Place Value SE SS Some of the planets in our solar system are much bigger ~ than Earth while others are smaller. Mercury is the smallest planet with a diameter of about 4,879 km. What is its approximate radius? Jupiter is the biggest planet with a radius of about 71,492 km. What is its approximate. diameter? A person whose weight is 42 kg ‘on Earth will weigh 1/6* of that on the Moon. What is his weight on the moon? y LOOKING BACK [FJ The farther a planet is from the Sun the slower is its speed around it. Mercury is the closest planet to the Sun and moves at a speed of about 1,72,404 km per hour. Neptune is much farther and moves at a speed of about 19,458 km per hour. a 19,458 in words: Nineteen thousand, four hundred fifty-eight Expanded Notation: 10,000 + 9,000 + 400 + 50+8 b 1,72,404 in words: One lakh, seventy-two thousand, four hundred four Lakhs Thousands Ones < Period Lakhs Ten Thousands Thousands = Hundreds Tens = Ones en 1 7 2 4 0 4 1lakh =. 7tenthousands | 2thousands 4hundreds © Otens 4 ones if 1x1,00,000 7x 10,000 2x1,000 4x100 «0x10 4x1 \) Expanded notation: 1,00,000 + 70,000 + 2,000 + 400 +0 +4 How is each column. in the place value chart related to the column to the left of it? Solve: 1. Give the place value of the coloured digit. a 34,987 b 63,653 ¢ 4,10,987 — d_3,09,764 2 Use the digits 5, 6, 3, 8, 9, 1 to: a build the greatest number possible. b build the smallest number possible. © give the expanded notation and number name for both. New Enjoying Mathematics = EEE, ANIVA 32V1ddy LAKHS AND CRORES Oo 7-Digit Numbers . . bs ‘The diameter of the Sun is approximately 13,92,684 kn fie is a 7-digitFimber Before you read a 7-digit number you have to understafid it.» k Do you remember the largest 6-digit number? Ifyou add 1 to it you get the smallest 7-digit number. 10,00,000 is ten lakh. L____—> These digits tell you how many lakhs | Lakhs i Thousands oe | Ten Lakhs Lakhs Ten Thousands = Thousands Hundreds es or) oO (7h) 2 (i) ee) m Gh 1 4 9 2 6 8 1 | | jtenlakhs 3lakhs | Qtenthousands 2 thousands 6 hundreds 8 tens 4ones | 1x 10,00,000 3 7,00,000 9x 10,000 2x1,000 6x100 = 8x10 4xq Expanded notation: 10,00,000 + 3,00,000 + 90,000 + 2,000 + 600 + 80+4 Read the number with the help of commas. These digit tll you how many thousands. 3,93,684 Onn These digits tell you how many lakhs. A7-digit number begins at the ten lakhs place. PLACE VALUE8-Digit Numbers The Mangalyaan was sent by the Indian Space Research Organisation from Earth to Mars. The distance between Earth and Mars keeps changing but at its closest it is about 5,46,00,000 km. How would you read that number? Let us now understand 8-digit numbers. The largest 7-digit number is 99,99,999 Ifyou add 1 to it, +1 igit number begins it becomes one hundred lakh 100, with the one crore (C) place. 1 crore has 7 zer © 10 ten lakhs (100 lakhs) : One hundred lakh is also called one crore. 1,00,00,000 is one crore. ans digit tells you how many crores. e puta comma ot | space to separate the crores period from the Take the 8-digit number 3,67,53,239. Gawapees ‘Crores: Lakhs Thousands. ‘Ones: : ens ‘Ten Lakhs Lakhs Ten Thousands ‘Thousands, Hundreds ‘Tens Ones (2) (my () (Th) (Th) (4) a (©) 3 6 7 a 7 2 3 9 3 crores 6tenlakhs 7 lakhs Stenthousands: 3thousands 2 hundreds 3 tens 9 ones 3x 6x 7* 5x 3x ae 3x 9x 1,00,00,000 : 10,00,000 ; 1,00,000 10,000 1,000 100 10 1 3,00,00,000 < 60,00,000 7,00,000 50,000 3,000 200 30 9 3,00,00,000 67,00,000 53,000 239 3crores , 67 lakhs , 53 thousands Ff 239 ones Expanded notation: 3,00,00,000 + 60,00,000 + 7,00,000 + 50,000 + 3,000 + 200 +30+9 9,67,53,239 7, digits tell you how many thousands. These digits tell you how many lakhs. This digit tellsyou how many crores. Itis easy to read a number with three commas. The first comma says crore, the second lakh, the third thousand, In words: Three crore, sixty-seven lakh, fifty-three thousand, two hundred thirty-nine So,5,46,00,000 is read as five crore, forty-six lakh. ANIVA 39V1d New Enjoying MathematPLACE VALUE Exercise TO elo meee te UOC cae as we the place value of the coloured digit. aa Gi ¢ 87,93,389 d_2,67,23,592 e 7,08,19,99, a 89,00,345 b 30,34,112 2) Give the word form and the expanded notation for these numbers. 2 67,09,654 b 9,83,10,809 ¢ 2,10,23,008 d 45,00,091 > Give the standard numeral for: a 4,00,00,000 + 60,00,000 + 5,00,000 + 40,000 + 200 b 90,00,000 + 60,000 + 3,000 +6 ¢ 6,00,00,000 + 5,00,000 + 20 d 30,00,000 + 9,00,000 + 7,000 + 80 fy UNDERSTANDING NUMBERS BETTER Example 1: We read the number 1,500 as one thousand, five hundred. That means there are 1,500 ones in the number. How do we find out how many tens or hundreds are there in the number? fit uh FE 1,500 can be represented like this using place ERB value blocks. (1 thousand) (S hundreds) But we know that 1 thousand has 10 hundreds, so we can also show 1,500 using only hundreds like this: So there are 15 hundreds in 1500. We know that 1 hundred has 10 tens. So -| 15 hundreds will have 15 x 10 = 150 tens |, There are 150 tens in 1500. 1500 ones = 150 tens = 15 hundreds. Putting it in the place value chart: Do you see the pattern? = 1500 = 1500 = 1500 5 S hundreds New Eriovina MathematicesLet us try this with a bigger number. Take the number 3,00,000. There are 3,00,000 ones in the number 3,00,000. 3 0 0 0 0 =3,00,000 —> There are 30,000 tens in tens the number 3,00,000. 3 0 0 0 = 3,00,000 —> There are 3,000 hundreds hundreds in the number 3,00,000. 3 0 0 = 3,00,000 —> There are 300 thousands thousands in the number 3,00,000. 3 Oten | = 3,00,000 —> There are 30 ten thousands thousands | in the number 3,00,000. 3 lakhs} = 3,00,000 — There are 3 lakhs in the number 3,00,000. Example 2: Write the number four crore, fifty-three thousand, one. Write the place value chart and fill in the Then fill in all the vacant places numbers according to the periods and places. with zeros. Gwe: uhiu=- f= yao 4 Sine 1 Answer: 4,00,53,001 Example 3: Find the number before and after a large number. ‘You can also call the number after ‘successor’ and the number before ‘predecessor’. The number after 56,79,999 is 56,80,000. The number before 6,78,800 is 6,78,799. Example 4: Compare numbers: The number with more digits is the a Different number of digits b Same number of digits 5,67,890 < 11,98,087 Wevenndmben 7687858 7689663 Different Same 7000 < 9000 In example 4b, both numbers have the same number of digits. Start from the left and compare the digits until you find two digits that are different. Answer: 76,87,858 < 76,89,663 2 RY > a m < 5 = & m New Enjoying Mathematics 5PLACE VALUE What comes next? fi Example 5: a 23,45,678, 23,46,678, 23,47,678, » b 40,46,300, 41,46,300, 42,46,300, > Answer: a 23,48,678 43,46,300 Example 6: Make the smallest and greatest possible 7-digit numbers using 7, 6, 2, 80 by repeating the digits. ‘Answer: Smallest 2,00,678; Greatest 8,87,620 Example 7: How many numbers have 4 digits? Let us start by finding out how many numbers have 1, 2 and 3 digits. We may find a pattern! Put back the extra number that was taken away. a The smallest one-digit number is 1. The greatest one-digit number is 9. 9-1-8 8+1-9 There are 9 one-digit numbers. b Smallest 2-digit number is 10. ¢ Smallest 3-digit number is 100. Greatest 2-digit number is 99. Greatest 3-digit number is 999. 99-10 = 89 999 - 100 = 899 89+1=90 899 +1=900 There are 90 two-digit numbers. There are 900 three-digit numbers. Answer: The pattern shows us that there are 9,000 four-digit numbers. We use numbers to count (there are 28 people in the room), to identify (my house number is 738), or to tell the order of things (Sabina picked the 9° book on the shelf). Find two more examples of each of the different ways we use numbers, You may keep a seperate notebook as your maths journal. You can use it to express thoughts, ideas and experiences about the different things you have h In what other ways can numbers be used? learnt in the maths class. New Enjoying Mathematics 5Exercise 1B 1 How many ones, tens, hundreds, thousands, ten thousands, and lakhs are there in the number 8,00,000? 2 Write in figures (with commas). a Eight lakh thirty-nine thousand twenty-three b Twenty lakh nine hundred five © Thirty-five thousand eight hundred fifty-seven d Four crore thirty-seven lakh nineteen thousand 3 Compare using <, >, or =. a 5,87,90,456| _ |5,78,23,567 b 90,40,908| _ |9,04,908 c 8,20,48,899| }8,20,54,899 d 1,40,10,178(__ |1,40,10,720 Make the smallest and greatest 7-digit numbers. a 5,8,2,9,1,1,8 b 4,7,1,9,0,6,7 (5) Make the smallest and the greatest possible 8-digit numbers by repeating the digits. a 3,6,1,7,8,9,2 b 4,7,1,0,3,5 Give the number before: a 45,69,500 b 87,16,000 ¢ 5,10,000 d 20,00,000 Give the number after: a 9,29,499 b 79,98,999 —< 99,99,999 d_1,98,97,950 @ (B) IFyou are 10 years old, you would have lived 52,56,000 minutes. Compare the numbers given below and match the age to the minutes lived. Do not calculate. Match by putting the numbers in ascending order. One has been done for you. 68,32,800 73,58,400 57,81,600 AaNIVA 33V1d 63,07,200 78,84,000 New Enjoying Mathematics 5(9) Cross-number puzzle. Clues across Clues down 7 The value ofa digit is divided by this number 1. Give the difference between the face value and the place value of the digit 2 in the as it moves to the right in the place value number 5,27,87,890. chart. 6 What is 10, 000 more re than 23, 38; 901? = 2. What is 1,00,000 less than 64,45,121? A The largest ewo-digit number. 3. Give the next number in the pattern. 38,33,659 38,43,659 38,53,659 7. Rearrange the digits 3, 7, 5, 2, 5,9, 0,0,6t0 | 4, How many six digit numbers are there in all? form the biggest number possible, “8, Give the next number in the pattern. 5, Give the standard form of ninety-one lakh 80,11,497 81,11,497 82,11,497 twenty thousand four hundred twelve. Make a “FACT BOOK”. Research facts in encyclopedias or on the internet to fit in these groups of your FACT BOOK. Use at least one page per group. Find as many interesting facts as you can. One example is shown as follows. You can also illustrate the facts if you wish to. 1-99 100-999 1000-9999 10000-99999 100000-999999 1000000-999999 10000000-99999999 —» Mercury is about, 5,79,37,000 km away from the sun. More than-99999999 PLACE VALUE New joying Mathematics| fy INTERNATIONAL SYSTEM Saturn is the most distant planet that we can see without the help of a telescope. It is the sixth planet from the Sun and best known for the rings around it. If you were to measure the size of Saturn around its equator it would measure about 3,65,882 km. In India we would read that figure as three lakh, sixty-five thousand, eight hundred eighty-two km. Using the international system we would write it as 365,882 and read it as ‘three hundred sixty-five thousand, eight hundred eighty-two’ km. 5-digit numbers are read the same way in both the Indian and international systems. 365882 is a 6-digit number. 6-digit and greater numbers are read differently in the Indian and international systems. Indian F International 10,000 10,000 Ten thousand Ten thousand 1,00,000 eee 6 digits----- > 100,000 One lakh 100060 One hundred thousand 10,00,000 ----4 7 digits----~ > 1,000,000 Ten lakh 1000000 i One million International System Thousands =< Period e |e 3:3 4 2/Be: si: 1 8 8 |/58i shi §|] Bi 2: 8 2 /PB8 e8: $ ve & § ~Place 3 /39:"s a] § te. @ e|2 The international system has 3 places in each period. The periods are separated by commas. The commas help us read the number. <— One hundred thousand (100,000) zu BS S a m < S = c m <= One million (1,000,000) New Enoying Mathematics 5PLACE VALUE 7 5 Comparing the Indian and International System: Indian System (10 akhy TL. (19h) a a Gal ce : i . vusand) HTh TT International System | (1 million) M (100 couse Different F jl nd Indian systems. Let us read the number §237819 in both international al International System™ uth Th Th 2/53/17 3 9 Smilin 237 thousand 81 i ineteen Five million, two hundred thirty-seven thousand, eight hundred nine! Indian System x ————— $2 lakh 37 thousand 819 remember thats million has 6 zr with the help of this grid. Fifty-two lakh, thirty-seven thousand, eight hundred nineteen Read these figures in the international system. a 439,168—Four hundred thirty-nine thousand, one hundred sixty-eight b 705,001—Seven hundred five thousand, one ¢ 1,201,590—One million, two hundred one thousand, five hundred ninety d_5,500,109—Five million, five hundred thousand, one hundred nine Me ALTE) New Enjoying Mathematics 5Exercise 1C 1) Rewrite using figures. a Ten people have about one million hairs in all b The Moon is about three hundred fifty-six thousand, four hundred kilometres from the Earth. ¢ There are about one million, thirteen thousand, nine hundred thirteen words in the English language. Insert commas and rewrite in words according to the international system. a 712801 = 712,801 _ b 602590 = © 1016800 d 5397284 = (3) Give the value of the coloured digit using the international system. a 234198 b 6042381 © 191291 d 7184089 (4) Write the following numbers in the Indian and international systems, using both figures and words. a 850009 b 1670112 4290281 — d-530563 fy ROUNDING [J The International Space Station is permanently posted in outer space. It flies at a height of about 400 km and goes around the earth at a speed of about 28,000 km an hour. The figures 400 km and 28,000 km an hour are not exact figures but they are close to the exact figures. They give an idea of about how high the space station is and about how fast it is travelling. They are rounded figures. Anumber at the midway point is always rounded to the next highest multiple. Rules of Rounding Revise the rules of rounding given as follows: * When we round a number to the nearest 10, we use the nearest multiple of 10. * y z > a a S = = m * When we round a number to the nearest 100, we use the nearest multiple of 100. * When we round a number to the nearest 1,000, we use the nearest multiple of 1,000. New Enjoying Mathematics 5| gh PLACE VALUE nay Round using a Number line — uns yn : 4 Round 1,143 to the nearest 10. MS « First find which two tens the number lies between. + Mark the halfway point on the number line, correct place on the n rounds to 1,140. i mber li « Place the number to be rounded in the umber line, 1,143 is closer to 1,140 on the number line, So 1,143 b Round 7,750 to the nearest 100. 750 comes between the hundreds 7,700 and 7,800. 77%) 0 is halfway between 7,700 and 7,800. : 7700 7.800 As per the rule, 7,750 is rounded to 7,800. © Round 27,454 to the nearest 1,000. «27,484 is between the thousands 27,000 and 28,000. 4,45 + 27,454 is closer to 27,000. Tran wise aan 27,454 is rounded to 27,000. d Round 2,625 to the nearest 1,000. You can also think of the number line as a series of hills and valleys. 1,500 2,500 3,500 4,500 5,500 DSL 7,000 2,000 «3,000 4,000» $000 6,000 + Imagine a ball at 2,625. It would roll down to the number 3,000. 2,625 rounded to the nearest 1,000 is 3,000. * A ball at 5,324 would roll back to 5,000. 5,324 rounded to the nearest 1,000 is 5,000. Round using Place Value Round 17,698 to the nearest 1,000. * Find the two multiples of 1,000 that the number lies between. 17,698 lies between 17,000 and 18,000. | * Place the number in the place value chart. New roving Mathematics+ Find che digit in the place you are rounding to. 7'is in the thousands place ee * Look at the digit to its right. UL) folomuieic) 6 is the digit to its right i 7 . 1%: * Since 6 > 5, 17, 698 rounds to the next highest multiple of 1000 that is 18,000. Exercise 1D... Solve. Use any method you like. 1 Round to the nearest 10. a 1,346 b 2,388 ¢ 1,014 d 92,407 e 11,003 2 Round to the nearest 100. a 649 b 5,325 © 6,850 d 14,910 © 58,009 3° Round to the nearest 1000. a 2,364 b 9,846 © 4,096 d 35,502 © 97,764 4 Pretend that you are a newspaper reporter. Rewrite these news headlines by rounding. a The municipal corporation spent & 5,94,830 on repairing the roads. (nearest 1,000) b 389 people attended the meeting of coin collectors in the city. (nearest 100) ¢ The Rajdhani Express was delayed by S hours and 15 minutes. (nearest hour) 5 Shade the following using a pencil. a 2-digit numbers that round to 70. b 3-digit numbers that round to 800 ¢ 4-digit numbers that round to 9,000 2 2 & a a 5 = — m New Enjoying Mathematics| | | PLACE VALUE three? Refer to Maths Lab Activity on page 25. HewtEjoyng Mathomnabis & NUMBER PATTERNS 1 Consecutive Numbers ; . mber line are consecutive numbers on the nul a mbers to 1-digit numbers. Can you Numbers that come one after the other on the This pattern has been made by changing 2-digit see how? Complete the pattern. ae g 9 10 11 12:13 14 15 16 1 2 3 4. = = 26 27 28 29 30 31 32 123 4 5 6 7 123 4 567 8 9 17 18 19 20 21 22 23 24 5 10 2 3 “ = 1 no 2 Consecutive Even Numbers 2 4 6 8 10 12 14 16 2 4 6 8 13 5 LF = = = = 26 28 30 32 34 36 38 40 42 44 46 18 20 22 24 Add only til | youseea | pattern, then | complete = a 3 Consecutive Odd Numbers 13 °5 7 9 11 13 18 7 19 21 23 25 27 29 hy PASCAL'S TRIANGLE Look for a pattern. Extend the triangle by another two rows. 1 11 Explore consecutive numbers. Ee a Take 3 consecutive numbers 5,6,7 121 1331 Multiply the middle number by itself 6x 6-36 14641 Multiply the remaining two numbers 5x7=39 The difference is 1! (36-351) Do the same with these consecutive numbers. 13,45 i 23,4 iH 67,8 iv 7,8,9 b Do the same with three consecutive odd numbers and three consecutive even numbers. What do you notice? There are many patterns in this triangle. Can you spot at leastfy ROMAN NUMBERS You are familiar with Roman numbers up to 39. Let us look back at the rules of forming Roman numerals and apply it to numbers up to 100. Remember that the Romans did not have ‘0’, so they did not use place value. They had seven basic symbols represented by these letters. Roman number 1 v x CeO nen Hindu-Arabic 1 S10 50100 : S00 1,000 They formed other numbers by combining these letters and following certain rules. * Putting a letter after one of bigger value means you add it. x ec a 75 = LXV (50+10+10+5) b 60=LX(50 +10) ‘oN * Putting a letter before one of bigger value means you subtract it. Vand Lare never subtracted. 1 can be subtracted from Vand X only, ©X can be subtracted from Land C only a 40 =XL(50- 10) b 94=XCIV (100-10) +(5-1)=90+4 Alletter can be repeated up to a maximum of three times only. 80 = LXXX (50 + 10+ 10+ 10) When a smaller number that has been made of two letters using the addition/subtraction rule is combined with a larger number, the whole of the smaller number is written to the right of the larger one. ; a 59= LIX x ¢ b 74=70+4=LX+IV=LXIV \ Nv °V and Lare never repeated. Correct this Roman number sentence in three different ways. Write the ages of your family members in Roman numerals. a By moving one stick b By removing one stick A € By not touching any stick | Neer ANIVA 39V1dExercise 1E .., 1 Fill in the boxes with Hindu-Arabic numerals. wr i 40 : i : 2) Write the Hindu-Arabic numerals. a XXIV b xc ¢ Wil d XLV © LXV F LOX 3 Write the numbers from 41 to 100 in your exercise book using Roman numerals. 4 Compare using <, >, or= axc |xL b xuv[_ |e c rom JX d wif }c x ¢ 5 Give the answer in Roman numerals. ary axxvext —_b LX +XIl DK+K dd L-XXXIX ancient Egyptians did not have a place value system, and neither did they have a symbol for zero. This is how they wrote their numbers. Stick 1 Since they did nothave a place value | system, they simply combined the symbols | and added their values. So they could write 100 | the symbols in any order. 1000 we ALIN | 30 ANNNAN Se 10 Heel bone Coiled rope Lotus flower aaa ce Pointing finger 10,000 : | Tadpole 4 1,00,000 is : es TNC ANNAN AM UHIL Astonished man Of 10,00,000 «# Weite your age in standard numerals and Egyptian numbers. # Write the year of your birth in standard numerals and Egyptian numerals. + Write the year of our independence in standard numerals and Egyptian numerals. CK PLACE VALUE New Enjoying Mathematics 5 |1 Write the following numerals in word form and expanded notation. a 11,00,948 —-b 78,98,001 —¢ ‘§,67,03,670 | Vocabulary Review 2 Write the figures. ie eatans notatan * Ascending order Thirty lakh, i a Thirty lakh, seventy thousand, three hundred six IP esestieg shir 1 | b Four crore, seventeen lakh, one hundred ninety-five i © Digit Forty-eight I ¢ Forty-eight lakh, three hundred five ei 3 Give the place value of the coloured digit: | Period a 4,56,78,923 b 54,69,345 —¢_‘9,76,13,984 | ¢ Roman numbers | © Is greater than 4 What are the greatest and the smallest 7-digit numbers youcan— Ig less than make using the digits 3, 5, 7, 1, 2? (Digits may be repeated.) ft Fac vale zt * Place value 5 Write the number after: 7 | © Consecutive a 79,98,999 b 15,09,999 |e Lakh * Crore * Multiple © International system 7 Compare using >, < or =. | # Indian system a 5,67,98,345| | 5,76,98,435 bb 67,83,009{ _ |67,08,900 * Million | Hundred thousand ein |c d voa{_}xux Soe © Midway point 6 Write the number before: a 5,10,000 b 13,80,970 8 Put the commas using the international system and rewrite these statements using the word form of the number. a A 15-year-old boy would have lived for 131400 hours b 2401596 people travelled by planes this year. 9) Rewrite these news headlines by rounding. a The flight carrying the cricketers from South Africa landed at 8:18 p.m. (Round to the nearest half hour.) b The stolen collection had 13,078 precious stamps and coins. (Round to the nearest 1000.) 10 Write the Roman numerals for: a 29 b 12 c 81 d 95 11 Solve using Roman numerals. a XCI- LXV XLVIL+ XXXIX cc DOXK- XXX! a ‘Chapter Check-Up .-"""""**- 3N1VA 39V1d New Enjoying Mathematics 5 a .| Worksheet .... «ac ofthe world. Study the list a Given below are the land areas ofthe ten largest countries nd answer the questions below. Approximate C pee area in sq. km Argentina 27,66,890 Australia 76,86,850 acute oceax moran Brazil 85,11,965 @ Canada 99,84,670 sourucky occay China 95,96,960 India 32,87,590 Kazakhstan 27,17,300 Did you know that Vatican City is the Russia 1,70,75,200 smallest country in the world with an Sudan 25,05,810 larea of 1 sq. km? USA 5 96,29,091 Solve: 1 Rewrite the list in order of largest to smallest land area. 2. Which is the largest country? 3. Which is the smallest country in the list? 4 Rewrite the area of the largest and smallest countries using the international system in figures and words. Write the area of India in words. w What is the place value of 8’ in the number giving the area of Canada? Read out loud the list made by you for question 1. PLACE VALUE ing Mathematics 5 ahMaths Lab Activity. Number Patterns Objective: To explore number patterns—triangular and square numbers. @ Material Required: Bindis, sheets of paper Preparation: Students may work in pairs. Steps: 1. One student sticks the bindis on a sheet of paper in the Triangular Numbers form of triangles as shown. aa 2. The other student counts and records the number ofbindis g S% SM needed for each triangle. Heer aieaeseg' 10 3. Then they find alll the triangular numbers up to SO.using ——sauare Numbers bindis or dots. 909 4. Nes, one student sticks the bindis in hown, gg $88 8338 . Next, cks the bindis into squaresas shown. $B BB GBGS 5. The other student counts and records the number ofbindis, | needed for each square. 6. They then find all the square numbers up to 50 using the pattern. 7. Then each student finds the triangular and square numbers upto 100 using the pattern. Record the Activity: Triangular numbers: Square numbers: 1,3, 14, Try this out! Colour all the triangular numbers and square numbers in the grid given below: 1:253.4°5.6:7:8:9:10 1:2:3!4°5.6'7:8'9 10 1112.13.14: 15:16:17:18'19:20 14:12 13:14 15 16 1718 19 20 21 22:23 24 25:26 27 28 29°30 21:22'23 24 25/26 27 28 29°30 31 32.33.34 35 36:37 38 39:40 31 32:33 .34 35:36:37 38:39:40 41/42'43 44/45 46:47 48 49:50 41:42.43 44:45:46 47'48. 49.50 51 52.$3'S4 55.56 57 58.59 60 51.52/53 '$4'55'S6 57:58 59 60 61 62:63 64:65 66-67 °68 69.70 61 62/63 64:65 66°67 68 69 70 71.72:73 74.75: 76:77:78 79 80 71 72 73:74:75: 76 77:78:79 :80 81 82:83 84:85 86:87 88:89 90 81 82/83 84.85 86 87 88 89.90 91'92:93'94:95 96:97. 98:99 100 91 92'9394°95 96 97 98 99100 Triangular Numbers Square Numbers Count the boxes between the coloured numbers. Do you see a pattern? tae New Enjoying Mathematics 5 ANIVA 32V1d