Maths Binder 19.12.16

Train my brainRound off the following numbers:a) 459 to the nearest 100 b) 26 to the nearest 10 c) 41 to the nearest 1003.3 I ApplyLet us see some real life examples where we can use the knowledge of rounding offnumbers.Example 18: 27 people were expected to attend a meeting. How many chairs should be hired, rounded to the nearest 10?Solution: In 27, the digit in ones place is more than 5. So, 27 is rounded off to 30. Hence, 30 chairs should be hired.Example 19: There are 848 athletes running in a marathon. Each one of them was given a bottle of water. How many bottles of water should be brought, rounded to the nearest 100?Solution: In 848, the digit in tens place is less than 5. So, 848 is rounded off to 800. Hence, 800 bottles of water should be brought.Example 20: 7965 students of a school are to be given 1 flag each to hold. How many flags should be brought, rounded to the nearest 1000?Solution: In 7965, the digit in hundreds place is more than 5. So, 7965 is rounded off to 8000. Hence, 8000 flags should be brought.L01_V2_PPS_Maths_G4_TB.indd 17 Numbers 17 12/9/2016 3:28:00 PM

3.3 I Explore (H.O.T.S.)Let us practise more of rounding off numbers.Example 21: Round off 67589 to the nearest tens, hundreds, thousands and ten thousands.Solution: 67589 rounded to the nearest tens is 67590. 67589 rounded to the nearest hundreds is 67600. 67589 rounded to the nearest thousands is 68000. 67589 rounded to the nearest ten thousands is 70000.Example 22: Consider the digits 5, 2, 9 and 6. Make the smallest and the largest 4-digit numbers using the given digits only once. Round off both numbers to the nearest 1000.Solution: The smallest number that can be formed using the given digits only once is 2569. The largest number can be formed using the given digits only once is 9652. 2569 rounded to the nearest 1000 is 3000. 9652 rounded to the nearest 1000 is 10000. Maths munchiesSometimes, it is easy to draw a number line for rounding off numbers.For example, round off 64 to the nearest 10.Solution: Step 1: Draw a number line as shown below:Step 2: Find which tens 64 is closer to. 213Step 3: 64 is closer to 60. So, 64 is rounded off to 60. 18 12/9/2016 3:28:00 PML01_V2_PPS_Maths_G4_TB.indd 18

Connect the DotsSocial fun Different languages are spoken in different states. These languages have different scripts. Look at the numbers in Gujarati script given below: Now, write the following numbers in Gujarati. One has been done for you. 1) 23457 − 23457 2) 45786 − ___________ 3) 69724 − ___________ 4) 86258 − ___________Science fun The Challenger Deep is the deepest point known in the Earth’s oceans. Its depth is about 10,994 m approximately. A Note to ParentWrite the first 5 digits and last 5 digits of your mobile number on a piece of paper. Ask your child to read the numbers. Create similar short problems for his/her practise.L01_V2_PPS_Maths_G4_TB.indd 19 Numbers 19 12/9/2016 3:28:01 PM

Drill timeConcept 1.1: Count by Ten Thousands1) Write the numbers in the place value chart.a) 87130 b) 49130 c) 84019 d) 59104 e) 189382) Write the place value and face value of the following numbers:a) 4 in the 41351 b) 8 in 49189 c) 6 in 76193 d) 3 in 12413 e) 0 in 401393) Write the following numbers using periods.a) 85925 b) 52048 c) 10450 d) 98204 e) 759204) Write the numbers in their expanded forms:a) 41049 b) 58104 c) 95640 d) 65930 e) 104825) Form the numbers:a) 8 in the ten thousands place, 4 in the thousands place, 1 in the hundreds place, 0 in the tens place and 7 in the ones placeb) 4 in the ten thousands place, 1 in the thousands place, 0 in the hundreds place, 3 in the tens place and 8 in the ones placec) 7 in the ten thousands place, 9 in the thousands place, 6 in the hundreds place, 5 in the tens place and 3 in the ones placed) 6 in the ten thousands place, 4 in the thousands place, 5 in the hundreds place, 6 in the tens place and 2 in the ones placee) 1 in the ten thousands place, 5 in the thousands place, 7 in the hundreds place, 9 in the tens place and 6 in the ones placeConcept 1.2: Compare and Order 5-digit Numbers6) Compare the numbers:a) 85704, 45910 b) 05814, 41049 c) 75031, 51840d) 15813, 62104 e) 39520, 39520 20 12/9/2016 3:28:01 PML01_V2_PPS_Maths_G4_TB.indd 20

Drill time7) Arrange the numbers in ascending and descending orders.a) 51058, 58104, 58104 and 58041b) 98765, 87659, 76598 and 65987c) 77654, 77653, 77651 and 77652d) 65807, 26806, 96905 and 14068e) 58104, 67104, 71048 and 403288) Form the largest and the smallest numbers.a) 5, 2, 6, 1, 0 b) 9, 6, 1, 5, 3 c ) 7, 4, 1, 8, 5 d) 1, 5, 2, 3, 8 e) 6, 9, 1, 5, 0Concept 1.3: Round off Numbers9) Round off the numbers to the nearest tens, hundreds, thousands and ten thousands.a) 75917 b) 57141 c) 87610 d) 36104 e) 1750110) Word problems:a) The names of some places and their populations are given below. Use this information to answer the questions that follow: Pune: 88,043 Bodhwad: 91,256 Moregaon: 87,012 Velhe: 64,497 Jamnagar: 76,201 Mysore: 85,890 a) What is the population of Panjim? Write it in words. b) What is the population of Mumbai? Write it in words. c) Which of the places place, Pune or Mysore, has more population?b) Rajat went to an electronic shop with his father. They have ` 45000 with them. The cost of a television is ` 54000. Do they have enough money to buy the television? If not, how much money more is needed to buy the television?L01_V2_PPS_Maths_G4_TB.indd 21 Numbers 21 12/9/2016 3:28:01 PM

GRADE 4 Maths WB(with answer keys) 2017- 2018

Chapter 3 Numbers Concept 3.1 Count by Ten Thousands3.1 I RecallMultiple Choice Questions [A]1) The number name for 4000 is: [B] [C](A) four thousand (B) four hundred (C) forty (D) four (D) 999992) The smallest 4-digit number is:(A) 10000 (B) 1000 (C) 1000003) The number name for 2450 is:(A) two hundred fifty(B) two thousand four hundred(C) two thousand four hundred and fifty(D) two thousand and fifty3.1 I Remember and UnderstandMultiple Choice Questions [B]4) The place value for 3 in 36456 is: [C](A) 3000 (B) 30000 (C) 300 (D) 30 (D) 40005) The face value of 4 in the number 65470 is:(A) 400 (B) 40 (C) 4 Numbers 1Maths Grade 4 Students copy.indd 1 11/16/2016 7:47:30 PM

6) The smallest 5-digit number comes just after the largest _____ number. [D](A) 3-digit (B) 2-digit (C) 5-digit (D) 4-digitFill in the Blanks7) The number name for 72145 is seventy two thousand one hundred and forty five.8) The number for nineteen thousand two hundred and thirty eight is 19238.9) Eighty two thousand one hundred and sixty is the number name for 82160.Very Short Answer Questions10) What is the number name for 31829?Solution: Thirty one thousand eight hundred and twenty nine.11) How many thousands are there in 71053?Solution: There are 71 thousands in 71053.12) Which is the largest 5-digit number?Solution: 99999Short Answer Questions13) Add 10000 + 5 and write your answer as a number name.Solution: 10000 + 5 = 10005Number name for 10005 is ten thousand and five.14) Expand the number 42819.Solution: The place value of each digit isT th Th H T O42819Hence the expanded form of 42819 is4 × 10000 + 2 × 1000 + 8 × 100 + 1 × 10 + 9 × 1= 40000 + 2000 + 800 + 10 + 9 2 11/16/2016 7:47:30 PMMaths Grade 4 Students copy.indd 2

Long Answer Questions15) Find the place value and face value of 1 in the numbers given below:14235, 714, 94152, 1, 12Solutiion: Number Place value Face value 14235 10000 1 714 10 1 94152 100 1 11 1 12 10 116) Write the expanded form of the numbers and their number names.a) 56789 b) 93467Solution: a) 56789 = 5 × 10000 + 6 × 1000 + 7 × 100 + 8 × 10 + 9 × 1 = 50000 + 6000 + 700 + 80 + 9 Number name = Fifty six thousand seven hundred and eighty nineb) 93467 = 9 × 10000 + 3 × 1000 + 4 × 100 + 6 × 10 + 7 × 1 = 90000+ 3000 + 400 + 60 + 7 Number name = Ninety three thousand four hundred and sixty sevenMaths Grade 4 Students copy.indd 3 Numbers 3 11/16/2016 7:47:30 PM

3.1 I ApplyShort Answer Questions17) Number of flowers in shop A and shop B are as given below. Separate the periods in the numbers given below and write the number names of the number of flowers in shop A and shop B. a) Shop A: 52163 b) Shop B: 74199Solution: a) Shop A: 52,163: Fifty two thousand one hundred and sixty three. b) Shop B: 74,199: Seventy four thousand one hundred and ninety nine.18) Form a number which has 3 in the tens place, 5 in the ones place, 1 in the hundreds place, 8 in the thousands place, 8 in the ten thousands place.Solution: To form the numbers, write the given digits in their places in the place valuechart as shown below: T Th Th H T O 88135Long Answer Questions19) Write the numbers given below with the digits in their proper places in the place value chart. a) 56412 b) 24910 c) 38761 d) 11458Solution: T Th Th H T O 56412 24910 38761 1145820) How many rupees do the following make in all? 20 notes of `100, 4 notes of ` 2000, 5 notes of ` 10.Solution: 20 notes of `100 = 20 × ` 100 = ` 2000 4 notes of ` 2000 = 4 × ` 2000 = ` 80004Maths Grade 4 Students copy.indd 4 11/16/2016 7:47:31 PM

5 notes of `10 = 5 × ` 10 = ` 50So, ` 2000 + ` 8000 + ` 50 = `10050Therefore, the given notes make ` 10,050 in all.3.1 I Explore (H.O.T.S.)Short Answer Question21) Write the face value and the place value of the two digits underlined in the number and find the sum of place values.54726Solution: Face value of 5 = 5Place value of 5 = 50,000Face value of 4 =4 Place value of 4 = 4,000 Sum of place values = 50,000 + 4,000 = 54,000Long Answer Question22) Write the face values and the place values of the two digits underlined in the number and find difference between their place values.a) 90275 b)62741Solution: a) 90275 b) 62741Face value of 9 = 9 Face value of 2 = 2Place value of 9 = 90, 000 Place value of 2 = 2,000Face value of 7 = 7 Face value of 4 = 4Place value of 7 = 70 Place value of 4 = 40Difference = 90,000 – 70 Difference = 2,000 – 40= 89,930 = 1,960Maths Grade 4 Students copy.indd 5 Numbers 5 11/16/2016 7:47:31 PM

Concept 3.2 Compare and Order 5-digit Numbers3.2 I RecallMultiple Choice Questions1) The largest number among 5123, 5231, 5312, and 5132 is: [B](A) 5123 (B) 5312 (C) 5231 (D) 51322) Which of the following is the smallest 4-digit number? [D](A) 1524 (B) 1542 (C) 1566 (D) 15163) Compare the given numbers using the given symbols. [A]3258 ___ 4238(A) < (B) > (C) = (D) none of these3.2 I Remember and UnderstandMultiple Choice Questions4) What will be the largest number formed by using the digits 4, 9, 6, [A] 7 and 0 only once?(A) 97640 (B) 96740 (C) 94670 (D) 974605) Which is the smallest number among the following? [B](A) 32156 (B) 22940 (C) 85218 (D) 872166) Compare the given numbers using the given symbols. [B]68392 ___ 44276(A) < (B) > (C) = (D) none of these 6 11/16/2016 7:47:31 PMMaths Grade 4 Students copy.indd 6

Fill in the blanks with the <, > or =:7) 33640 > 239928) 18475 < 450259) 20106 = 20106Very Short Answer Questions10) Find the smaller number by comparing the numbers 63902 and 46329.Solution: 4632911) Which of the following is the smallest number?70266, 76260, 70662, 72600Solution: 7026612) Find the greater number by comparing the numbers 82065 and 96250.Solution: 96250Short Answer Questions13) Compare 81746 and 81859 and find the lesser number.Solution: The digits in the ten thousands place and the thousands place are the same. So, compare the digits in the hundreds place.Here, 8 hundreds >7hundreds. Thus, 81746 < 81859.14) Compare 98817and 98578 and find the greater number.Solution: The digits in the ten thousands place and the thousands place are the same. So, compare the digits in the hundreds place.Here, 8 hundreds > 5 hundreds. Thus, 98817 > 98578.Long Answer Questions15) Compare the given pair of numbers and find the greater number.a) 69013 and 63872 b) 42184 and 46248Maths Grade 4 Students copy.indd 7 Numbers 7 11/16/2016 7:47:31 PM

Solution: a) As the digits in the ten thousands place of both the numbers are the same, compare the digits in the thousands place. Here, 9 thousands > 3 thousands. Thus, 69013 > 63872. b) As the digits in the ten thousands place are the same, compare the digits in the thousands place. Here, 6 thousands > 2 thousands. Thus, 46248 > 42184.16) Compare the given pair of numbers and find the lesser number.a) 83450 and 83122 b) 65423 and 65837Solution: a) The digits in the ten thousands place and the thousands place are the same. So, compare the digits in the hundreds place. Here, 1 hundreds < 4 hundreds. Thus, 83122 < 83450.b) The digits in ten thousands place and thousands place are the same.So, compare the digits in the hundreds place.Here, 4 hundreds < 8 hundreds. Thus, 65423 < 65837. 3.2 I ApplyShort Answer Questions17) Arrange the given numbers in descending order. a) 34570, 36840, 37092, 32291 b) 68956, 69540, 60979, 62479Solution: a) 37092, 36840, 34570, 32291 b) 69540, 68956, 62479, 60979 8 11/16/2016 7:47:31 PMMaths Grade 4 Students copy.indd 8

18) Arrange the given numbers in ascending order.a) 22641; 23840; 17090; 18229b) 87356; 87284; 89122; 55130Solution: a) 17090, 18229, 22641, 23840b) 55130, 87284, 87356, 89122Long Answer Questions19) Form the greatest and the smallest 5-digit numbers by using the numbers given and find their difference.a) 6, 1, 8, 3, 0 b) 8, 0, 1, 2, 9Solution: a) The greatest 5-digit number = 86310The smallest 5-digit number = 10368Difference = 86310 – 10368 = 75942b) The greatest 5-digit number = 98210The smallest 5-digit number = 10289Difference = 98210 – 10289 = 8792120) Arrange the given numbers in descending order.a) 33690; 42710; 42170; 32690b) 87325; 88651; 83951; 90351c) 62415; 63142; 62413; 63152d) 53241; 52641; 52914; 53421Solution: a) 42710, 42170, 33690, 32690b) 90351, 88651, 87325, 83951c) 63152, 63142, 62415, 62413d) 53421, 53241, 52914, 52641Maths Grade 4 Students copy.indd 9 Numbers 9 11/16/2016 7:47:31 PM

3.2 I Explore (H.O.T.S.)Short Answer Question21) Use 4, 5 and 6 to form a 5-digit number such that it is the same when you read from left to right or right to left.Solution: 5-digit number = 65456Long Answer Question22) I am a 5-digit number. If my hundreds digit is two times my tens digit, tens digit is three times the ones digit, ten thousands digit is thrice the ten’s digit, thousands digit is 2 more than the hundreds digit and my ones digit is 1, who am I?Solution: Ones digit = 1 Tens digit = 3 × ones digit = 3 × 1 = 3 Hundreds digit = 2 × tens digit = 2 × 3 =6 Thousands digit = hundred digit + 2 = 6 + 2 = 8 Ten thousands digit = 3 × 3 = 9 Therefore, the number = 98631. Concept 3.3 : Round off Numbers3.3 I RecallMultiple Choice QuestionsCompare the given numbers using <, > or = sign.1) 5 ___ 7 [A] (D) both A and B(A) < (B) > (C) = [A]2) 240 _____ 200 (D) all of the above(A) > (B) < (C) = 10 11/16/2016 7:47:31 PMMaths Grade 4 Students copy.indd 10

3) 25 ___ 25 (B) > (C) = [C] (A) < (D) both A and B3.3 I Remember and UnderstandMultiple Choice Questions4) 1563 rounded to the nearest 10 is: [B](A) 1562 (B) 1560 (C) 1571 (D) 15705) 190 rounded off to the nearest 100 is: [A](A) 200 (B) 191 (C) 250 (D) 1506) In rounding off, if the digit in the ones place is less than 5, then the [C]digit in the ones place is replaced with______.(A) 2 (B) 1 (C) 0 (D) 5Fill in the Blanks7) 16769 rounded off to the nearest 10 is 16770.8) 21741 rounded off to the nearest 100 is 21700.9) 92478 rounded off to the nearest 1000 is 92000.Very Short Answer Questions10) What is 1234 rounded off to the nearest 10?Solution: In 1234, the digit in the ones place is 4, which is less than 5.So, we round off 1234 to 1230.11) Round off 21742 to the nearest 100.Solution: In 21742, the digit in the tens place is 4. So, it is rounded off to 0.So, 21742 is rounded off to 21700.12) Round off 24190 to the nearest 1000.Solution: 1 < 5. Therefore, 24190 is rounded off to 24000.Maths Grade 4 Students copy.indd 11 Numbers 11 11/16/2016 7:47:32 PM

Short Answer Questions13) Round off 999 to the nearest 1000.Solution: The digit at the hundreds place is 9.9>4Replace the digits in the hundreds, tens and ones places by zeros andincrease the digit in the thousands place by 1.So, 999 rounded off to the nearest 1000 is 1000.14) Round off 459 to the nearest 100.Solution: The digit at tens place is 5.Replace the digits in the ones and tens places with 0 and increase the digitin the hundreds place by 1.459 rounded off to the nearest 100 is 500.Long Answer Questions15) Round off the following numbers to the nearest 10.a) 612 b) 567Solution: a) 612The ones place digit is 2 which is less than 5. So, the digit in the ones placeshould be replaced with zero.Thus, 612 rounded off to the nearest 10 is 610.b) 567The ones place digit is 7 which is greater than 5. So, the digit in the onesplace should be replaced with zero and 1 is added to the tens place digit.Thus, 567 rounded off to the nearest 10 is 570.16) Round off the following numbers to the nearest 100.a) 714 b) 376Solution: a) 714 The tens place digit is 1 which is less than 5. So, the digit in the ones and thetens place should be replaced with zero. 12 11/16/2016 7:47:32 PMMaths Grade 4 Students copy.indd 12

Thus, 714 rounded off to the nearest 100 is 700. b) 376 The tens place digit is 7 which is less than 5. So, the digit in the ones and the tens place should be replaced with zero and 1 is added to the hundreds place digit. Thus, 376 rounded off to the nearest 100 is 400.3.3 I ApplyShort Answer Questions17) 25 people were expected to attend a meeting. How many chairs should be hired, rounded to the nearest 10?Solution: In 25, the digit in the ones place is 5. So, 25 is rounded off to 30. Hence, 30 chairs should be hired.18) There are 899 athletes running in a marathon. Each one of them was given a bottle of water. How many bottles of water should be brought, rounded to the nearest 100?Solution: In 899, the digit in the tens place is more than 5. So, 899 is rounded off to 900. Hence, 900 bottles of water should be brought.Long Answer Questions19) 7974 students of a school are to be given 1 flag each to hold. How many flags should be brought, rounded to the nearest 1000?Solution: In 7974, the digit in the hundreds place is more than 5. Replace the digit in the ones, tens and hundreds place with 0 and increase the digit in thousands place with 1. So, 7974 is rounded off to 8000. Hence, 8000 flags should be brought.Maths Grade 4 Students copy.indd 13 Numbers 13 11/16/2016 7:47:32 PM

20) Round off 765 and 845 to the nearest 100 and add.Solution: Digit at the tens place in 765 = 6 6 > 5. Replace the digits in the ones and tens places with 0 and increase the digit in the hundreds place by 1. So, 765 rounded off to the nearest 100 is 800. Digit at the tens place in 845 = 4 4 < 5. Replace the digits in the tens and ones place with zeros (0). So, 845 rounded off to the nearest 100 is 800. 800 + 800 = 1600 3.3 I Explore (H.O.T.S.)Short Answer Question21) Round off 67586 to the nearest tens, hundreds, thousands and ten thousands.Solution: 67586 rounded to the nearest tens is 67590. 67586 rounded to the nearest hundreds is 67600. 67586 rounded to the nearest thousands is 68000. 67586 rounded to the nearest ten thousands is 70000.Long Answer Question22) Consider the digits 5, 3, 9 and 7. Make the smallest and the largest 4-digit numbers using the given digits only once. Round off both numbers to the nearest 1000.Solution: The smallest number that can be formed using the given digits only once is 3579. The largest number can be formed using the given digits only once is 9753. 3579 rounded to the nearest 1000 is 4000. 9652 rounded to the nearest 1000 is 10000.14

GRADE 5Maths TB 2017- 2018

Chapter 3 Large Numbers I will LearnConcepts3.1: Count by Lakhs, Ten Lakhs and Crores (Indian and International)3.2: Roman NumeralsG5_Chapter_1_TB.indd 1 Large Numbers 1 12/9/2016 2:44:47 PM

Concept 3.1: Count by Lakhs, Ten Lakhs and Crores (Indian and International) I ThinkKhushi read 123456 as one lakh twenty three thousand four hundred and fifty six.Her cousin who stays in the U.S. read it as one hundred twenty three thousandsfour hundred fifty six. Do you think they both are right?To answer this, we need to learn to count by lakhs, ten lakhs and crores.3.1 I RecallWe know to read and write 5-digit numbers.The places of a 5-digit number are ones, tens, hundreds, thousands and ten thousands.Place value chart Ten Thousands Hundreds Tens Onesthousands 100 10 110000 1000Successor and predecessorWe know that the successor of a given number is 1 more than the given number andthe predecessor of a given number is 1 less than the given number. For example: Predecessor Number Successor (Number – 1) (Number + 1) 6,940 6,939 50,493 6,941 89,989 50,492 50,494 89,988 89,990 2 12/9/2016 2:44:48 PMG5_Chapter_1_TB.indd 2

3.1 I Remember and UnderstandThe largest 5-digit number is 99999. To find its successor, we add 1 to it. T Th Th H T O L T Th Th H T O 1111 11 1 1 99999 99 9 9 9 1+1 + 0 0 0 100000 100On doing so, get a new place in the place value chart. It is called the one lakhsplace.We write ‘L’ for lakhs.100000 is read as one lakh. It is the smallest 6-digit number.Some numbers beyond a lakh are as follows: 100000 + 1 = 100001 = One lakh one 100000 + 50 = 100050 = One lakh fifty 100000 + 400 = 100400 = One lakh four hundred 100000 + 5000 = 105000 = One lakh five thousandSimilarly, we get 7 lakhs, 8 lakhs and 9 lakhs and so on.Hence, the smallest 6-digit number is 100000 and the largest 6-digit number is 999999.999999 = Nine lakhs ninety nine thousand nine hundred and ninety nineSeven digit numbers L T Th Th H T OThe largest 6-digit number is 999999. We get 1 1111its successor by adding 1 to the number as 9 99999shown: +1 10 0 0 0 0 0G5_Chapter_1_TB.indd 3 Large Numbers 3 12/9/2016 2:44:48 PM

The number thus formed is read as ten lakhs. In short, we write it as T L. It is the smallest7-digit number. When we add 1 to the largest 6-digit number, we get the smallest7-digit number. The largest 7-digit number is 9999999 which is read as ninety ninelakhs ninety nine thousand nine hundred and ninety nine.Eight digit numbers T L L T Th Th H T OWe know that 9999999 is the largest 1111117-digit number. We get its successor by 9999999adding 1 to it as shown below.The new number thus formed is 10000000 + 1which is read as 1 crore. We write it in short 1 0 0 0 0 0 0 0as C.When we add 1 to the largest 7-digit number, we get the smallest 10 Lakhs = 1 Million8-digit number. 1 Crore = 10 MillionWe shall now discuss the methods of expressing a number inwords.There are two commonly used systems of numeration.1) The Indian place value chart 2) The International place value chart1) The Indian place value chart:To read and write large numbers easily, we separate them into groups or periods,using commas(,). In the Indian system of numeration, the first period is the onesperiod consisting of the first three digits of the number. The other periods to the lefthave two places each. We understand this method better by looking at the IndianPlace Value Chart given below: Crores Lakhs Thousands OnesTen Crores ( T C ) 10,00,00,000 Crores ( C ) 1,00,00,000 Ten Lakhs ( T L ) 10,00,000 Lakhs ( L ) 1,00,000 Ten Thousands ( T Th ) 10,000 Thousands ( Th ) 1,000 Hundreds ( H) 100 Tens (T) 10 Ones (O) 1 4 12/9/2016 2:44:48 PMG5_Chapter_1_TB.indd 4

From the place value chart, we infer that: 1 ten = 10 ones 1 lakh = 10 ten thousands 1 hundred = 10 tens 1 ten lakh = 10 lakhs 1 thousand = 10 hundreds 1 crore = 10 ten lakhs 1 ten thousand = 10 thousands 1 ten crore = 10 croresNumbers having 1 to 10 digits Number of digits Smallest number Greatest number 1 0 9 2 10 99 3 100 999 4 1000 9999 5 10000 99999 6 100000 999999 7 1000000 9999999 8 10000000 99999999 9 100000000 999999999 10 1000000000 99999999992) The International place value chart:In the International system of numeration also, the number is split into groups andperiods. The periods are ones, thousands, millions and billions. Each period, in turn,has three places. Look at the International place value chart to understand better.Billions Millions Thousands Ones HM TM M HT One H Th T Th Th OBillionOne Billion 1,000,000,000 Hundred Million 100,000,000 Ten Million 10,000,000 One Million 1,000,000 Hundred Thousand 100,000 Ten Thousand 10,000 One Thousand 1,000 Hundred 100 Tens 10 Ones 1G5_Chapter_1_TB.indd 5 Large Numbers 5 12/9/2016 2:44:48 PM

Equivalents of numbers in the Indian and International systems Number Indian system International system1,00,000 One lakh One hundred thousand10,00,000 Ten lakhs One million1,00,00,000 One crore One ten million10,00,00,000 Ten crores One hundred million100,00,00,000 One hundred crores One billionExample 1: Separate the periods with commas and write the number names of the following in both Indian and International systems of numeration. a) 608964589 b) 27908621 c) 101010101Solution: Numbers Indian system International systema) 608964589 60,89,64,589 608,964,589 Sixty crores eighty nine lakhs sixty Six hundred and eight millionb) 27908621 four thousand five hundred and nine hundred and sixty four eighty nine thousand five hundred andc) 101010101 eighty nine 2,79,08,621 27,908,621 Two crores seventy nine lakhs Twenty seven million nine eight thousand six hundred and hundred and eight thousand twenty one six hundred and twenty one 10,10,10,101 101,010,101 Ten crores ten lakhs ten thousand One hundred and one million one hundred and one ten thousand one hundred and one Train my brainSeparate the periods using commas and write the names in theIndian and International systems.a) 45679034 b) 23497801 c) 9999567 6 12/9/2016 2:44:49 PMG5_Chapter_1_TB.indd 6

3.1 I ApplyWe use the concept of place value to:1) Compare large numbers2) Arrange numbers in ascending and descending orders1) Comparison of large numbersTo compare large numbers, we need to look at the digits in each place of the giventwo numbers. To make it easy, we shall follow the steps given below:Step 1: Write the numbers in the place value chart of the Indian system of numeration.Step 2: Check if the number of digits is the same. If yes, then proceed to step 3. Else, write the number with the fewer numbers of digits as the smallest one.Step 3: Compare the digits in each of the places. The number with the smallest digit in the same place is the smaller number.Note: Always start comparing the digits from the extreme left.Example 2: Compare and put the correct symbol >, < or = in the blank. a) 2,39,48,137 ________ 1,39,48,137 b) 41,14,41,141 ________ 41,14,41,141Solution: a) Let us write the given numbers in the place value chart as shown below: C T L L T Th Th H T O 23948137 13948137 In the crores place, 2 > 1. Hence, 2,39,48,137 > 1,39,48,137.G5_Chapter_1_TB.indd 7 Large Numbers 7 12/9/2016 2:44:49 PM

b) Let us write the given numbers in the place value chart as shown below: T C C T L L T Th Th H T O 411441141 411441141 As the digits in all places are the same, the numbers are equal. Hence, 41,14,41,141 = 41,14,41,141.2) Arrange numbers in ascending and descending ordersAscending order: The arrangement of numbers from the smallest to the biggest isknown as ascending order.Descending order: The arrangement of numbers from the biggest to the smallest isknown as descending order.Example 3: Arrange the given numbers in ascending and descending orders. 58348975; 14327818; 57124721; 23187542Solution: Write the numbers in the place value chart as shown below: C T L L T Th Th H T O 58348975 14327818 57124721 23187542 In the crores place, 5 > 2 > 1 In the ten lakhs place, 8 > 7 > 4 > 3 Thus, the ascending order of the given numbers is 14327818 < 23187542 < 57124721 < 58348975 Descending order of numbers is just the reverse of their ascending order. Thus, the descending order of the given numbers is 58348975 > 57124721 > 23187542 > 14327818. 8 12/9/2016 2:44:49 PMG5_Chapter_1_TB.indd 8

Example 4: The population of Town A is 36,15,492 and, that of Town B is 36,84,947. Which town has more population?Solution: Population of Town A = 36,15,492 Population of Town B = 36,84,947 Comparing the digits in the ten thousands place, we have: 36,84,947 > 36,15,492 Hence, the population of Town B is more than that of Town A.Example 5: The names of some countries and their populations are given below. Use this information to answer the questions that follow: Afghanistan: 2,91,17,000; Australia: 83,72,930; Canada: 3,42,07,000; Egypt: 7,88,48,000 a) What is the population of Afghanistan? Write in words. b) What is the population of Egypt? Write in words. c) Which country, Australia or Canada, has more population?Solution: a) The population of Afghanistan is two crores ninety one lakhs seventeen thousand. b) The population of Egypt is seven crores eighty eight lakhs forty eight thousand. c) As 3,42,07,000 > 83,72,930, Canada has more population.3.1 I Explore (H.O.T.S.)Let us solve a few more examples of large numbers.Example 6: What is the sum of the place values of the digit 7 in the number 7,98,06,724?Solution: The place values of 7 in 7,98,06,724 are 7 crores (7,00,00,000) and 7 hundred (700). Their sum is 7,00,00,000 + 700 = 7,00,00,700 Large Numbers 9G5_Chapter_1_TB.indd 9 12/9/2016 2:44:49 PM

Example 7: What is the difference between the place value and face value of the digit 5 in the number 2,56,00,017?Solution: The place value of 5 in 2,56,00,017 is 50,00,000 and its face value is 5. Their difference is 50,00,000 – 5 = 49,99,995 Maths munchiesI am a number whose face and place value is always the same. I was 213invented by ancient Indians and Romans don’t have me in their numbersystem. Who am I? Concept 3.2: Roman Numerals I ThinkKhushi bought a watch but she found it difficult to readthe time from it as she was not familiar with the numbers on it.Have you ever seen such numbers? Do you know what thosenumbers are?To answer this question, we must learn about Roman Numerals. 3.2 I RecallWe have already learnt about the large numbers. Let us recall them.1) Write the numbers names of the following numbers using Indian system:a) 42,52,572 – __________________________________________________________________b) 8,40,178 – ___________________________________________________________________c) 4,79,42,121 – ________________________________________________________________Other than the Indian and International system, we have one more system calledRoman numeral system. Let us learn about it. 10 12/9/2016 2:44:50 PMG5_Chapter_1_TB.indd 10

3.2 I Remember and UnderstandThe numerals that we use in our day-to-day life are The Roman numerals were1,2,3... These numbers are called the Hindu-Arabic used in ancient Rome. Itnumerals as they were developed in ancient India has 7 letters of English withand spread to the other parts of the world by Arab the help of which all othertraders. numbers are written.The Roman numeral system was followed in ancient The Roman numbers are -Rome. Nowadays, the Roman numerals are mainly I, V, X, L, C, D, Mused because of their historical importance.The following table shows the Roman numerals withtheir values in Hindu-Arabic numerals. Roman numerals (symbols) I V X L CDMHindu-Arabic numerals (values) 1 5 10 50 100 500 1000 Roman numerals Hindu-Arabic numerals I 1 II 2 III 3 IV 4 V 5 VI 6 VII 7 8 VIII 9 IX 10 XG5_Chapter_1_TB.indd 11 Large Numbers 11 12/9/2016 2:44:50 PM

We follow certain rules to read or write numerals in the Roman system.Rule Description Example1) A symbol can be repeated to a I I = 2 (1+1 = 2) maximum of three times. Repetition XX = 20 (10 + 10 = 20) of numbers means addition. CCC = 300 (100 + 100 + 100 = 300)2) Only I, X, C and M can be repeated. XV = 15 (10 + 5 = 15)3) If a symbol is placed after the symbol LXXX = 80 (50 + 10 + 10 + 10 = 80) of a greater value, the values are MCC = 1200 (1000 + 100 + 100 = 1200) added.4) If a symbol is placed before the IV = 4 (5 – 1 = 4) symbol of a greater value, the lesser IX = 9 (10 – 1 = 9) value is subtracted from the greater. XC = 90 (100 – 10 = 90)5) I can be subtracted from V and X IV = 4, IX = 9 only, X can be subtracted from L and XL = 40, XC = 90 C only, C can be subtracted from D CD = 400, CM = 900 and M only.Example 8: Write the Hindu-Arabic numerals for the given Roman numerals: a) CLXIX b) LXXVII c) DCLSolution: a) CLXIX = 100 + 50 + 10 + (10 – 1) = 169 b) LXXVII = 50 + 10 + 10 + 5 + 1 + 1 = 77 c) DCL = 500 + 100 + 50 = 650Example 9: Write the Roman numerals for the given numbers: a) 160 b) 2950 c) 14Solution: a) 160 = 100 + 50 +10 = CLX b) 2950 = 1000 + 1000 + (1000 – 100) + 50 = MMCML c) 14 = 10 + (5 – 1)= XIV 12 12/9/2016 2:44:50 PMG5_Chapter_1_TB.indd 12

Example 10: Write the Roman numerals from 50 to 100 counting by 10’s.Solution: Counting by 10’s, we get 50, 60, 70, 80, 90 and 100. Roman numerals for these numbers are: L, LX, LXX, LXXX, XC and C respective Train my brainWrite the Roman numerals for the given numbers:a) 172 b) 2785 c) 17 3.2 I ApplyWe will solve some real life examples where we apply the knowledge of Romannumerals.Example 11: Read the time in the following clocks and write the time using Hindu - Arabic numbers: a) b) Solution: a) The short (hour) hand is between ‘IX’ and ‘X’. Hindu-Arabic numeral for IX and X is 9 and 10 respectively. The long (minute) hand is on ‘XI’ which shows 55 minutes. Hence, the time is 9:55. b) The short (hour) hand is between ‘IX’ and ‘X’. The Hindu-Arabic for IX and X is 9 and 10 respectively. The long (minute) hand is on ‘I’ which shows 5 minutes. Hence, the time is 9:05. Large Numbers 13G5_Chapter_1_TB.indd 13 12/9/2016 2:44:50 PM

Example 12: Rohan scores MCLVII marks in the first semester and MDX marks in the second semester. Express the total marks of Rohan in Hindu-Arabic numeral.Solution: Rohan’s score in first semester = MCLVII Score in second semester = MDX Hindu-Arabic numeral for the total marks MCLVII = 1000 + 100 + 50 + 5 + 1 + 1 = 1157 MDX = 1000 + 500 + 10 = 1510 MCLVII + MDX= 1157 + 1510 = 2667 He scored total 2667 marks.Example 13: List out some real-life-situations in which Roman numerals are used.Solution: Some real-life-situations where Roman numerals are used are: a) On wall clocks b) Representation of classroom numbers, for example, class IV-A, class V-B and so on c) Section numbers in exam question papers d) Chapter numbers in novels and so on e) After people’s name, for example - John II and so on (used in Western countries very often).3.2 I Explore (H.O.T.S.)Read the following examples based on large Roman numerals:Example 14: What is the Hindu-Arabic numeral for MDCLXVI?Solution: MDCLXVI = 1000 + 500 + 100 + 50 + 10 + 5 + 1 = 1666Example 15: Which is larger of MDCLXXIV and MDCCLXXIX?Solution: MDCLXXIV = 1000 + 500 + 100 + 50 + 10 + 10 + (5 - 1) = 1674 MDCCLXXIX = 1000 + 500 + 100 + 100 + 50 + 10 + 10 + (10 – 1) = 1779 1779 > 1674. Thus, MDCCLXXIX is larger.14G5_Chapter_1_TB.indd 14 12/9/2016 2:44:51 PM

Maths munchiesThe numbers greater than 1,000 are formed by placing a dash over thesymbol, meaning “times 1,000”, but these are not commonly used: 5,000 10,000 50,000 100,000 500,000 1,000,000 213 VX L C D M Connect the Dots Social Fun China is the world’s most populous country. It has a population of over 1.35 billion. The population of our country in 2016 is 1.34 billion. Science Fun The speed of light in a vacuum is 299792458 metres per second. A Note to ParentWrite some large numbers on the board or a piece of paper and make yourchild practice addition and subtraction using them.G5_Chapter_1_TB.indd 15 Large Numbers 15 12/9/2016 2:44:51 PM

Drill time Concept 3.1: Count by Lakhs, Ten Lakhs and Crores (Indian and International)1) Write the successor and predecessor of the following numbers. a) 62591 b) 59104 c) 18503 d) 70001 e) 285012) Separate the periods with commas and write the number names of the following in both Indian and International systems of numeration. a) 872492853 b) 658392759 c) 124654368 d) 765401954 e) 3789547263) Compare and put the correct symbol >, < or = in the blank. a) 4,34,12,456 ______ 4,34,21,456 b) 2,31,98,896 ______ 6,87,98,541 c) 7,97,43,111 ______ 6,12,41,845 d) 1,67,91,941 ______ 1,76,19,1494) Arrange the numbers in ascending and descending order. a) 85714781, 57294769, 18372657 b) 17485729, 91845726, 75638462 c) 38593010, 75639205, 75927592 d) 10101010, 11010101, 10010101Concept 3.2: Roman Numerals5) Write the Roman numerals for the following numbers: a) 983 b) 804 c) 1481 d) 294 e) 10006) Write the Hindu-Arabic numerals for the following numbers: a) CLXX b) LXVII c) DL d) MCML e) LXIX7) Word problems: a) The population of city A is 6,76,83,832 and that of city B is 8,43,26,594. Which city has more population? b) In a car race, Neha scores LXVI points and Raju scores XXV points. Who wins the race? 16 12/9/2016 2:44:51 PMG5_Chapter_1_TB.indd 16

GRADE 5 Maths WB(with answer keys) 2017- 2018

Chapter 3ChapLtaerrg1: eLarNgeuNmumbbeerrssConcept 3.1 Count by Lakhs, Ten Lakhs and Crores (Indian and International)3.1 I RecallMultiple Choice Questions [A]1) The number name for 55,582 in the Indian system is: [A](A) Fifty five thousand five hundred and eighty two [B](B) Fifty four thousand five hundred and eighty two(C) Fifty five thousand five hundred and fifty two(D) Fifty five thousand five hundred and eighty three2) The successor of 90000 is:(A) 90001 (B) 90002 (C) 89999 (D) 899983) The number in the hundreds place of 14568 is:(A) 8 (B) 5 (C) 1 (D) 63.1 I Remember and UnderstandMultiple Choice Questions [B]4) 1 lakh = ________________ (D) 10 hundreds(A) 10 hundreds (B) 100 thousands (C) 10 ones [D] (D) 9999995) The greatest 6-digit number is:(A) 99999 (B) 100000 (C) 9999999 Large Numbers 1Maths Grade 5 Students Copy.indd 1 11/16/2016 8:15:03 PM

6) The predecessor of 700000 is: [C](A) 700002 (B) 699998 (C) 699999 (D) 700001Fill in the Blanks7) The numeral for one lakh twenty five thousand one hundred and twenty three is 125123.8) The number name of 25,30,223 is twenty five lakh thirty thousand two hundred and twenty three.9) In the International system of numeration, all the periods have three places each.Very Short Answer Questions10) How many lakhs equal 1 million?Solution: 1 million = 10 lakhs11) Write the numeral for one crore six lakh forty thousand six hundred and fifty one.Solution: 1,06,40,65112) Write predecessor and successor of 720001.Solution: Predecessor = 720001 – 1 = 720000, Successor = 720001 + 1 = 720002Short Answer Questions13) In 3908623, put commas to separate the periods and write the number names in the Indian and International systems of numeration.Solution:Indian System Commas Name 39,08,623International Thirty nine lakhs eight thousand System 3,908,623 six hundred and twenty three Three million nine hundred and eight thousand six hundred and twenty three 2 11/16/2016 8:15:03 PMMaths Grade 5 Students Copy.indd 2

14) In 4105625, put commas to separate the periods and write the number names in the Indian and International systems of numeration.Solution: Number Indian System International System 4105625 41,05,625 4,105,625 Number name - Forty Number name - Four one lakhs five thou- million one hundred and sand six hundred and five thousand six hun- twenty five dred and twenty fiveLong Answer Questions15) Write the following numbers in the place value chart according to the Indian system of numeration:a) 1369001 b) 367215 c) 4718203 d) 561357 e) 234101Solution: Ten Lakhs Ten Thousands Hundreds Tens Ones a) Lakhs Thousands 9 0 01 13 6b) 3 6 7 2 1 5c) 4 7 1 8 2 03d) 5 6 1 3 5 7e) 2 3 4 1 0 1Maths Grade 5 Students Copy.indd 3 Large Numbers 3 11/16/2016 8:15:03 PM

16) Write the following numbers in the place value chart according to the International system of numeration:a) 4369241 b) 947217 c) 6718301 d) 821359 e) 1235101Solution: Million Hundred Ten Thousands Hundreds Tens Ones Thousands Thousandsa) 4 3 6 9 2 41b) 9 4 7 2 1 7c) 6 7 1 8 3 01d) 8 2 1 3 5 9e) 1 2 3 5 1 013.1 I ApplyShort Answer Questions17) Compare 92395678 and 5487324.Solution: Let us write the given numbers in the place value chart as shown: C TL L T Th Th H TO 92 3 9 5 6 78 54 8 7 3 2 4The number of digits in 92395678 is greater than the number of digits in 5487324.So, 92395678 > 5487324 4 11/16/2016 8:15:04 PMMaths Grade 5 Students Copy.indd 4

18) Compare 3786456 and 301327.Solution: Let us write the given numbers in the place value chart as shown: TL L T Th Th H TO 37 8 6 4 5 6 3 01 3 27 The number of digits in 3786456 is greater than the number of digits in 301327. So, 3786456 > 301327Long Answer Questions19) Arrange the given numbers in ascending and descending orders: 98348597,24327817, 97124127, 13187524Solution: Write the numbers in a place value chart as shown: C TL L T Th Th H TO 98 3 4 8 5 97 24 3 2 7 8 17 97 1 2 4 1 27 13 1 8 7 5 24In crores place, 9 > 2 > 1, in ten lakhs place, 8 > 7 > 4 > 3Thus, the ascending order of the given numbers is 13187524 < 24327817 < 97124127< 9834859720) The names of some countries and their populations are given below. Use this in formation to answer the questions that follow: France: 65447374; Iceland: 317900; Iran: 75078000; Italy: 60340328 a) What is the population of France? Write the number in words. b) What is the population of Italy? Write the number in words. Large Numbers 5Maths Grade 5 Students Copy.indd 5 11/16/2016 8:15:04 PM

c) Which of the countries, Iceland or Iran, has more population?Solution: a) The population of France is six crores fifty four lakhs forty seven thousand three hundred and seventy four. b) The population of Italy is six crores three lakhs forty thousand three hundred and twenty eight. c) As 75078000 > 317900, Iran’s population is more.3.1 I Explore (H.O.T.S.)Short Answer Question21) Find the place value and face value of the underlined digits of the given numbers. a) 9800234 b) 4123059Solution: a) Face value = 9; Place value = 90, 00, 000 b) Face value = 1; Place value = 1, 00, 000Long Answer Question22) What is the difference between the place value and face value of the digit 6 in the number 16700925?Solution: The place value of 6 in 16700925 is 60,00,000. The face value of 6 is 6. Their difference is 60,00,000 – 6 = 59,99,994. Concept 3.2 Roman Numerals 3.2 I RecallMultiple Choice Questions1) The number name for 55,05,820 in the Indian system of numeration is: [ D ] (A) Fifty five thousand five hundred and eighty two6Maths Grade 5 Students Copy.indd 6 11/16/2016 8:15:04 PM

(B) Five lakhs five thousand five hundred and eighty two(C) Five lakhs fifty thousand eight hundred and twenty(D) Fifty five lakhs five thousand eight hundred and twenty2) The numeral for one lakh twenty five thousand and one twenty [A] [D]three is:(A) 1,25,123 (B) 12,512 (C) 10,25,123 (D) 1,25,1323) The numeral for ten lakh thirty three thousand and one twentyfour is:(A) 10,33,142 (B) 10,124 (C) 1,33,124 (D) 10,33,1243.2 I Remember and UnderstandMultiple Choice Questions4) The Hindu-Arabic numeral for D is: [A] [C](A) 500 (B) 400 (C) 1000 (D) 100 [C] (D) 1005) The Hindu-Arabic numeral for M is: (D) IIII(A) 500 (B) 400 (C) 10006) The Roman numeral for 4 is:(A) V (B) VI (C) IVFill in the Blanks7) The Roman numeral for 9 is IX.8) The Hindu-Arabic numeral for XXI is 21.9) The Roman numeral for 5 is V.Very Short Answer Questions10) Which Roman numerals are never repeated?Solution: V, L and D11) Which Roman numerals can be repeated?Solution: I, X, C and M Large Numbers 7Maths Grade 5 Students Copy.indd 7 11/16/2016 8:15:04 PM

12) What is the Roman numeral for 20?Solution: XXShort Answer Questions13) Write the Hindu-Arabic for CLXVI.Solution: CLXVI = 100 + 50 + 10 + (5 + 1) = 166So, the Hindu-Arabic for CLXVI is 166.14) Write the Roman numeral for 172.Solution: 172 = 100 + 50 + 20 + 2 = CLXXIILong Answer Questions15) Write the Hindu-Arabic for following:a) DCL b) CLXI c) MDLXVISolution: a) DCL = 500 + 100 + 50 = 650 b) CLXI = 100 + 50 + 10 + 1 = 161 = 1566 c) MDLXVI = 1000 + 500 + 50 + 10 + (5 + 1)16) Write the Roman numeral for the following:a) 181 b) 555 c) 1578Solution: a) 181 = 100 + 50 + 30 + 1 = CLXXXIb) 555 = 500 + 50 + 5 = DLVc) 1578 = 1000 + 500 + 50 + 20 + 5 + 3 = MDLXXVIII 8 11/16/2016 8:15:04 PMMaths Grade 5 Students Copy.indd 8

3.2 I ApplyShort Answer Questions17) In a car race, Seema scores LXXVI points and Raj scores XXXV points. Who wins the race?Solution: Points scored by Seema = LXXVI = 50 + 10 + 10 + 5 + 1 = 76 Points scored by Raj = XXXV = 10 + 10 + 10 + 5 = 35 As 76 > 35, Seema wins the race.18) Read the time in the clock shown below and write the time using Hindu-Arabic numbers.Solution: The short (hour) hand is on ‘XII’. Hindu-Arabic numeral for XII is 12. The long (minute) hand is on ‘II’ which shows 10 minutes. Hence, the time is 12:10.Long Answer Question19) Arrange the given Roman numerals in ascending order. CCCXX, MDV, MLXV, CCLXIXSolution: CCCXX = 100 + 100 + 100 + 10 + 10 = 320 MDV = 1000 + 500 + 5 =1505 MLXV = 1000 + 50 + 10 + 5 = 1065 CCLXIX = 100 + 100 + 50 + 10 +(10 – 1) = 269 269 < 320 < 1065 < 1505 Thus, the required ascending order is CCLXIX; CCCXX; MLXV; MDV. Large Numbers 9Maths Grade 5 Students Copy.indd 9 11/16/2016 8:15:04 PM

20) Rahul scores MCL marks in the first semester and MDXX marks in the second semester. Express Rahul’s total marks in Hindu-Arabic numerals.Solution: Rahul’s score in the first semester = MCL Score in the second semester = MDXX MCL = 1000 + 100 + 50 = 1150 MDXX = 1000 + 500 + 10 + 10 = 1520 MCL + MDXX= 1150 + 1520 = 2670 So, Rahul scored a total 2670 marks. 3.2 I Explore (H.O.T.S.)Short Answer Question21) Add MCXV and DCVII.Solution: MCXV = 1000 + 100 + 10 + 5 = 1115 DCVII = 500 + 100 + 5 + 1 + 1 = 607 1115 + 607 = 1722Long Answer Question22) Which is larger: MDCLXV or MDCCLXIX?Solution: MDCLXV = 1000 + 500 + 100 + 50 + 10 + 5 = 1665 MDCCLXIX = 1000 + 500 + 100 + 100 + 50 + 10 + (10 – 1) = 1769 1769 > 1665. Thus, MDCCLXIX is larger. 10 11/16/2016 8:15:05 PMMaths Grade 5 Students Copy.indd 10

What is IMAX program for primary? NEW & IMPROVED EDITIONIMAX Primary Curriculum is a CCE based end-to-end solution based in line with internationallyrecommended Multiple Learning Pathways (MLP) pedagogical principles. The CCE approach of Remembering-Understanding-Application-HOTS has been integrated in the textbook, theworkbook, the assessments and the customized student performance feedback. This will helpchildren develop a sound foundation for their all round personality development and prepare them better for secondary school. This approach is consistent with the National Curriculum Framework (NCF, 2005).Salient 5 Workbook content to reinforce understanding of concepts for every student through a  variety of exercises& activities Features 6 All text written in age-appropriate language while ensuring that the student’s overall1 Curriculum that is based on internationally language abilities are enriched recommended Multiple Learning Pathways (MLP) pedagogical principles 7 Teacher Handbooks to enrich the teaching- learning experience through plans2 Lessons that are organised as per Learning 8 Support on Formative and Summative Objectives (Bloom's Taxonomy of Remember, Assessments Understand, Apply and HOTS in Maths & EVS and LSRW Skills in Languages) 9 Detailed Feedback Sheets on academic performance and Personalised Remedial3 CCE and Activity based learning as per National Worksheets to act upon this feedback Curriculum Framework4 Multiple colours and illustrations to engage 10 Teacher Orientations to ensure smooth students implementation at the school FOUNDATIONMAX & CONCEPTMAX AXIM s ucc [email protected] SAMPLEwww.imaxprogram.com Mathematics Textbook & Workbook040-40164013