CO_Q2_Math5_Module5 Mathematics Quarter 2 – Module 5 Adding and Subtracting Decimal Numbers Through Thousandths 5
Mathematics – Grade 5 Alternative Delivery Mode Quarter 2 – Module 5: Adding and Subtracting Decimal Numbers Through 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 the exploitation of such work for a 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 VIII Office Address: DepEd Regional Office No. 8 Candahug, Palo, Leyte Telefax: 053 - 832- 2997 E-mail Address: [email protected] Development Team of the Module Writer: Editha T. Montermoso Editors: Maria Niann L. Atis, Sarah May M. Balan, Lido C. Manicane Reviewers: Renato S. Cagomoc, Rolando Lacbo, Joshua Sherwin T. Lim, Nicanor S. Montad, Jr., Herminia S. Balanay, Bayani B. Adona, Illustrator: Manuel Y. Sapinit Jr. Layout Artist: Joey Sustitudo Management Team: Ramir B. Uytico Arnulfo R. Balane Rosemarie M. Guino Joy B. Bihag Ryan R. Tiu Sarah S. Cabaluna Thelma Cabadsan-Quitalig Elena S. De Luna Renato S. Cagomoc Noel E. Sagayap Geraldine P. Sumbise Joshua Sherwin T. Lim
5 Mathematics Quarter 2 – Module 5 Adding and Subtracting Decimal Numbers Through Thousandths
ii 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-bystep 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 sheet 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. Good luck and happy learning!
1 CO_Q2_Math5_Module5 What I Need to Know This module was designed to help you master the concepts of decimal numbers. 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. Hello, Mathletes! We deal with the addition and subtraction of decimals in everyday life. It takes a very big role in our day- to –day living in dealing with money, measurement, and temperature. In this module, you are going to engage in adding and subtracting decimal numbers through thousandths with and without regrouping. After going through this module, you are expected to: 1. add decimal numbers through thousandths with and without regrouping; 2. subtract decimal numbers through thousandths with and without regrouping; and 3. solve routine or non-routine problems involving addition and subtraction of decimal numbers including money using appropriate problem solving strategies and tools. M5NS-llb-106.1
2 CO_Q2_Math5_Module5 What I Know Directions: Choose the letter of the best answer. Write the chosen letter on a separate sheet of paper. 1) Add: 0.48 + 0.009 A. 0.489 B. 0.498 C. 1.38 D. 0.49 2) Subtract: 9.2 – 3.2 A. 4 B. 5 C. 6 D. 7 3) What is the difference when 0.924 is subtracted from 1.677? A. 1.537 B. 1.247 C. 0.75 D. 0.753 4) What is the sum of 18.16 and 16.18? A. 34.214 B. 34.4 C. 37.44 D. 34.34 5) What is the result when 0.328 is taken away from 1.1? A. 0.672 B. 0.772 C. 1.428 D. 0.770 6) 43.68 increased by 32.94 is equal to ________________. A. 76.62 B. 76.52 C. 75.62 D. 76.60 7) In subtracting 3.999 from 4.762, what will you do first? A. subtract the numbers right away B. add the numbers C. write the numbers in vertical column, aligning the decimal points D. put the decimal point in the answer 8) Ronie spent 3.25 hours on the first day of his training for the sports tournament. On the second day, he spent 4.75 hours. On the third day, he spent 5.6 hours. How many hours in all did he spend for his 3–day training? A. 12.06 B. 13.6 C. 14.2 D. 14.0
3 CO_Q2_Math5_Module5 9) Ana has P13.65, Mia has P9.42, and Jonard has P16.72. How much money do they have in all? A. P 12.49 B. P 38.179 C. P 39.79 D. 39.8 10) A pair of rubber shoes cost P320.45. Edelyn has saved only P194.50. How much does she still need to buy the shoes? A. P125.95 B. P126.05 C. P131.50 D. 125.10
4 CO_Q2_Math5_Module5 Lesson 1 Adding and Subtracting Decimal Numbers Through Thousandths What’s In Let us read, analyze and solve the problem below. To know how much was in the account, add the decimal numbers by arranging the numbers in column and by aligning the decimal point and the digits that belong to the same value. Then, add or subtract the digits and check the answer. 1 Php 950.808 + 9.501 There was Php 960.309 in the savings account. Solve the following: 1. 2. 3. 4. 5. 28.501 -10.295 = ____ Riz put Php950.00 into a savings account. After a while, Php9.50 is added to it. How much was in the account then? 32.587 +19.630 37. 219 + 0. 317 0.285 + 37.215 98.724 – 15.561= ____
5 CO_Q2_Math5_Module5 What’s New In this lesson you will apply your knowledge of adding and subtracting decimals by using a food menu to stimulate a real-world restaurant experience. Shown below are some food items and their corresponding prices in a local Restaurant. Situation: If Mrs. de Guzman orders 1 veggie meal, 2 chicken spaghetti meals, and 1 seafood meal, how much does she have to pay? If she has Php.500.00, how much money was left to her? You can pretend yourself as a waiter of the restaurant. Take note of the items being ordered including their prices. While Mrs. de Guzman is eating, you can try to solve as to how much amount she will be paying afterwards. MENU Fried Chicken Meal………. Php 57.50 Spaghetti meal……………… Php 48.50 Chicken spaghetti meal…. Php 89.75 Hotdog Sandwich Meal… Php 42.25 Cheeseburger Meal………. Php 45.50 Beefsteak Meal……………. Php 75.50 Seafood Meal……………… Php 98.00 Veggie Meal………………. Php 42.25
6 CO_Q2_Math5_Module5 What Is It In your study of addition and subtraction, you have learned to add and subtract numbers easily even with place values up to hundredths or thousandths. You will also do the same with adding and subtracting decimals through thousandths. Study the process below and follow the example given on page 5. When adding and subtracting decimals, align the decimal points in a column, then perform the indicated operation as you do with whole numbers. Remember to regroup when necessary. Php 42.25 - Veggie Meal 89.75 - Chicken Spaghetti Meal + 89.75 - Chicken Spaghetti Meal 98.00 - Seafood Meal Php 319.75 – the amount Mrs. De Guzman has to pay. Php 500.00 - 319.75 Php 180.25 -Money left of Mrs. De Guzman
7 CO_Q2_Math5_Module5 Practice Activity: Directions: Use grids to add and subtract decimals. 1) Find the sum of 0.4 and 0.7. Follow the steps below: a. Shade 0.4 on a tenths grid. b. On the same grid, shade 0.7 in another color. c. Write the sum as a decimal. ____ 2) Subtract 0.4 from 1.6. a. Shade 1.6 on the tenths grid. b. Cross out 0.4 of the shaded part. c. Write the difference as a decimal. ____ Example No. 1: The milkman rode 0.22 kilometers to make his first delivery of milk and 0.04 kilometers to make the second delivery. How far did he travel in delivering milk? We can solve the problem above by following these steps: Step 1: Write the decimals in column form. Align the decimal points. 0.22 + 0.04 Step 2: Add as in whole numbers. Add the digits belonging to the same decimal place. 0.22 + 0.04 0 26
8 CO_Q2_Math5_Module5 Step 3: Write the decimal point in the sum. 0.22 + 0.04 0.26 To add/subtract decimals, align the decimal points in a straight column. Add/ subtract as in whole numbers. Use the decimal point to separate the whole numbers from the decimal numbers in the sum/difference. Regroup the decimals if necessary. Example No. 2: Subtract 0.15 from 0.832 Solution: Subtract the decimals in column form. Put extra zeros to the right of the decimal (if necessary) to have the same length. 0.832 - 0.150 0.682 = the difference Subtract like subtracting whole numbers, then affix the decimal point in the difference.
9 CO_Q2_Math5_Module5 What’s More Activity 1: Directions: Add or subtract mentally. Number 1 is done for you. 1) 3.451 2) 87.464 3) 7.4350 − 2.320 + 11.325 − 2.4342 1.131 4) 7.346 5) 42.546 + 4.222 − 21.432 Activity 2: Directions: Write in column (vertical) form. Align the decimals, then perform the indicated operation. Write your answer inside the box. Number 1 is done for you. 1) 4.250 + 2.412 = 4.250 + 2.412 6.662 2) 7.132 – 4.150 = 3) 2.521 + 1.813 + 0.675 = 4) 9.724 – 5.512 = 5) 8.315 + 1.617 = 6.662
10 CO_Q2_Math5_Module5 What I Have Learned 1. To add decimals, write down the numbers, one under the other in a straight column or in vertical order with the decimal points lined up. 2. Add as in whole numbers. Align the decimal point in the sum with the decimal points in the addends. If the sum of the digits is 10 or more, regroup the decimal. 3. Use the decimal point to separate the whole number from the decimal number in the sum or difference. 4. To subtract decimals, align the decimal point, and subtract as in whole numbers. 5. Regroup the decimal if necessary.
11 CO_Q2_Math5_Module5 What I Can Do Directions: Read and do the indicated operation. Arrange the numbers in a column form inside the box together with your answer. Number 1 is done for you. 1. 64.3 + 56.326 ---- 2. 8.752 – 2.817 ---- 3. 40.300 – 21.289 ---- 4. 25.83 + 16.40 ---- 5. To prevent the spread of COVID 19, Jomar donated 8.95 liters of alcohol to Tacloban City Night High School. His best friend Eric also donated 12.47 liters. How many liters of alcohol did Jomar and Eric donate? 64.3 +56.326 120.626
12 CO_Q2_Math5_Module5 Assessment Directions: Choose the letter of the best answer. Write the chosen letter in a separate sheet of paper. 1) Add: 0.25 + 0.58 A. 0.713 B. 0.813 C. 0.83 D. 0.86 2) Subtract: 11.942 – 7.322 A. 0.46 B. 4.72 C. 19.264 D. 4.62 3) Find the result when 3.78 is subtracted from 8. 565. A. 4.215 B. 4.785 C. 12.345 D. 4.225 4) What is the sum of 52.763 and 48.92? A. 101.683 B. 101.863 C. 105.855 D. 105.955 5) What is the difference when 28.469 is decreased by 18.913? A. 9.444 B. 9.556 C. 10.556 D. 10.056 6) What is 7.82 increased by 15.193? A. 22.004 B. 22.914 C. 22.013 D. 23.013 7) What is 92.38 less 48.65? A. 44.33 B. 44.27 C. 43.73 D. 43.33 8) Jasmine weighs 52.40 kilograms while her brother Nathaniel weighs 47.86 kilograms. How many fewer kilograms does Nathaniel weigh? A. 4.54 B. 5.44 C. 5.54 D. 5.48 9) The labor cost of making a cake is P32.50. Flour costs P31.85. Other expenses add up to P92.10. How much money will you spend to make a cake? A. P155.145 B. P155.45 C. P156.45 D. P154.45 10) A farmer has a 0.85 hectare orchard. If 0.435 is planted with mangoes and the rest are oranges, how many hectares is allotted for planting oranges? A. 0.405 B. 0.415 C. 0.425 D. 0.025
13 CO_Q2_Math5_Module5 Additional Activities Direction: Write the correct answer on the blank. 1) Subtract 7.432 from 23.52 ___________________ 2) What is 6.436 plus 9.356? ___________________ 3) 75.474 + 0. 945 the sum is ___________________ 4) 54.6 – 23.546 the difference is ___________________ 5) Take away 74.76 from 245.4 ___________________
14 CO_Q2_Math5_Module5 Can Do What I 120.626 1. 5.935 2. 19.011 3. 42.23 4. 21.42 5. More ’s What Activity 1: 1.131 1. 98.789 2. 5.0008 3. 11.568 4. 21.114 5. Activity 2: 6.662 1. 2.982 2. 5.009 3. 4.212 4. 9.932 5. Additional Activities 16.088 1. 15.792 2. 76.419 3. 31.054 4. 170.64 5. Assessment C 1. D 2. B 3. A 4. B 5. D 6. C 7. A 8. C 9. B 10. What’s In 52.217 1. 2.37.536 2. 37.500 3. 18.206 4. 83.163 5. What’s Is It 1.1 1. 1.2 2. What I Know A 1. C 2. D 3. D 4. B 5. A 6. C 7. B 8. C 9. A 10. Answer Key
15 CO_Q2_Math5_Module5 References Bennagen, L. C. and Sibbaluca, L.M. Math World 5 Scott Foresman, Addition Wesley. Math 6 Shining through in Mathematics 5 Ursua, A. C. and Lumbre, A.P. (2016). 21st Century Mathletes Textbook. Quezon City: Vibal Group Inc.
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