5 Mathematics Quarter 2 – Module 1: Giving the Place Value and the Value of a Digit CO_Q2_Math5_Module1 Mathematics – Grade 5 Alternative Delivery Mode Quarter 2 – Module 1: Giving the Place Value and the Value of a Digit 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 Development Team of the Module Writer: Mary Meldred S. Normor Editors: Maria Niann L. Atis, Jessica Macaranan Reviewers: Renato S. Cagomoc, Rolando Lacbo, Joshua Sherwin T. Lim Illustrator: Jaime E. Sagayap 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 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: region8@deped.gov.ph 5 Mathematics Quarter 2 – Module 1: Giving the Place Value and the Value of a Digit 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! ii CO_Q2_Math5_Module1 What I Need to Know Good day, mathletes! This module was designed to help you gain an understanding on giving the place value and value of a digit of a given decimal number through ten thousandths. Remember that the place value is the position of the digit in a number. It determines the value that the number holds. While the value of a digit in a given decimal is the product of that digit holding the decimal place and the value of that position. After going through this module, you are expected to: 1. give the place value and the value of a digit of a given decimal number through ten thousandths; and 2. apply the place value and the value of a digit of a given decimal number through ten thousandths. (M5NS-IIa-101.2) What I Know Directions: Choose the letter of the best answer. Write the chosen letter on a separate sheet of paper. 1. What is the place value of 9 in 13.0694? A. tenths B. hundredths C. thousandths D. ten thousandths 2. In 0. 0168, what is the place value of 8? A. tenths B. hundredths C. thousandths D. ten thousandths 1 CO_Q2_Math5_Module1 3. Give the place value of the underlined digit in 20.4901. A. ones B. tenths C. hundredths D. thousandths 4. Which one below is equivalent to the value of 1 in 0.9182? A. 0.01 B. 0.91 C. 0.018 D. 0.918 5. Give the value of 3 in 560.3874. A. 0.3 B. 0.38 C. 560.3 D. 560.38 6. What is the place value of 9 in 890.435? A. tens B. hundreds C. thousands D. ten thousands 7. Give the place value of the underlined digit in 2 743.901. A. hundreds B. thousands C. ten thousands D. millions 8. What is the place value of 4 in 20.594? A. tenths B. hundredths C. thousandths D. ten thousandths 9. In 301.658, what is the value of the underlined digit? A. 300 B. 300.6 C. 301.6 D. 301.65 10. Give the value of 5 in 10.3590. A. 0.05 B. 0.35 C. 10.05 D. 10.35 3 CO_Q2_Math5_Module1 Lesson Giving the Place Value and the Value of a Digit of a Given Decimal Number through Ten Thousandths 1 Place value is a system in which the position a digit holds in a number determines its value. If you know the place values of digits in a given number or decimal, then definitely you can give the value of that certain digit. What’s In Here is a place value chart. All you have to do is to plot the numbers exactly. Ten Thousandths 0.0001 Decimal Point 8 Thousandths 0.001 Ones 3 Hundredths 0.01 Tens 1 Tenths 0.1 Hundreds Thousands Directions: Plot each digit in the place value chart. The other one is already done for you to serve as your guide. 4 6 2 5 Example: 138.4625 1) 0.694 2) 81.7302 3) 0.5034 4) 9.720 5) 3.004 4 CO_Q2_Math5_Module1 What’s New Consider studying this example. The decimal 123.4567 is plotted correctly in place .0007 2 3 4 Value 100 20 3 .4 .05 Point 1 Thousandths Thousandths .006 Digits Ten Hundredths 7 Tenths Decimal 6 Ones 5 Tens Hundreds Place Value value chart and the value of each digit is also given correctly. Directions: In column A, give the Place Value of the underlined digit. In column B, give the value of the same underlined digit. Number Column A PLACE VALUE Column B VALUE 0.0734 thousandths 0.003 Ex. 1) 2.657 2) 0.9120 3) 12.35 4) 8.6371 5) 0.436 5 CO_Q2_Math5_Module1 What Is It One thing you need first to learn about decimals numbers is the place value. The place value is the position of the digit in a number. It determines the value that the number holds. The value of a digit in a given decimal is the product of that digit holding the decimal place and the value of that position. Tenths Hundredths Thousandths 0 4 8 7 Value 10 0 .4 .08 .007 Thousandths Decimal Point 1 Ten Ones Digits Place Value Tens Study the table below. 6 .0006 In 10.4876 the digit 0 is a place holder of ones place. Its value is 0. Digit 1 is in the tens place. Its value is 10. Digit 4 is in the tenths place. Its value is 0.4. The digit 8 is in the hundredths place. Its value is 0.08. The digit 7 is in the thousandths place. Its value is 0.007. And digit 6 is in the ten-thousandths place. Its value is 0.0006. Hence, 10.4876 means ten and four thousand eight hundred seventy-six ten thousandths. Here is other example: Digit In 2.4895, Place Value Value 2 Ones 2 4 Tenths 0.4 8 Hundredths 0.08 9 Thousandths 0.009 5 Ten thousandths 0.0005 6 CO_Q2_Math5_Module1 What’s More Directions: Complete the data in the table below using the given decimal number. In 5.6479 Digit 1) 4 2) 9 3) 5 4) 7 5) 6 Place Value Value What I Have Learned Using what you have learned, answer the following questions: 1. What is place value? ________________________________________________________________________ ________________________________________________________________________ 2. What is value of a digit? 3. Guess who and where I am: I am 178.3561. a. I am the number 4th place from the left or 4th number from the right. Who and where am I? __________________ _____________________ b. I am located at the very end. Who and where am I? ___________________ _____________________ c. I am the 3rd number or the number before the “and” in decimal form. Who and where am I? __________________ _____________________ 7 CO_Q2_Math5_Module1 What I Can Do Directions: Identify the digit being asked and give its value. 35 148.7286 a. Hundreds place = _________ = _________ b. Thousandths place = _________ = _________ c. Tenths place = _________ = _________ d. Ten thousands place = _________ = _________ e. Hundredths place = _________ = _________ 8 CO_Q2_Math5_Module1 Assessment Multiple Choice. Write the letter of the correct answer on a separate sheet of paper. 1. What is the place value of 7 in 43.0671? A. tenths C. thousandths B. hundredths D. ten thousandths 2. In 5. 7149, what is the place value of 9? A. tenths C. thousandths B. hundredths D. ten thousandths 3. Give the place value of the underlined digit in 293.6405. A. ones C. hundredths B. tenths D. thousandths 4. What is the value of 3 in 0.7395? A. 0.03 B. 0.73 C. 0.739 D. 0.0395 5. In 462.1578, give the value of 8. A. 0.008 B. 0.0008 C. 462.008 D. 462.0008 6. What is the place value of 5 in 2.7501? A. tenths C. thousandths B. hundredths D. ten thousandths 7. Give the place value of the underlined digit in 340.932. A. tenths C. tens B. hundredths D. hundreds 8. In 187.004, what is the value of 8? A. 80 B. 180 C. 80.004 D. 180.004 9. What is the value of 4 in 0.0048? A. 0.4 B. 0.004 C.0.0004 D. 0.0048 10. Give the value of the underlined digit in 1.0532. A. 0.053 C. 0.003 B. 1.053 D. 0.002 9 CO_Q2_Math5_Module1 Additional Activities Directions: Supply what is being asked. A. In 0.5460, 1. What digit is in the hundredths place? _______ 2. What digit is in the thousandths place? _______ 3. What digit is in ten the thousandths place? _______ B. In 0.1364, 4. What is the value of 1? _______ 5. What is the value of 4? _______ 10 CO_Q2_Math5_Module1 What's More Digit Place Value tenths 5) 6 thousandths 4) 7 ones 3) 5 ten thousandths 2) 9 hundredths 1) 4 Additional Activities 6. 7. 8. 9. 10. A B C A A Value 0.04 0.0009 What I Can Do a. Hundreds place = b. Thousandths place = c. Tenths place = d. Ten thousands place= e. Hundredths place = 1 = 100 8 = 0.008 7 = 0.7 3 = 30 000 2 = 0.02 5 0.007 0.6 Assessment 1. C 2. D 3. B 4. A 5. B 6. B 7. C 8. A 9. B 10. C What's In 1. 0.694 2. 81.7302 8 4 9 6 . 0 Ones 4 6 0 0.1 0.0004 3. 0.5034 1 . 0 4. 9.720 . 9 5. 3.004 What I Know 1. C 2. D 3. B 4. A 5. A Decimal Point Thousands Tenths Hundreds Hundredths Tens Thousandths . 3 . 7 5 7 0 3 0 2 0 2 0 Ten Thousandths CO_Q2_Math5_Module1 1. 2. 3. 4. 5. 11 3 4 0 4 What's New Column A PLACE VALUE Number 1. 2. 3. 4. 5. Column B VALUE hundredths thousandths tenths ten thousandths thousandths 2.657 0.9120 12.35 8.6371 0.436 0.05 0.002 0.3 0.0001 0.006 Answer Key Reference Lumbre, A. P. and Ursua, A.C. (2016). 21st Century Mathletes 5 Textbook. Quezon City: Vibal Group, Inc. 12 CO_Q2_Math5_Module1 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