ME Math 5 Q1 0101 SG.pdf

Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers LESSON 1.1 Reading and Writing Numbers up to 10 000 000 in Symbols and in Words Table of Contents Introduction...

Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers LESSON 1.1 Reading and Writing Numbers up to 10 000 000 in Symbols and in Words Table of Contents Introduction 1 Test Your Prerequisite Skills 2 DepEd Competencies 2 Objectives 3 Warm-Up! 3 Learn about It! 4 Let’s Practice 8 Check Your Understanding 17 Key Points 17 Photo Credits 18 Bibliography 18  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Lesson 1.1 Reading and Writing Numbers up to 10 000 000 in Symbols and in Words Fig. 1. Sample Check Introduction Numbers are not only presented as numerals or digits; they can also be expressed in words and may even be expanded. We commonly see this in a check. A check is a document that directs a bank to pay a specific amount to the person the check has been issued. The monetary amount written in a check is not only expressed in numbers but also in words. This is to prevent tampering of the document as numerals alone can easily be tampered. In this lesson, we will learn how to read and write numbers up to 10 000 000 in symbols and words. 1  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Test Your Prerequisite Skills Before you get started, answer the following items on a separate sheet of paper. This will help you assess your prior knowledge and practice some skills that you will need in studying this lesson. Show your complete solution. 1. Give the place value of the underlined digit of the following numbers: a. 78 291 b. 87 118 c. 65 098 d. 239 172 2. Give the value of the underlined digit of the following numbers: a. 21 910 b. 72 391 c. 16 082 d. 611 290 DepEd Competencies At the end of the lesson, you should be able to do the following: Visualize numbers up to 10 000 000 with emphasis on numbers 100 001– 10 000 000 (M5NS-Ia-1.5). Read and write numbers up to 10 000 000 in symbols and in words (M5NS-Ia-9.5). 2  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Objectives At the end of this lesson, you should be able to do the following: Correctly read numbers up to 10 000 000 with emphasis on numbers 100 001 – 10 000 000. Accurately write numbers up to 10 000 000 in standard form and in words. Warm-Up! Look, Read, and Write Materials paper pen strips of paper board chalk or marker jar or box Instructions 1. Form groups of five members each. 2. Place the jar (or box) on the teacher’s table. 3. Each group will write five numbers (between 10 000 and 1 000 000) on strips of paper. 4. Roll the strips of paper and collect them all in the jar. 3  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers 5. The members of each group will take turns in picking a strip of paper from the jar. Then, one member will read the chosen number and write it in words on the board. 6. Every group that correctly reads and writes all numbers given to them shall receive a reward. Learn about It! The place value of a number tells the position of each digit. The value of a digit in a given number is the product of the digit and its place value. Shown below are the place values of the digits in 14 414 774. Ten Hundred Ten Millions Thousands Hundreds Tens Ones Millions Thousands Thousands 1 4 4 1 4 7 7 4 The digit 4 can be found in the millions place, the hundred thousands place, thousands place, and the ones place. A number can be written in three ways: standard form, word form, and expanded form. The number 14 414 774 is written in standard form. Essential Question How will you read numbers up to 10 000 000? 4  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Reading and Writing Numbers in Words Step 1: Group the number into three digits starting from the right and put a space in between. This is to separate the numbers by class or period. Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 1 4 4 1 4 7 7 4 Step 2: From the left, read the number per group, just like reading a two-digit or three- digit number, and then include the class name. First group: fourteen million Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 𝟏 𝟒 4 1 4 7 7 4 Second group: four hundred fourteen thousand Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 1 4 𝟒 𝟏 𝟒 7 7 4 5  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Third group: seven hundred seventy-four Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 1 4 4 1 4 𝟕 𝟕 𝟒 Take note that in the last group, we do not include the class name ones. Therefore, 14 414 774 is written in words as fourteen million four hundred fourteen thousand seven hundred seventy-four. Essential Question How will you write numbers up to 10 000 000 in symbol and in words? Writing Numbers in Expanded Form Recall that value is the product of the digit and its place value. Ten Hundred Ten Millions Thousands Hundreds Tens Ones Millions Thousands Thousands 1 4 4 1 4 7 7 4 10 000 000 1 000 000 100 000 10 000 1 000 100 10 1 Value 𝟏𝟎 𝟎𝟎𝟎 𝟎𝟎𝟎 𝟒 𝟎𝟎𝟎 𝟎𝟎𝟎 𝟒𝟎𝟎 𝟎𝟎𝟎 𝟏𝟎 𝟎𝟎𝟎 𝟒 𝟎𝟎𝟎 𝟕𝟎𝟎 𝟕𝟎 𝟒 6  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers In 14 414 774, the values of the digit 4 are: 4 × 1 000 000 = 4 000 000 4 × 100 000 = 400 000 4 × 1 000 = 4 000 4 × 1 = 4. The values were taken by multiplying 4 by its corresponding place value. To write a number in expanded form, express the number as the sum of the values of the digits of the number. Ten Hundred Ten Millions Thousands Hundreds Tens Ones Millions Thousands Thousands 1 4 4 1 4 7 7 4 10 000 000 1 000 000 100 000 10 000 1 000 100 10 1 10 000 000 + 4 000 000 + 400 000 + 10 000 + 4 000 + 700 + 70 + 4 Therefore, the expanded form of 14 414 774 is 𝟏𝟎 𝟎𝟎𝟎 𝟎𝟎𝟎 + 𝟒 𝟎𝟎𝟎 𝟎𝟎𝟎 + 𝟒𝟎𝟎 𝟎𝟎𝟎 + 𝟏𝟎 𝟎𝟎𝟎 + 𝟒 𝟎𝟎𝟎 + 𝟕𝟎𝟎 + 𝟕𝟎 + 𝟒 7  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Let’s Practice Example 1 What is the place value and value of the digit 5 in 45 294 739? Solution Ten Hundred Ten Millions Thousands Hundreds Tens Ones Millions Thousands Thousands 4 𝟓 2 9 4 7 3 9 The digit 5 is in the millions place. Ten Hundred Ten Millions Thousands Hundreds Tens Ones Millions Thousands Thousands 4 𝟓 2 9 4 7 3 9 10 000 000 𝟏 𝟎𝟎𝟎 𝟎𝟎𝟎 100 000 10 000 1 000 100 10 1 The value of 5 is 5 × 1 000 000 = 𝟓 𝟎𝟎𝟎 𝟎𝟎𝟎. Try It Yourself! Determine the place value and value of the digit 7 in 26 719 056. 8  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Example 2 Write 45 294 739 in words. Solution Step 1: Group the number into three digits starting from the right and put a space in between. This is to separate the numbers by class or period. Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 4 5 2 9 4 7 3 9 Step 2: From the left, read the number per group just like reading a two-digit or three-digit number, and then include the class name. First group: forty-five million Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 𝟒 𝟓 2 9 4 7 3 9 Second group: two hundred ninety-four thousand Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 4 5 𝟐 𝟗 𝟒 7 3 9 9  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Third group: seven hundred thirty-nine Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 4 5 2 9 4 𝟕 𝟑 𝟗 Take note that in the last group, we do not include the class name ones. Therefore, 45 294 739 is read as forty-five million two hundred ninety-four thousand seven hundred thirty-nine. Try It Yourself! Write 56 728 920 in words. Example 3 Write 27 163 483 in words and in expanded form. Solution Step 1: Group the number into three digits starting from the right and put a space in between. This is to separate the numbers by class or period. Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 2 7 1 6 3 4 8 3 10  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Step 2a: From the left, read the number per group just like reading a two-digit or three-digit number, and then include the class name. First group: twenty-seven million Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 𝟐 𝟕 1 6 3 4 8 3 Second group: one hundred sixty-three thousand Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 2 7 𝟏 𝟔 𝟑 4 8 3 Third group: four hundred eighty-three Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 2 7 1 6 3 𝟒 𝟖 𝟑 Take note that in the last group, we do not include the class name ones. Therefore, 27 163 483 is written in words as twenty-seven million one hundred sixty- three thousand four hundred eighty-three. 11  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Step 2b: Write 27 163 483 in expanded form. To do this, express the number as the sum of the values of its digits. Ten Hundred Ten Millions Thousands Hundreds Tens Ones Millions Thousands Thousands 2 7 1 6 3 4 8 3 10 000 000 1 000 000 100 000 10 000 1 000 100 10 1 20 000 000 + 7 000 000 + 100 000 + 60 000 + 3 000 + 400 + 80 + 3 The number 27 163 483 in expanded form is 20 000 000 + 7 000 000 + 100 000 + 60 000 + 3 000 + 400 + 80 + 3. Try It Yourself! Write 37 182 056 in words and in expanded form. Real-World Problems Example 4 A sales manager was reading a sales report for the month. He saw the amount ₱16 273 809 as the sales total. How do you write 16 273 809 in words and in expanded form? 12  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Solution Step 1: Group the number into three digits starting from the right and put a space in between. This is to separate the numbers by class or period. Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 1 6 2 7 3 8 0 9 Step 2: From the left, read the number per group just like reading a two-digit or three-digit number, and then include the class name. First group: sixteen million Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 𝟏 𝟔 2 7 3 8 0 9 Second group: two hundred seventy-three thousand Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 1 6 𝟐 𝟕 𝟑 8 0 9 13  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Third group: eight hundred nine Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 1 6 2 7 3 𝟖 𝟎 𝟗 Therefore, 16 273 809 is written in words as sixteen million two hundred seventy-three thousand eight hundred nine. Step 3: To write 16 273 809 in expanded form, just write it as the sum of the values of its digits. Ten Hundred Ten Millions Thousands Hundreds Tens Ones Millions Thousands Thousands 1 6 2 7 3 8 0 9 10 000 000 1 000 000 100 000 10 000 1 000 100 10 1 10 000 000 + 6 000 000 + 200 000 + 70 000 + 3 000 + 800 + 0 + 9 Therefore, 16 273 809 written in expanded form is 𝟏𝟎 𝟎𝟎𝟎 𝟎𝟎𝟎 + 𝟔 𝟎𝟎𝟎 𝟎𝟎𝟎 + 𝟐𝟎𝟎 𝟎𝟎𝟎 + 𝟕𝟎 𝟎𝟎𝟎 + 𝟑 𝟎𝟎𝟎 + 𝟖𝟎𝟎 + 𝟎 + 𝟗. 14  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Example 5 ABC Holdings is buying a property worth ₱56 379 214. This amount needs to be written on a check. How do you write 56 379 214 in words? Solution Step 1: Group the number into three digits starting from the right and put a space in between. This is to separate the numbers by class or period. Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 5 6 3 7 9 2 1 4 Step 2: From the left, read the number per group just like reading a two-digit or three-digit number, and then include the class name. First group: fifty-six million Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 𝟓 𝟔 3 7 9 2 1 4 15  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Second group: three hundred seventy-nine thousand Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 5 6 𝟑 𝟕 𝟗 2 1 4 Third group: two hundred fourteen Millions Thousands Ones Tens Ones Hundreds Tens Ones Hundreds Tens Ones 5 6 3 7 9 𝟐 𝟏 𝟒 Therefore, 56 379 214 in words, is fifty-six million three hundred seventy-nine thousand two hundred fourteen. Try It Yourself! The population of a certain country has reached 68 271 382. Chesca, who is an editorial writer, wants to write an article on the fast-growing population of their country. She wants to write the number in words. How should Chesca write 68 271 382 in words? 16  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Check Your Understanding 1. Determine the place value and value of the underlined digit of the numbers below. a. 3 190 527 b. 26 361 019 c. 19 212 178 2. Write the following numbers in words and in expanded form. a. 1 279 192 b. 5 679 102 c. 67 830 142 3. Jordan was assigned to get the statistical data of households having internet connection in their community. He noticed that approximately 1 000 271 households are using internet connection. To help him present the data better to his manager, write the statistical data in words and in expanded form. Key Points The place value refers to the position of a digit in a number. Value is the product of the digit in a number and its place value. Periods are the sets of three digits into which numerals are grouped. 17  Mathematics Grade 5 Unit 1: Building Number Sense: Whole Numbers Photo Credits Fig. 1. Sample cheque.jpeg by Tshrinivasan is licensed under CC BY-SA 3.0 via Wikimedia Commons. Bibliography HG Walker. “How to Read and Write Numbers to Ten Million – Abstract.” September 5, 2017. YouTube video, 2:56. https://www.youtube.com/watch?v=FNrklOADJw8. 18