor. The exponent tells how many times the base is used as a factor. In 4², 4 is the base and 2 is the exponent, so 4² means 4 x 4.
How do you find the value of a number in exponential notation?
Write it as repeated multiplication, then multiply. For example, 4⁵ = 4 x 4 x 4 x 4 x 4 = 1 024.
Which competencies does the module cover?
It covers describing the exponent and the base in a number expressed in exponential notation (M6NS-IIf-146) and giving the value of numbers expressed in exponential notation (M6NS-IIf-147).
Does the module have an answer key?
Yes. Each of the two lessons ends with an answer key for its pretest, activities, and assessment.
Full text of the module
The text below is a transcription of the PDF above, as printed.
Mathematics Quarter 2 – Module 6: Understanding Numbers Expressed in Exponential Notation
[illustration: teachers and learners studying outdoors and indoors, with a globe, a lamp, and a student writing on paper]
CO_Q2_Mathematics6_Module6
Mathematics– Grade 6 Alternative Delivery Mode Quarter 2 – Module 6: Understanding Numbers Expressed in Exponential Notation 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
Authors: Salvacion V. Emberga, Marina Damasco, Rosemarie D. Aclan, and Charlyn Joy A. Estimera
Editors: Ma. Portia Gencianeo Galanto, Rebecca O. Billones and Collin G. Sales
Reviewers: Elleda Ebreo de la Cruz and Collin G. Sales
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Layout Artist: Felizardo S. Valdez III
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Department of Education – Region VI
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6
Mathematics
Quarter 2 – Module 6: Understanding Numbers Expressed in Exponential Notation
What I Need to Know
This module was designed and written with you in mind. It is here to help you master the skills in expressing numbers in exponential notation. 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 – Describing the Exponent and the Base in a Number Expressed in Exponential Notation
- Lesson 2 – Giving the Value of Numbers Expressed in Exponential Notation
After going through this module, you are expected to:
- identify the exponent and the base in a number expressed in exponential notation;
- describe the exponent and the base in a number expressed in exponential notation (M6NS-IIf-146); and
- give the value of numbers expressed in exponential notation. (M6NS-IIf-147).
[transcriber’s note: the printed page numbers on these four images read 3 to 6; the markers below follow the requested numbering 5 to 8]
What I Know
Read each item carefully. Then choose the letter of the correct answer. Write the answers on your answer sheet.
- In 17⁶, the number 17 is called ___________.
- A. base
- B. exponent
- C. power
- D. notation
- The number that indicates how many times the base is used as a factor in an exponential notation is known as ___________.
- A. base
- B. exponent
- C. notation
- D. exponential
- Which is the shorter way of writing 55 x 55 x 55 x 55 x 55 x 55?
- A. 5⁵
- B. 5⁶
- C. 6⁵⁵
- D. 55⁶
- The correct way of reading the exponential notation 45⁵ is ___________.
- A. 5 to the power of 45
- B. 5 to the 45th power
- C. 45 to the power of 5
- D. 45 to the 55th power
- How will the repeated multiplication 14 x 14 x 14 x 14 x 14 x 14 x 14 be expressed in exponential notation?
- A. 14⁷
- B. 7¹⁴
- C. 14⁶
- D. 6¹⁴
- Which of the following statements describes the difference between 7¹¹ and 11⁷?
- A. In 7¹¹, 11 is the base and 7 is the exponent while in 11⁷, 7 is the base and 11 is the exponent.
- B. In 7¹¹, 11 is the exponent and 7 is the base while in 11⁷, 7 is the base and 11 is the exponent.
- C. In 7¹¹, 7 is used as a factor 11 times while in 11⁷, 11 is used as a factor 7 times.
- D. In 7¹¹, 11 is used as a factor 7 times while in 11⁷, 7 is used as a factor 11 times.
- What will be the exponent when the repeated multiplication 87 x 87 x 87 x 87 x 87 be expressed in exponential notation?
- A. 8
- B. 7
- C. 6
- D. 5
- What is meant by the exponential notation 115³?
- A. 115 as the exponent will be multiplied by 3
- B. 115 as the base will be used as a factor 3 times
- C. 3 as the exponent will be multiplied by 115
- D. 3 as the base will be used as a factor 115 times
- Which of the following statements is TRUE?
- A. In 300⁴, number 4 is the base and 300 is the exponent.
- B. The exponential notation 300⁴ has a base of 30 and exponent of 4.
- C. In 300⁴, 4 will be used as a factor 300 times.
- D. The exponential notation 300⁴ means 300 x 300 x 300 x 300.
- Dina is holding a card with the repeated multiplication as shown below.
39 x 39 x 39 x 39 x 39 x 39 x 39 x 39 x 39 x 39
Which is the equivalent exponential notation for it?
- A. 39⁷
- B. 39⁸
- C. 39⁹
- D. 39¹⁰
Lesson 1: Describing the Exponent and the Base in a Number Expressed in Exponential Notation
In your previous grade, you have learned multiplying a number by itself several times. This process can be expressed in a shorthand way and this is what you will learn in this lesson.
What’s In
Find each product. Write the answers on your answer sheet.
3 x 3 x 3 x 3 =
7 x 7 x 7 =
2 x 2 x 2 x 2 x 2 x 2 =
9 x 9 =
4 x 4 x 4 x 4 x 4 =
What’s New
Do you know how to square a number? How important do you think is acquiring this skill? Let’s work on the following problem to find out.
Each side of a square is 4 centimeters long. Find the area of the square.
What is It
[illustration: square with each side labeled 4 cm]
To find the area of the square:
Area of the square = side x side = 4 cm x 4 cm = 16 cm²
We can write 4 x 4 as 4².
[chart: diagram of exponential notation 4²; labels: “base” points to 4, “exponent” points to 2]
4 is called the base, which is the number used as a factor. 2 is called the exponent, which says how many times the base is used as a factor. 4² is an example of a number written in exponential notation. We use exponential notation as a shorter way of writing repeated multiplication.
4² is read as “4 to the second power“, “4 raised to the power of 2“, “the square of 4“, or “4 squared“.
Now, how about a cube of a whole number? Let’s try the following example.
A cube has edges 6 centimeters long. What is its volume?
[illustration: cube with each edge labeled 6 cm]
To find the volume of the cube:
Volume of the cube = 6 cm x 6 cm x 6 cm = 216 cm³
6 x 6 x 6 is called the cube of 6. We can write 6 x 6 x 6 as 6³.
6 is the base. 3 is the exponent. 6³ is read as: 6 cubed the cube of 6 6 to the third power 6 raised to the power of 3
6³
Let us look at more examples.
5⁴
5 is the base. 4 is the exponent. 5⁴ is read as: 5 to the fourth power 5 raised to the power of 4
5⁴ means 5 x 5 x 5 x 5.
3⁵
3 is the base. 5 is the exponent. 3⁵ is read as: 3 to the fifth power 3 raised to the power of 5
3⁵ means 3 x 3 x 3 x 3 x 3.
| Factored Form | Exponential Form | Base | Exponent |
|---|---|---|---|
| 1) 12 x 12 x 12 x 12 x 12 x 12 | 12⁶ | 12 | 6 |
| 2) 8 x 8 x 8 x 8 x 8 x 8 x 8 | 8⁷ | 8 | 7 |
| 3) 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 | 2⁸ | 2 | 8 |
| 4) 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 x 4 | 4⁹ | 4 | 9 |
| 5) 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 | 7¹⁰ | 7 | 10 |
What’s More
Complete the table. Write your answers on your answer sheet.
| Factored Form | Base | Exponent | Exponential Notation |
|---|---|---|---|
| 1) 2 x 2 x 2 x 2 x 2 x 2 x 2 | |||
| 2) 4 x 4 x 4 x 4 x 4 | |||
| 3) 10 x 10 x 10 | |||
| 4) 13 x 13 x 13 x 13 | |||
| 5) 9 x 9 x 9 x 9 x 9 x 9 |
What I Have Learned
- A number expressed in exponential notation is composed of a base and an exponent.
- It is a “shorthand” way of writing repeated multiplication.
- The base is the number used as a repeated factor and the exponent indicates the number of times you are going to multiply the base or is used as factor.
- The exponent is placed at the upper right side of the base.
What I Can Do
Complete the table below. Row one is done for you. Write your answers on your answer sheet.
| Exponential Notation | Read as… | Meaning | Factored Form | |
|---|---|---|---|---|
| 83 | 8 to the third power 8 cubed | 8 is used as a factor three times | 8 x 8 x 8 | |
| 1 | 59 | |||
| 2 | 64 | |||
| 3 | 412 | |||
| 4 | 125 | |||
| 5 | 71 |
Assessment
Read each item carefully. Then choose the letter of the correct answer. Write the answers on your answer sheet.
A shorter way of writing repeated multiplication is by using ___________.
- A. exponential notation
- B. base
- C. exponent
- . factors
[transcriber’s note: the option letter for “factors” is not printed; the line shows only “. factors” beside option B]
Which of the following statements is FALSE?
- A. The exponent tells us how many times the base is used as a factor.
- B. 7 is the base in 78.
- C. In an exponential notation, the base is the number used as a factor.
- D. 113 means that 3 is used as a factor 11 times.
In 1006, the number 6 is the ___________.
- A. factor
- B. exponent
- C. exponential notation
- D. base
In exponential notation, 9 x 9 x 9 x 9 x 9 x 9 x 9 is ___________.
- A. 7 x 9
- B. 79
- C. 97
- D. 9 x 7
The exponential notation 256 can be read as ___________.
- A. “25 times 6th power”
- B. “25 to the power of 6”
- C. “25 multiplied by 6”
- D. “6 times 25”
Which of the following exponential notation shows that 33 is used as a factor 6 times?
- A. 633
- B. 633
- C. 336
- D. 336
598 is read as ___________.
- A. 59 to the power of 8
- B. 5 to the 98th power
- C. 8 to the power of 59
- D. 8 raised to the 59th power
In a “Pass the Bag” game, Cris picked a rolled paper with the exponential notation 7007. Which is the correct repeated multiplication for it?
- A. 700 x 7
- B. 7 x 700
- C. 700 x 700 x 700 x 700 x 700 x 700 x 700
- D. 7 x 700 x 7 x 700 x 7 x 700 x 7 x 700 x 7
Which exponential notation is read as “119 raised to the power of 3”?
- A. 1192
- B. 1193
- C. 1194
- D. 1195
The given number is 2095. How will you write it into an exponential notation showing that 209 will be used as a factor 5 times?
- A. 2095
- B. 2095
- C. 2095
- D. 2095
Additional Activities
Complete the table using the given description or situation. Write your answers on your answer sheet.
| Description | Base | Exponent | Exponential Notation |
|---|---|---|---|
| 1) The number 7 is raised to the power of 11 | |||
| 2) 34 is used as a factor eight times. | |||
| 3) Letter x is the base. It is used as a factor 20 times. | |||
| 4) You are Dino’s friend. Help him identify the base and exponent in the exponential notation 866. | |||
| 5) Number 8 represents the number of times letter n is used as a factor. | |||
| 6) Mara holds a piece of paper with “74 cubed” written on it. | |||
| 7) The number whole number is 59. On its upper right side a smaller number 4 is written. | |||
| 8) The teacher instructed his pupils to write the exponential notation which means 45 is used as a factor 7 times. | |||
| 9) Steve’s answer to the problem is 19. He wants to raise it to the sixth power. | |||
| 10) Letter n represents the number of times 25 is used as a factor. |
Answer Key
What I Know
A 1)
B 2)
D 3)
C 4)
A 5)
C 6)
D 7)
B 8)
D 9)
D 10)
What’s In
81 1)
343 2)
64 3)
81 4)
1 024 5)
What’s More
| Exponential Form | Factor Form | Exponent | Base |
|---|---|---|---|
| 27 | 2x2x2x2x2x2x2 | 7 | 2 |
| 45 | 4x4x4x4x4 | 5 | 4 |
| 63 | 6x6x6 | 3 | 6 |
| 134 | 13x13x13x13 | 4 | 13 |
| 93 | 9x9x9 | 3 | 9 |
What I Can Do
| Exponential Form | Can be read as… | Factor Form | Meaning |
|---|---|---|---|
| 53 | 5 to the third power or 5 cubed | 5x5x5 | 5 is used as a factor three times |
| 64 | 6 to the fourth power | 6x6x6x6 | 6 is used as a factor four times |
| 45 | 4 to the fifth power | 4x4x4x4x4 | 4 is used as a factor five times |
| 82 | 8 to the second power or 8 squared | 8×8 | 8 is used as a factor 2 times |
| 74 | 7 to the fourth power | 7x7x7x7 | 7 is used as a factor 4 times |
Assessment
- A
- D
- B
- C
- B
- C
- A
- C
- B
- C
Additional Activities
| Description or Situation | Base | Exponent | Exponential Notation |
|---|---|---|---|
| 1) | 7 | 11 | 711 |
| 2) | 34 | 8 | 348 |
| 3) | x | 20 | x20 |
| 4) | 86 | 6 | 866 |
| 5) | n | 8 | n8 |
| 6) | 74 | 3 | 743 |
| 7) | 59 | 4 | 594 |
| 8) | 45 | 7 | 457 |
| 9) | 19 | 6 | 196 |
| 10) | 25 | n | 25n |
[transcriber’s note: the printed folio on this page reads 11]
What I Know
A. Read each item carefully. Then choose the letter of the correct answer. Write the answers on your answer sheet.
The exponential notation 5³ if evaluated will be equal to _________.
A. 15
B. 25
C. 115
D. 125In the easy category of a Math Quiz bee, the question read by the quiz master was “Evaluate: 11²”. Which will be the answer of the contestants in order to get a point?
A. 112
B. 121
C. 211
D. 228⁴ means the number 8 will be used as a factor four times. What will be the answer for this?
A. 4 094
B. 4 095
C. 4 096
D. 4 098Miss Gracia is a Mathematics teacher. She often gives challenges to her pupils. One morning, she placed a meta-strip with the expression 7 x 7 x 7 x 7 x 7 on the bulletin board with the note: “5 points will be given to pupils who can evaluate this correctly”. Who among the following pupils got the point?
A. Carol who answered 35.
B. Ram who answered 350.
C. Beth who answered 16 807.
D. Cris who answered 16 708.Which of the following exponential notations will give the value of 729 if evaluated?
A. 9 x 9 x 9
B. 9 x 9 x 9 x 9 x 9
C. 9 x 9 x 9 x 9
D. 9 x 9
B. Analyze and solve. Write your answers on your answer sheet.
Three raised to 5 is _______.
Evaluate x³ if x = 9
If a = 10, what is the value of a³?
Five raised to 6 is ______.
If b = 4, what is the value of b⁶?
[transcriber’s note: the printed folio on this page reads 12]
What’s New
Read and analyze the following problem.
Grace saved ₱3.00 on Day 1, ₱9.00 on Day 2, ₱27.00 on Day 3, ₱81.00 on Day 4, and so on. If the pattern continues, how much will she save on the 7th day? How much will be her total savings?
What is It
We can construct a table to help us solve the problem.
| Day | Savings |
|---|---|
| 1 | ₱3.00 |
| 2 | ₱9.00 |
| 3 | ₱27.00 |
| 4 | ₱81.00 |
| 5 | ? |
| 6 | ? |
| 7 | ? |
[transcriber’s note: beside rows 1 to 4 of the table, three arrows are each labeled “x 3”]
What do you observe in the pattern?
From the table above, we can see that her savings on Day 2 is three times her savings on Day 1 (₱3.00 x ₱3.00 = ₱9.00), her savings on Day 3 is thrice her savings on Day 2 (₱3.00 x (₱3.00 x ₱3.00) = ₱27.00, and so on.
We can continue the pattern to find Grace’s savings on Days 5, 6, and 7.
| Day | Repeated Multiplication | Exponential Notation | Savings |
|---|---|---|---|
| 1 | ₱3.00 | 3¹ | ₱3.00 |
| 2 | 3 x ₱3.00 | 3² | ₱9.00 |
| 3 | 3 x 3 x ₱3.00 | 3³ | ₱27.00 |
| 4 | 3 x 3 x 3 x ₱3.00 | 3⁴ | ₱81.00 |
| 5 | 3 x 3 x 3 x 3 x ₱3.00 | 3⁵ | ₱243.00 |
| 6 | 3 x 3 x 3 x 3 x 3 x ₱3.00 | 3⁶ | ₱729.00 |
| 7 | 3 x 3 x 3 x 3 x 3 x 3 x ₱3.00 | 3⁷ | ₱2 187.00 |
| Total ₱3 729.00 |
[transcriber’s note: the printed folio on this page reads 13]
Notice that we can write the amount of savings per day as repeated multiplication, which we can then write in exponential notation.
Answer: Grace will save ₱2 187.00 on Day 7. Her total savings in seven days will be ₱3 729.00.
Here are more examples.
9²
9² means 9 is used as a factor 2 times. 9² is 9 x 9 in expanded form. The value of 9² is 81.
4⁵
4⁵ means 4 is used as a factor 5 times. 4⁵ = 4 x 4 x 4 x 4 x 4 = 1 024. The value of 4⁵ is 1 024.
What’s More
Write each of the following in expanded form and find its value. Write your answers on your answer sheet.
| Exponential Notation | Expanded Form | Value |
|---|---|---|
| 1) 2⁷ | ||
| 2) 4⁵ | ||
| 3) 6³ | ||
| 4) 7⁴ | ||
| 5) 9³ |
What I Have Learned
To find the value of a number expressed in exponential notation, write the number as repeated multiplication. Then multiply to find the product.
[transcriber’s note: the printed folio on this page reads 14]
What I Can Do
Evaluate each expression. Write your answers on your answer sheet.
- 3⁴ = _______
- 4³ = _______
- 8² = _______
- 6³ = _______
- 7² = _______
- 9⁵ = _______
- 10⁴ = _______
- 80² = _______
- 12⁵ = _______
- 50³ = _______
Assessment
A. Give the value of each number and write your answers on your answer sheet.
The first item of your formative test states: “Evaluate 2⁷ = ______. Which will be the correct answer?
- A. 182
- B. 14
- C. 128
- D. 281
The following exponential notation if evaluated will give a three-digit product except one. Which one is it?
- A. 11²
- B. 10³
- C. 8³
- D. 12²
Which among the statements below is FALSE?
- A. If n = 7, then n³ is equal to 343.
- B. If p = 14, then p² = 169
- C. If y = 21, then y³ is 9 261.
- D. If h = 30, then h raised to the power of 2 is 900.
Which of the following exponential notations is equal to 1 936?
- A. 44²
- B. 33²
- C. 55²
- D. 22²
If n = 16, what exponent will be placed in □ to give a value of 4 096?
- A. 4
- B. 5
- C. 2
- D. 3
B. Analyze and solve. Write your answers on your answer sheet.
Eight raised to 5 is _______.
Evaluate x⁴ if x = 12
If a = 7, what is the value of a⁵?
Ten raised to 6 is _______.
If b = 8, what is the value of b⁵?
Additional Activities
A. Fill in the blank shape in each item. Write your answers on your answer sheet. The first item with missing value is done for you.
Legend: (oval) Value; (rectangle) Factored form or expression; (diamond) Exponential Notation
| Item | Exponential Notation (diamond) | Value (oval) | Factored Form or Expression (rectangle) |
|---|---|---|---|
| 1) | 15³ | 3 375 | 15 x 15 x 15 |
| 2) | 2 209 | 47 x 47 | |
| 3) | 14⁴ | 38 416 | |
| 4) | 200² | 200 x 200 | |
| 5) | 7 776 | 6 x 6 x 6 x 6 x 6 x 6 | |
| 6) | 5⁶ | 5 x 5 x 5 x 5 x 5 x 5 |
[transcriber’s note: in item 1 the value 3 375 is shaded in the original; the empty cells are the blank shapes to be filled in]
B. Give what is being asked. Write your answers on your answer sheet.
Think of an exponential notation to get the value of:
- 64 = _______
- 27 = _______
- 121 = _______
- 49 = _______
- 256 = _______
Answer Key
[transcriber’s note: this page is printed rotated 180 degrees; the entries below were read from the rotated layout, and uncertain readings are marked]
What I Can Do
- 81 — 6) 59 049 [?]
- 64 — 7) 10 000
- 64 — 8) 6 400
- 216 — 9) 248 832
- 49 — 10) 125 000
Assessment
A.
- C
- B
- B
- A
- D
B. 6) 32 768 7) 20 736 8) 16 807 9) 1 000 000 10) 32 768
Additional Activities
A.
- 3 375
- 47²
- 14 x 14 x 14 x 14
- 40 000
- 6⁵
- 15 625
B.
- 2⁶, 8², 4³
- 3³
- 11²
- 7²
- 16²
What I Know
A.
- D
- B
- C
- C
- A
- 243
- 729
- 1 000
- 15 625
- 4 096
What’s In
A.
| Item | Base | Exponent | Meaning |
|---|---|---|---|
| 1) | 2 | 5 | 2x2x2x2x2 |
| 2) | 3 | 4 | 3x3x3x3 |
| 3) | 8 | 2 | 8×8 |
| 4) | 13 | 3 | 13x13x13 |
| 5) | 20 | 5 | 20x20x20x20x20 |
B.
- 5 4 [?]
- 4 6 [?]
- 11 6 [?]
- 250 3 [?]
- 26 7 [?]
[transcriber’s note: the B entries are printed in a rotated, interleaved layout; the order of base and exponent in each entry is uncertain]
What’s More
| Value | Expanded Form |
|---|---|
| 128 | 2x2x2x2x2x2x2 (1) |
| 1 024 | 4x4x4x4x4 (2) |
| 216 | 6x6x6 (3) |
| 2 401 | 7x7x7x7 (4) |
| 729 | 9x9x9 (10) |
[transcriber’s note: the item numbers are shown as printed; the last row is labeled “10)” in the original]
References
- DepEd Most Essential Learning Competencies (MELC) for Mathematics 6
- Bureau of Elementary Education, Department of Education 2010, Lesson Guide in Elementary Mathematics 6, Book Media Press, Inc., 319-323
- Bureau of Elementary Education, Department of Education, Distance Education for Elementary Schools, Self-Instructional Materials on Exponents
CO_Q2_Mathematics6_Module6
For inquiries or feedback, please write or call:
Department of Education – Bureau of Learning Resources (DepEd-BLR)
Ground Floor, Bonifacio Bldg., DepEd Complex Meralco Avenue, Pasig City, Philippines 1600
Telefax: (632) 8634-1072; 8634-1054; 8631-4985
Email Address: blr.lrqad@deped.gov.ph * blr.lrpd@deped.gov.ph
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