This is the Grade 6 Mathematics self-learning module for Quarter 1, Module 6: “Subtracting Decimals and Mixed Decimals Through Ten Thousandths.” It is an Alternative Delivery Mode module from DepEd Region VI, First Edition 2020, made for learners studying at home or in class. After it, learners can subtract decimals with and without regrouping and use subtraction to solve word problems.
What learners will learn
After going through this module, learners are expected to:
- subtract decimals and mixed decimals through ten thousandths without regrouping (M6NS-Id-106.2);
- subtract decimals and mixed decimals through ten thousandths with regrouping (M6NS-Id-106.2); and
- solve one-step or multi-step routine and non-routine problems involving addition and/or subtraction of decimals and mixed decimals using appropriate problem-solving strategies and tools (M6NS-Id-108.2).
Lessons in this module
- Lesson 1: Subtracting Decimals and Mixed Decimals through Ten Thousandths without Regrouping. Learners line up decimal points and subtract place by place, where every digit on top is big enough to subtract from.
- Lesson 2: Subtracting Decimals and Mixed Decimals through Ten Thousandths with Regrouping. Learners subtract when they need to borrow from the next place. They also solve word problems with a four-step method and the block model strategy.
Subtracting decimals step by step
Both lessons use the same rule. When two decimals are subtracted:
- align the decimal points in a straight column;
- use 0 as a placeholder if needed;
- subtract just like whole numbers, regrouping if necessary;
- place a decimal point in the difference; and
- align that decimal point with the decimal points in the minuend (the top number) and the subtrahend (the number being taken away).
Without regrouping (Lesson 1)
Lesson 1 starts with Joyce. She walks 2.6793 kilometers from home to school, but first stops at her aunt’s house, 1.3201 kilometers from home. How far is it from her aunt’s house to school? The module subtracts from right to left:
| Place | Subtraction |
|---|---|
| Ten thousandths | 3 – 1 = 2 |
| Thousandths | 9 – 0 = 9 |
| Hundredths | 7 – 2 = 5 |
| Tenths | 6 – 3 = 3 |
| Ones | 2 – 1 = 1 |
So 2.6793 – 1.3201 = 1.3592, and Joyce walks 1.3592 kilometers.
With regrouping (Lesson 2)
Lesson 2 starts with Jacob, who buys shoes for ₱245.78 and pays with ₱250.00. Learners write the numbers in a column and fill empty places with zeros. Then they subtract from right to left, starting with the hundredths, then tenths, then ones, tens, and hundreds. They regroup (borrow) when the top digit is smaller. The answer is ₱250.00 – ₱245.78 = ₱4.22, so Jacob’s change is ₱4.22.
Solving word problems
Lesson 2 teaches four steps for word problems:
- Understand: What is asked, and what facts are given?
- Plan: Which operation will you use, and what is the number sentence?
- Solve: Line up the decimal points and compute.
- Check: Test the answer, for example by adding it back.
In the first example, Mrs. Aligado has ₱2 457.95 and spends ₱1 236.05 on food. The number sentence is ₱2 457.95 – ₱1 236.05 = N, so she has ₱1 221.90 left. To check, ₱1 236.05 + ₱1 221.90 = ₱2 457.95.
The second example uses the block model strategy. Apples and grapes cost ₱235.50 together, and the grapes cost ₱93.50 more than the apples. The apples are one block, and the grapes are one block plus ₱93.50:
- Take away the extra amount: ₱235.50 – ₱93.50 = ₱142.00 for two equal blocks.
- Divide: ₱142.00 ÷ 2 = ₱71.00 for one block, the cost of the apples.
- Add: ₱71.00 + ₱93.50 = ₱164.50, the cost of the grapes.
The check confirms it: ₱164.50 + ₱71.00 = ₱235.50, and ₱164.50 – ₱71.00 = ₱93.50.
How to use this module
Each lesson follows the same order. It starts with a pretest (What I Know), then a short review (What’s In) and a new problem (What’s New). Next come the discussion (What is It), practice (What’s More), and a summary (What I Have Learned). It ends with an application task (What I Can Do), an Assessment, and Additional Activities. Answer keys for every activity and test are at the end of each lesson.
- Learners: Take the pretest first to see what you already know. Write all answers on a separate answer sheet, not on the module. Use the answer key honestly, only after you finish.
- Parents: Help your child line up the decimal points and work through the word problems. Many use everyday situations like money, distances, and weights.
- Teachers: The Assessment and Additional Activities in each lesson give ready practice sets with answers. The Lesson 2 word problems review addition as well as subtraction of decimals.
If learners have trouble with any task, the module tells them to ask their teacher or facilitator.
Frequently asked questions
What grade and quarter is this module for?
It is for Grade 6 Mathematics, Quarter 1, Module 6. It covers subtracting decimals and mixed decimals through ten thousandths.
What is the difference between the two lessons?
Lesson 1 covers subtraction without regrouping, where no borrowing is needed. Lesson 2 covers subtraction with regrouping and also teaches word problem solving, including the block model strategy.
Does the module have an answer key?
Yes. Each lesson ends with an answer key for the pretest, practice activities, Assessment, and Additional Activities.
What is the block model strategy?
It shows quantities as blocks to make a word problem easier to see. In the module’s example, the apples are one block and the grapes are one block plus ₱93.50, which helps find that the grapes cost ₱164.50.
What competencies does the module cover?
It covers M6NS-Id-106.2 (subtracting decimals and mixed decimals through ten thousandths, with and without regrouping) and M6NS-Id-108.2 (solving problems involving addition and/or subtraction of decimals).
Full text of the module
The text below is a transcription of the PDF above, as printed.
Mathematics Quarter 1 – Module 6: Subtracting Decimals and Mixed Decimals Through Ten Thousandths
Mathematics
Quarter 1 – Module 6: Subtracting Decimals and Mixed Decimals Through Ten Thousandths
6
CO_Q1_Mathematics6_Module6
[illustration: learners studying at home under a tree, at a table, and beside a lamp, with a globe]
[illustration: a sign reading “Government Property, Not for Sale”]
Mathematics – Grade 6 Alternative Delivery Mode Quarter 1 – Module 6: Subtracting Decimals and Mixed Decimals Through Ten Thousandths First Edition, 2020
Republic Act 8293, section 176 states that: No copyright shall subsist in any work of the Government of the Philippines. However, prior approval of the government agency or office wherein the work is created shall be necessary for exploitation of such work for profit. Such agency or office may, among other things, impose as a condition the payment of royalties.
Borrowed materials (i.e., songs, stories, poems, pictures, photos, brand names, trademarks, etc.) included in this book are owned by their respective copyright holders. Every effort has been exerted to locate and seek permission to use these materials from their respective copyright owners. The publisher and authors do not represent nor claim ownership over them.
Published by the Department of Education Secretary: Leonor Magtolis Briones Undersecretary: Diosdado M. San Antonio
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_________________________
Development Team of the Module
Author: Charlyn Joy Alingalan Estimera
Editors: Ma. Portia G. Galanto, Rebecca O. Billones, and Collin G. Sales
Reviewers: Rosemarie D. Aclan and Collin G. Sales
Illustrator: Charlyn Joy A. Estimera
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
6
Mathematics
Quarter 1 – Module 6: Subtracting Decimals and Mixed Decimals Through Ten Thousandths
Introductory Message
This Self-Learning Module (SLM) is prepared so that you, our dear learners, can continue your studies and learn while at home. Activities, questions, directions, exercises, and discussions are carefully stated for you to understand each lesson.
Each SLM is composed of different parts. Each part shall guide you step-by-step as you discover and understand the lesson prepared for you.
Pre-tests are provided to measure your prior knowledge on lessons in each SLM. This will tell you if you need to proceed on completing this module or if you need to ask your facilitator or your teacher’s assistance for better understanding of the lesson. At the end of each module, you need to answer the post-test to self-check your learning. Answer keys are provided for each activity and test. We trust that you will be honest in using these.
In addition to the material in the main text, Notes to the Teacher are also provided to our facilitators and parents for strategies and reminders on how they can best help you on your home-based learning.
Please use this module with care. Do not put unnecessary marks on any part of this SLM. Use a separate of paper in answering the exercises and tests. And read the instructions carefully before performing each task.
If you have any questions in using this SLM or any difficulty in answering the tasks in this module, do not hesitate to consult your teacher or facilitator.
Thank you.
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 subtracting decimals and mixed decimals through ten thousandths. The scope of this module permits it to be used in many different learning situations. The language used recognizes the diverse vocabulary level of students. 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 – Subtracting Decimals and Mixed Decimals through Ten Thousandths without Regrouping
- Lesson 2 – Subtracting Decimals and Mixed Decimals through Ten Thousandths with Regrouping
After going through this module, you are expected to:
- subtract decimals and mixed decimals through ten thousandths without regrouping; (M6NS-Id-106.2)
- subtract decimals and mixed decimals through ten thousandths with regrouping; (M6NS-Id-106.2) and
- solve one or more steps routine and non-routine problems involving addition and/or subtraction of decimals and mixed decimals using appropriate problem-solving strategies and tools. (M6NS-Id-108.2)
What I Know
Find the value of N. Write in column and subtract. Write your answers on your answer sheet.
Example: 89.3926 – 16.0103 = N
Solution:
89.3926
- 16.0103
----------
73.3823
1.) 23.6739 – 2.3219 = N
2.) 56.9035 – 22.8012 = N
3.) 229.5629 – 118.0019 = N
4.) 5 009.2896 – 1 008.1154 = N
5.) 59.0391 – 48.02 = N
6.) 31.5069 – 21.4041 = N
7.) 78.0919 – 23.0010 = N
8.) 52.7306 – 3.0004 = N
9.) 639.7901 – 308.680 = N
10.) 56.9270 – 22.9170 = N
Lesson 1: Subtracting Decimals and Mixed Decimals through Ten Thousandths Without Regrouping
In this lesson you will learn how to subtract decimals through ten thousandths without regrouping.
What’s In
Subtract the following. Write your answers on your answer sheet.
0.973 – 0.540
9.698 – 6.540
0.489 – 0.270
298.830 – 120.200
What’s New
Read the problem and try to understand it.
Joyce loves to take a walk from home to school every morning. The distance of school from their home is 2.6793 kilometers. Before going to school, her mother asked her to deliver the bread to her aunt on the next block which is 1.3201 kilometers away from their home. How many kilometers she needs to walk from her aunt’s house to school?
What is It
What is asked in the problem? Can you solve the given problem? What process will you use to find the answer?
Here are the steps to solve it.
- Write and arrange the numbers vertically. Align the decimal points.
2.6793
- 1.3201
- Subtract the ten thousandths place.
2.6793
- 1.3201
----------
2
3 – 1 = 2
- Subtract the thousandths place.
2.6793
- 1.3201
----------
92
9 – 0 = 9
- Subtract the hundredths place.
2.6793
- 1.3201
----------
592
7 – 2 = 5
[transcriber’s note: in the original, the digits being subtracted at each step are shown in highlighted boxes within the column; the highlighting is not reproduced here]
- Subtract the tenths place.
2.6793
- 1.3201
--------
3592
6 – 3 = 3
- Place the decimal point.
2.6793
- 1.3201
--------
.3592
- Subtract the whole numbers. Subtract the ones.
2.6793
- 1.3201
--------
1.3592
2 – 1 = 1
So, 2.6793 – 1.3201 = 1.592
[transcriber’s note: the printed result in the line above reads 1.592; the vertical subtraction shown on this page gives 1.3592]
Therefore, 1.3592 kilometers is the distance that Joyce needs to walk.
345.6789
- 231.5702
----------
114.1087
Example: 345.6789 – 231.5702 = N
1.) 32.569 – 21.231 = N
2.) 5.0971 – 3.0450 = N
3.) 86.789 – 2.56 = N
4.) 23.9062 – 13.8061 = N
5.) 132.9998 – 10.5390 = N
What’s More
Find the value of N. Arrange the decimals vertically and perform the indicated operation. Write your answers on your answer sheet.
What I Have Learned
When two decimals are subtracted,
- align the decimal points in a straight column.
- use 0 as placeholder if needed.
- subtract just like subtracting whole numbers.
- place a decimal point in the difference.
- align the decimal point in the difference with the decimal points in the minuend and subtrahend.
What I Can Do
A. Find the value of N. Write your answers on your answer sheet.
1.) 28.8967 – 13.7601 = N
2.) 97.8949 – 25.0320 = N
3.) 56.3929 – 31.3008 = N
4.) What is the difference if 2.3160 subtracted from 6.5165?
5.) If 63.9813 subtracted from 93.9986, what is the difference?
B. Read and solve. Show your solutions on your answer sheet.
6.) Geovy Marielle savings account balance earned ₱253.41 interest and her balance now is ₱8 998.76. How much was the balance in her savings account before she earned the interest?
7.) If you add 34.2576 to the difference of 75.6974 and 34.6671, what will be the result?
Assessment
Find the value of N. Write in column and subtract. Write your answers on your answer sheet.
1.) 56.9830 – 23.450 = N
2.) 45.7834 – 44.7822 = N
3.) 6 790.6397 – 450.5246 = N
4.) 37.9076 – 4.8060 = N
5.) 147.8206 – 23.6004 = N
6.) 329.4598 – 210.2321 = N
7.) 131.0637 – 30.0527 = N
8.) 349.3281 – 221.1140 = N
9.) 0.9821 – 0.7820 = N
10.) 459.0957 – 213.0931 = N
Additional Activities
A. Find the value of N. Write your answers on your answer sheet.
1.) 42.8986 – 2.3783 = N
2.) 65.9341 – 22.9231 = N
3.) 562.9120 – 430.6010 = N
4.) 72.1274 – 12.0021 = N
5.) 1 432.5228 – 21.422 = N
B. Solve the following problems. Show your solution on your answer sheet.
6.) Mang Jose needs ₱8 569.98 to buy plane tickets for a family vacation in Manila. He has saved ₱4 318.75 for the plane ticket. How much more does he need for the plane ticket?
7.) The highest temperature yesterday was 19.99°C? The lowest temperature was 14.66°C. Find the difference between these two temperatures.
8.) Flor a fruit vendor buys 56.205 kilograms of mangoes to increase her stocks. She has now a total stock of 97.6081 kilograms of mangoes. How many kilograms are there on her stocks before adding her new stocks?
9.) The narra tree is 25.789 meters tall. The mango tree is 3.362 meters shorter than the narra tree. How tall is the mango tree?
10.) Portia deposits ₱234.85 in her savings account. She has now a total of ₱1,479.97 in her account. How much was her account before the deposit?
Answer Key
[transcriber’s note: this page is printed rotated 180 degrees; the answers below were read from the rotated image. The What I Know answers could not be matched by arithmetic to the problems on page 5, so they are transcribed as read.]
What I Know
- 21.3520
- 34.1023
- 111.5610
- 4 001.1742
- 11.1910 [?]
- 10.1028
- 55.0909
- 49.7302
- 331.1101 [?]
- 34.01 [?]
What’s In
- 0.433 [?]
- 0.219 [?]
- 3.158 [?]
- 178.630 [?]
What’s More
- 11.338
- 2.0521
- 84.229
- 10.1001
- 122.4608
What I Can Do
A.
- 15.1366
- 72.8629
- 25.0921
- 4.2005
- 30.0173
B.
- ₱8 745.35
- 75.2879
Assessment
- 33.533
- 1.0012
- 6 340.1151
- 33.1016
- 124.2202
- 119.2277
- 101.011
- 128.2141
- 0.2001
- 246.0026
Additional Activities
A.
- 40.5203
- 43.0110
- 132.3111
- 60.1253
- 1 411.1008
B.
- ₱4 251.23
- 5.33°C
- 41.4031 kilograms
- 22.427 meters
- ₱1 245.12
What I Know
Find the value of N. Write in column and subtract. Regroup if necessary. Write your answers on your answer sheet.
Example: 79.3216 – 16.0107 = N
Solution:
01
79.3216
- 16.0107
---------
63.3109
1.) 96.8902 – 23.7810 = N
2.) 390.1289 – 210.3860 = N
3.) 9.2896 – 8.1159 = N
4.) 56.9012 – 29.8901 = N
5.) 99.0391 – 48.12 = N
6.) 321.4041 – 316.3029 = N
7.) 689.092 – 345.191 = N
8.) 639.7901 – 308.680 = N
9.) 22.8012 – 13.0092 = N
10.) 3 890.23 – 26.2369 = N
Lesson 2: Subtracting Decimals and Mixed Decimals through Ten Thousandths With Regrouping
This lesson will help you understand the skills in subtracting decimals and mixed decimals through ten thousandths with regrouping.
What’s In
“Climb the Ladder”
Find the value of n by getting the difference of the given numbers. Write your answers on your answer sheet.
Congratulations!
5.) 17.395 – 9.267 = n
4.) 90.475 – 0.383 = n
3.) 22.750 – 0.249 = n
2.) 109.868 – 1.094 = n
1.) 26.793 – 0.026 = n
What’s New
Read and understand the problem.
Jacob went to the department store to buy a pair of shoes. He bought a pair of shoes for ₱245.78. He gave the cashier the amount of ₱250.00. How much change did he receive?
What is It
What information is given in the problem? How are you going to solve for it?
Here are the steps to solve it.
- Write and arrange the numbers vertically. Align the decimal points. Fill in the empty spaces with zero.
250.00
- 245.78
--------
- Subtract from right to left, column by column. Regroup if necessary.
4 9 9 10
250.00
- 245.78
--------
004.22
[chart: labeled diagram of the vertical subtraction; the labels are printed as follows]
- Subtract the decimal numbers.
- Start with hundredths.
- tenths
- Write the decimal point.
- Subtract the whole numbers.
- ones
- tens
- hundreds
So, ₱250.00 – ₱245.78 = ₱4.22.
Therefore, Jacob’s change is ₱4.22.
Now that you are already familiar with the steps on how to subtract decimals without or with regrouping, you can move on studying the problem below.
Example 1:
Mrs. Aligado has ₱2 457.95 in her purse. Her daughter asked her to buy their food supply and she spent ₱1 236.05. How much money had she left?
To solve the problem above, follow these steps:
Understand:
a. What is asked?
Answer: The amount of money that is left.
b. What are the given facts?
Answer: ₱2 457.95 – the money in her purse ₱1 236.05 – the money spent for the food supply
Plan:
a. What is the operation to be used?
Answer: subtraction
b. What is the number sentence?
Answer: ₱2 457.95 – ₱1 236.05 = N
Solve:
Show your computation:
Subtract ₱2 457.95 – ₱1 236.05 = N
- Line up the decimal points
2457.95
- 1236.05
- Subtract the numbers. Regroup if needed.
2457.95
- 1236.05
--------
1221.90
Answer: ₱1 221.90 is the amount of money left with Mrs. Aligado.
Check:
Check your answer. This is one way on how to check if the answer is correct.
1236.05 the money spent for food supply
+ 1221.90 the money left with Mrs. Aligado
--------
2457.95 the money inside her purse
Example 2:
The cost of apples and grapes is ₱235.50. The grapes cost ₱93.50 more than the apples. Find the cost of the grapes.
To solve the problem above, follow these steps:
Understand:
a. What is asked?
Answer: The cost of the grapes
b. What are the given facts?
Answer: ₱235.50 – the cost of apples and grapes ₱93.50 – the cost of grapes more than the apples
Plan:
a. What is the word/phrase clue?
Answer: cost of the grapes
c. What is the operation to be used?
Answer: subtraction, division and addition
[transcriber’s note: the printed list goes from “a.” to “c.” with no “b.” in this part; reproduced as printed]
d. What strategy you are going to use?
Answer: Block Model Strategy
Solve:
To find for the cost of the grapes you will solve the problem by using the block model strategy.
[chart: block model; Apple and Grapes bars with the total ₱235.50 shown beside them]
Apple = ☐ Grapes = ☐ ₱93.50
₱235.50
In the illustration above, the total cost of two equal units and the other bigger unit which is P93.50 is P235.50.
2 of ☐ + ₱93.50 = ₱235.50
Notice that out of 3 units, the bigger unit is ₱93.50 while the other 2 equal units don’t have value yet. That’s what you will solve for.
To solve for the 2 equal units, you need to take away ₱93.50 from ₱235.50.
2 of ☐ = ₱235.50 – ₱93.50 2 of ☐ = ₱142.00
Then, for the value of 1 unit, you need to divide P142.00 by 2.
1 ☐ = ₱142.00 ÷ 2 1 ☐ = ₱71.00
So, you can say now that each unknown or equal unit is ₱71.00.
This time you place value to each block and solve for the cost of each fruit.
To get the cost of each fruits, you need to substitute the value of each unit. For the apples, it is understood that 1 unit is equal to ₱71.00. For the grapes, add the value of the smaller unit which is ₱71.00 to the bigger unit which is ₱93.50.
[chart: block model; Apples and Grapes blocks with values labeled]
Apples ₱71.00 = ₱71.00 Grapes ₱71.00 ₱93.50 = ₱164.50
Therefore, the cost of grapes is ₱164.50.
242.2348 397.6819
- ₱235.50
₱ 93.50
[transcriber’s note: the lines above are stray fragments printed at the top of this page; reproduced as they appear]
Check: This is one way on how to check if the answer is correct.
+ ₱164.50 Cost of the grapes
₱ 71.00 Cost of apples
₱235.50 Total cost of apples and grapes
- ₱164.50 Cost of the grapes
₱ 71.00 Cost of apples
₱ 93.50
Therefore, the cost of grapes is ₱93.50 more than the cost of apples.
What’s More
Arrange the decimals vertically and subtract the following mixed decimals. Write your answers on your answer sheet.
Example: 397.6819 – 242.2348 = N
Solution:
397.6819
- 242.2348
----------
155.4471
[transcriber’s note: a small handwritten-style regrouping mark “71” appears above the digits 6 and 8 of the minuend]
1.) 34.9849 – 0.5923 = N
2.) 76.9078 – 65.4079 = N
3.) 139.9619 – 36.2835 = N
4.) 114.983 – 23.8646 = N
5.) Jessie has 8.5 kilograms of fish more than Shiela. They have 39.5 kilograms of fish altogether. Find the weight of fish Jessie has.
What I Have Learned
When two decimals are subtracted,
- align the decimal points in a straight column.
- use 0 as placeholder if needed.
- subtract just like subtracting whole numbers. Regroup if necessary.
- place a decimal point in the difference.
- align the decimal point in the difference with the decimal points in the minuend and subtrahend.
What I Can Do
A. Subtract the following mixed decimals. Write your answers on your answer sheet.
1.) 89.8996 – 43.9697 = N
2.) 28.5692 – 17.4980 = N
3.) 96.8405 – 90.6914 = N
4.) Subtract 2.523 from 5.094.
5.) What is 34.9639 decreased by 21.8991?
B. Read and solve the problems. Write your answers on your answer sheet.
6.) Marvie saved ₱1 755.45 from her earnings from selling calamansi juice each month. On the first month, she saved ₱585.45. On the second month, she saved ₱195.45 less than the first month. And on the third month she saved twice as much as the second month. How much money did she save in the second month? And on the third month?
7.) A working table is 5.3854 feet long. It is to be extended just a little to 8.0732 feet. How long does it extend?
Assessment
Find the value of N. Write in column and subtract. Write your answers on your answer sheet.
1.) 98.30 – 23.9045 = N
2.) 7.8354 – 4.7822 = N
3.) 970.6937 – 450.5246 = N
4.) 67.6709 – 29.8915 = N
5.) 127.2866 – 23.6974 = N
6.) 674.9145 – 219.2328 = N
7.) 182.6032 – 109.0527 = N
8.) 493.8321 – 227.1140 = N
9.) 45.9021 – 20.7829 = N
10.) Zyah, Kara and Shaina have ₱457.75 together. Kara has ₱15.25 more than Zyah, and Shaina has twice as much money as Kara. How much money does each of them have?
Additional Activities
A. Subtract the following mixed decimals. Write your answers on your answer sheet.
1.) 52.8982 – 22.3783 = N
2.) 56.4391 – 33.9831 = N
3.) 1 562.8340 – 40.6719 = N
4.) 291.2304 – 82.0921 = N
5.) 2.5268 – 1.432 = N
B. Solve the following problems. Write your answers on your answer sheet.
6.) Lalyn has ₱550.75 but she owes Collin ₱1100.55. She received a certain amount as gift. After paying her debt, she had ₱1 200.00 left. How much did she receive?
7.) A pail holds 7.23 liters of water. A water container holds 4.96 liters less water than the pail. What is the volume of water in the water container?
8.) You are craving for mango float. Your recipe needs 3.5 kilograms of mangoes. If you have 1.783 kilograms of mangoes, how many more kilograms do you need?
9.) The textile store had to restock their supply of materials. The store owner ordered 320.25 meters of new materials which were delivered on Saturday. On Monday, they sold 35.473 meters of the new stock. On Tuesday, they sold 44.599 meters, and on Wednesday 63.756 meters. How many meters of materials were left for the next day/s?
10.) The distance between two consecutive nails in the inner and outer square frames is 1.35 centimeters. Alice used 20 equidistant nails around the bigger frame. What is the difference in the perimeter of the outer frame and the inner frame? (Figures are not drawn to scale.)
[illustration: two concentric square frames with nails along the inner square; a brace labeled 1.35 cm marks the distance between two consecutive nails on one side]
Label: 1.35 cm
Answer Key
[transcriber’s note: the answer key table is printed upside down and rotated; its columns are reproduced below in reading order, with items in each column as printed]
What I Know
- 73.1092
- 179.7429
- 1.1737
- 27.0111
- 50.9191
- 5.1012
- 343.901
- 331.1101
- 9.792
- 3 863.9931
What’s More
- 34.3926
- 11.4999
- 103.6784
- 91.1184
- 24 kilograms
What I Can Do
A.
- 45.9299
- 11.0712
- 6.1491
- 2.571
- 13.0648
B. 6) 2nd month-₱390.00 3rd month-₱780.00 7) 2.6878 feet
Assessment
- 74.3955
- 3.0532
- 520.1691
- 37.7794
- 103.5892
- 455.6817
- 73.5505
- 266.7181
- 25.1192
- Zyah-₱103.00
Kara-₱118.25
Shaina-₱236.50
Additional Activities
A.
- 30.5199
- 22.456
- 1 522.1621
- 209.1383
- 1.0948
B. 6) ₱1 749.80 7) 2.27 liters 8) 1.717 kilograms 9) 176.422 meters 10) 10.8 centimeters
Reference:
- Most Essential Learning Competencies (MELC) in Mathematics 6
CO_Q1_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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