a NTRODUCTION TO 5-DIGIT NUMBERS ee i Ten Thousand hat happens when we add | to the greatest 4-digit number, 9,999 Let us see WI 5 Adding 1 to the greatest 4-digit number gives 10,000. It is the smallest 5-digit number and is read as ten thousand.Place Value Pimper -digit 9,999 + 1 = 10,000 (ten thousand). It is 4 5-dig} fs usands’ ‘ten tho’ iy Now, the place value table has a new column, “te Ten Thousands | Thousand: Th \ Th 1 0 m if Hundreds H bo 10,001, 12,050, 56,734, and 99,999 are all 5-digit numbers. The value of each digit corresponds to its place. Peace eC uc For easy reading of numbers, the place value Pa We CR uu system is divided into groups, which are separated by commas, called periods.Tip to read a 5-digit number: ids period as Read the number formed by the digits under the Oe ce i many thousand. Then, read the number formed by the ones period.ror that, we first write 62,800 in the place value chart. Then, express the place value of each digit in the number as a sum. TTh Th In Py) © (582 lolfo Place value of 0 = 0 ones = 0 Place value of 0 = 0 tens = 0 Place value of 8 = 8 hundreds = 800 Place value of 2 = 2 thousands = 2,000 Place value of 6 = 6 ten thousands = 60,000 62,800 = 60,000 + 2,000 + 800+0+0Internati cean ational Place Value Sys' ning the international place value There is another place value system know! system. ! Let us compare the two place value systems. L TH TH H HTH 1TH TH H 4 On comparing the two systems, we observe the following. » In the Hindu-Arabic place value system, we have the lakhs place after the thousands place. It comes under the lakhs period. In the international place value system, we have the hundred thousands place after ten thousands. It comes under the thousands period. The Hindu-Arabie value system also known as Indian place = In the Indian place value system, the ones period has three places. In the international place value system, all periods have three places. = 100 thousands = 1 lakhCOMPARING NUMBERS We compare numbers to find out w less than the other number. ether one number is equal to, greater than, or With Different Number of Digits Anumber having more number of digits is greater thana number having lesser number of digits. Example Compare the numbers 62,800 and 3,08,252. “HRB SBHe8 6 2 8. 80) Go 3) 0 PCO ieee caa cu ah 8 2 Sua eles 5 digits 6 digits So, 62,800 < 3,08,252 With the Same Number of Digits When two numbers have the same number of digits, we first compare the digits at the greatest place. If the digits are the same, we compare the digits in the next place. This continues until we reach a place where both the numbers have different digits. The number with the greater digit at this place is the greater number.ORDERING NUMBERS The arrangement of numbers in increasing or decreasing order is called ordering of numbers. When numbers are arranged from the smallest to the greatest, it is called increasing order or ascending order. Example Arrange the following numbers in ascending order. 27,141 16,978 7,42,763 62,634 To arrange the numbers in ascending order, follow these steps: 1. Compare the first two numbers: 27,141 > 16,978 2. Compare the greater of the two numbers with the next number. Continue in thi: way till you are able to order all the numbers.27,141 < 7,42,763 and 7,42,763 > 62,634 Also, 27,141 < 62,634 3. Arrange the numbers from the smallest to the greatest, which gives the ascending order of the numbers. The ascending (increasing) order of the numbers is 16,978 < 27,141 < 62,634 < 7,42,763 When numbers are arranged from the greatest to the smallest, it is called decreasing order or descending order. The descending order of the numbers is 7,42,763 > 62,634 > 27,141 > 16,978SUCCESSOR AND PREDECESSOR The number that comes just after a given number is called its successor. We need to add 1 to a number to get its successor. The successor of 4,697 is 4,697 + 1 = 4,698. eel ; CN 4690 4,691 4,692 4,693 4,694 4,695 4.696 4,697 4,698 4,699 4,700 The number that comes just before a given number is called its predecessor. We need to subtract | from a number to get its predecessor. The predecessor of 4,697 is 4,697 - 1 = 4,696. * > 4.690 4,691 4,692 4,693 4,694 4,695 4,696 4,697 4,698 4,699 4,700ane DL) lebrated at af year is Ce In different cultures in India, the traditional poe this occasion. different times. There are many festivals to ma! ey mation. Conduct research and collect the following infor 5 in India 1. The names of any four New Year festivals in In [Harry] (Ney 2. The date on which each festival is celebrated Th I | i 3. The states where these festivals are celebrated ; ending order 4. The area of each state and arrange the areas in asc depicting any of th er depi' dl Discuss your findings in the class. Also, prepare 4 pest i 7 above festivals. ROUNDING OFF NUMBERS Sometimes, it is not necessary to give the complete or exact number. For example, the number of people who took part in a cycle rally might be 10,217. For most people who want to know about the number of participants, a rough answer of 10,000 or 10,200 is good enough. This is called rounding off. The rounded number is close enough to the exact number, and is much easier to remember and recall. Big numbers can be rounded off to the nearest thousand, nearest hundred, or to any specified place..iti erals. ; There are four basic rules for reading and writing Roman num : As 4. If a Roman numeral repeats itself, its value is added that many times. eal VW=+=2 W=1+1+1=3 X=10 XX=10+10=20 XXX = 10+ 10 +10 = 30 A letter can only be repeated for a maximum of three times. If a Roman numeral of lower value is placed after another Roman numeral of greater value, their values are added. Vi=5+1=6 Vil=S+141=7 Wil=5+14+1+4+1=3 Xl=104+1=11 XV=104+5=15 LX=50+10=60 . Ifa Roman numeral is placed before another Roman numeral of greater value, | gets subtracted from the bigger number. W=5-1=4 IX=10-1=9 XL=50-10=40 | can be subtracted from V and X only.bers pes , of greater num! Objective: To exhibit understanding dice, paper strips Number cards 1—9 oF 4 Materials require Steps: 1, Students are divided into groups of 4. 2. Each student rolls the dice once and notes down th en 3, Player 1 forms a 4-digit number using all the four diols» ies the number on strip of paper, folds it, and places it at the centre of the table. 4. Players 2, 3, and 4 also form numbers as above, write thelr numbers on strips paper, and place them at the centre of the table. ‘at one go, each of them takes a numbe e number. 5. The number strips are shuffled well and strip and answers the following questions. a. Write the expanded form. b. What is the predecessor? c. Write the number name. d. What will be the number name if all hundreds in it are removed or the hundreds place is 0? e. Starting from the number, write the next five numbers to form a number pattern of rule +5. f. Interchange digits in the ones and thousands place and now write the number name. g. Write the successor of the number formed above. hh. Round off the number to its nearest ten. 6. The student who has finished answering first with all the correct answers is the winner. Students exchange their strips with each other, discuss, and Note: It is recommended that students be given a photocopie questions, so that they are able to write the answers on the psfe about 8,333 sheets of paper out of one tree VK We can mal nat number would you get if you round it off to the following? What nun Why do you think we need to save paper? Discuss in class. Build a 6-digit number using the first 3-digits of your father’s mobile number a) and the last 3-digits of your mother’s mobile number. Give this number to your partner and ask him/her to round it off to the nearest 1000. Your number; Your partner's answer: C= Cx Cr eure) 4 - Py hives, 6-digit numbers. RE ut a ee seit) ORI UC ee aut) cm eur esas compare and order 5- and Gems Ce Rae ee SOMME UT LON PUTA cr@xx=s India is a true example of Unity in Diversity. Make a group of four with your classmates. Find out from your classmates the names of their hometowns and fill in the table. Postal Index Rca ann fruit Peau ae Which digit of the postal index number changes with different cities? Why do w need different postal codes for different cities? Find out which of the numbers given below goes in each block of the puzzle, Two numbers have been placed for you. eDpeDpem I 132) (2146) (40526) &: } Le 195 © 2951 © 88927 245183 624 5074 57809137539 — 457 5673 59248 471 621959423 - 551 | 6874 74341 409 © 3011 64325 = "7 834 © 248671485 irate 7729 5281 9168 F 9628 ws