Maths Binder 19.12.16

Based on Bloom’s Taxonomy IMAX uccess sFOUNDATIONMAX & CONCEPTMAX SAMPLE Mathematics Textbook & Workbook NEW & IMPROVED EDITION



GRADE 1 TB2017-2018

Chapter 3 Numbers I will Learn Numbers 1 Concepts 12/15/2016 3:59:50 PM 3.1: Count by Ones and Tens 3.2: Compare 2-digit NumbersChapter_1_TB.indd 1

Concept 3.1: Count by Ones and Tens I Think Khushi has five sticks. She counted them one by one. Her father gave her more sticks to count. Do you think it is easy for her to count them one by one? Is there an easier way? To know that, we must learn to count by ones and tens. 3.1 I RecallWe have learnt to count objects and write their numbers.Counting by 1s: 1, 2, 3, 4, 5, 6, 7, 8 and 9The numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are also called 1-digit numbers or singledigit numbers.The number one more than 9 is called ten. We write ten as 10. 3.1 I Remember and UnderstandCounting many things is easy if we group them into bundles of ten.Suppose we are given some matchsticks to count.First, we count 10 sticks and make a bundle. So, one bundle has ten sticks.Similarly, we can make bundles from the remaining sticks. 2 12/15/2016 3:59:52 PMChapter_1_TB.indd 2

Let us count a bundle with 34 sticks and write their numbers. 1 1 tens 2 tens 3 tens 4 ones (written as 30) (written as 10) (written as 20)From the 34 sticks, we made 3 bundles of 10 sticks each. So, four sticks areleft. We count these remaining sticks in ones. 34So, 4 remaining sticks = 4 onesThe total number of sticks we have counted , Tens digit Ones digitcan be written as 3 tens and 4 ones. It is thesame as 30 and 4. So, there are 34 sticks in Places Tens (T) Ones (O)all.Observe that 34 has two digits, 3 and 4. Each Values 3 4digit is given a name based on its place wherewe write tens as (T) and Ones as (O).We can write the number 34 in a chart asshown.This chart is called the place value chart as it shows the T e n s Onesplaces and their values. Spike SpikeAbacus counting ↓↓We can show 2-digit numbers using abacus.Let us show the same number 34 using a spike abacus. 1 = 1 unit in ones spike (ones place) So, we can show the numbers on ones spike as:1 = 1 red bead 4 = 4 red beads 7 = 7 red beads TO2 = 2 red beads 5 = 5 red beads 8 = 8 red beads Represents 93 = 3 red beads 6 = 6 red beads 9 = 9 red beadsChapter_1_TB.indd 3 Numbers 3 12/15/2016 3:59:52 PM

A spike of abacus can have 9 red beads to show 9 in the ones place. Eachspike of abacus can have only 9 beads.If we can have only 9 red beads in ones spike, how can we show number 10on abacus?To show the number 10, we remove the red beads from the ones spike andput 1 green bead in the tens spike (tens place).1 = 1 u nit in tens spike, 10 = 1 green bead. 20 = 2 green 60 = 6 green beads beads 30 = 3 green 70 = 7 green beads beads 40 = 4 green 80 = 8 green beads beads 50 = 5 green 90 = 9 green TO TO beads beadsRepresents 9 Represents 10The number 34 will be 3 green beads in the tens spike and 4 red beads in theones spike. Now, show the numbers 46 and 99 on abacus. TO TO TO Represents 34 Represents 46 Represents 99 4 12/15/2016 3:59:53 PMChapter_1_TB.indd 4

Number namesWe know the number names of 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.Numbers with different digits in the tens place have different number names.Number of tens 1 2 3 45 6 7 89 Number 10 20 30 40 50 60 70 80 90Number name Ten Twenty Thirty Forty Fifty Sixty Seventy Eighty NinetyAs we have understood the place value, have a look at the example.Example 1: Write the places for each of the given numbers and show them on a spike abacus. a) 13 b) 29 c) 64Chapter_1_TB.indd 5 Numbers 5 12/15/2016 3:59:55 PM

Solution: Number T O a) 13 1 3 b) 29 2 9 c) 64 6 4 TO TO TO a) 13 b) 29 c) 64Using the place values of the digits in a number, we can write its numbername. Let us see some examples in the following table. Number Number of tens and ones Number name 26 2 tens and 6 ones (2 tens = twenty) Twenty six 35 3 tens and 5 ones (3 tens = thirty) Thirty five 48 4 tens and 8 ones (4 tens = forty) Forty eight 53 5 tens and 3 ones (5 tens = fifty) Fifty threeExample 2: Write the number names for: a) 32 b) 61 c) 17Solution: The number names are: Number names of 11 to 19 11 – Eleven, 12 – Twelve, a) 32 = Thirty two 13 – Thirteen, 14 – Fourteen, 15 – Fifteen, 16 – Sixteen b) 61 = Sixty one 17 – Seventeen, 18 – Eighteen 19 – Nineteen. c) 17 = Seventeen 6 12/15/2016 3:59:55 PMChapter_1_TB.indd 6

Train my brainWrite the number names for the following:a) 1 tens and 4 ones = _______________________b) 4 tens and 5 ones = _______________________c) 7 tens and 8 ones = _______________________3.1 I ApplyWe have understood the concept of place values. We can form a number ifsome digits are given by using the concept of place values. Let us read thefollowing examples.Example 3: Form a number with 1 in the tens place and 4 in the ones place.Solution: Let us write the given numbers in the place value T O chart according to their places. 1 4 So, the required number is 14.Example 4: Form numbers using the following: a) 3 in the tens place; 7 in the ones place b) 6 in the tens place; 0 in the ones placeSolution: To form numbers, write the given digits in their places in the place value chart. a) T O b) T O 37 6 0 Hence, the numbers are 37 and 60.Chapter_1_TB.indd 7 Numbers 7 12/15/2016 3:59:55 PM

Example 5: There are 21 students in Group A, 76 students in Group B, 20 students in Group C and 48 students in Group D. a) How many students are there in Group B? Write its number name. b) How many students are there in Group D? Write its number name.Solution: a) There are 76 students in Group B. The number name of 76 is seventy six. b) There are 48 students in Group D. The number name of 48 is forty eight.3.1 I Explore (H.O.T.S.)Here, we will solve few examples on 2-digit numbers.Example 6: Write the numbers shown in abacuses. a) b) c) TO TO TOSolution: Count the number of beads in Tens Ones Number each place. Write it in the place 3 2 32 value chart. Put a 0 in the places a) 3 0 30 where there are no beads. b) 2 3 23 c)Example 7: Draw beads on abacus to show the given numbers. a) 78 b) 25 c) 34Solution: Write the digits in the place value chart. Tens Ones a) 7 8 b) 2 5 c) 3 4 8 12/15/2016 3:59:55 PMChapter_1_TB.indd 8

a) b) c) TO TO TO Maths munchies T O NumberIf a 2-digit number has zero in its ones place, 3 0 30 213and we change the place of its digits then itbecomes a 1-digit number. 0 3 03For example, take the number 30. Now, ifwe change the places of its digits then thenumber will become 03 which means 3. Concept 3.2: Compare 2-digit Numbers I ThinkKhushi has 5 marbles and her brother has 4 marbles.Both of them want to have more than each other. Is this possible?To answer this question, we must know how to compare numbers.Chapter_1_TB.indd 9 Numbers 9 12/15/2016 3:59:56 PM

3.2 I RecallObserve the given picture. It shows cars of different colours. before between afterWe observe that the red car isbefore the blue car and the green car is after the blue car. We can also saythat the blue car is in between the red car and the green car.The words before, after and between give the positions of a car with respectto the other cars.In this way, we can identify which number is before a given number andwhich is after it.Look at the numbers.1 2 3 4 5 6 7 8 9 1011 12 13 14 15 16 17 18 19 20We can see that 4 is before 5 and 5 is after 4.Similarly, 13 is before 14, 15 is after 14 and 14 is in between 13 and 15. 3.2 I Remember and UnderstandComparing 2-digit numbers is similar to comparing 1-digit numbers. We canorder the numbers after comparing them. Let us learn how.1) Before and after numbersWe know that one more than a number is the after number and one less thana number is the before number.Read the following examples:1) 11 comes before 12; 12 comes after 11.2) 9 comes before 10 and after 8. It lies between 8 and 10.3) 15 comes before 16 and after 14. It lies between 14 and 16. 10 12/15/2016 3:59:57 PMChapter_1_TB.indd 10

Example 8: Write the before numbers of: a) 96 b) 31 c) 49 d) 55 e) 60Solution: The before number is the number that comes before the given number. So, the before numbers of the given numbers are: a) 95 b) 30 c) 48 d) 54 e) 59Example 9: Write the after numbers of: a) 82 b) 38 c) 57 d) 40 e) 26Solution: The after number is the number that comes after the given numbers. So, the after numbers of the given numbers are: a) 83 b) 39 c) 58 d) 41 e) 272) Compare and order 2-digit numbersWe use the concept of more and less to find the greater and lesser numbers.Observe the following picture. The crocodile’s mouth is open where there are more fish. It means that, 4 is more than 1 or 4 is greater than 1. The symbol for greater than is >. We write it as 4 > 1 and read it as 4 is greater than 1.Now, observe this picture. The crocodile’s mouth is open where there are more fish. So, it is closed on the side where there are less fish. 1 is less than 4. The symbol for lesser than is <. We write it as 1< 4 and read it as 1 is lesser than 4.Chapter_1_TB.indd 11 Numbers 11 12/15/2016 3:59:57 PM

When both the numbers are the same, we say that both of them are equal toeach other.The symbol for equal to is =. We write it as 5 = 5 and read it as 5 is equal to 5.Let us try using the symbols (<, >, =) with examples.Example 10: Fill in the blanks with the correct symbols (<, > or = ). a) 23 is greater than 21 = 23 ______ 21 b) 99 is greater than 98 = 99 ______ 98 c) 54 is less than 74 = 54 ______ 74 d) 13 is equal to 13 = 13 ______ 13 e) 4 is less than 7 = 4 ______ 7Solution: a) > b) > c) < d) = e) < Train my brainWrite the number that comes before and after the given numbers:a) ____, 32, ____ b) _____, 40, ____ c) ____, 25, ____3.2 I ApplyIn some real-life-situations, we may have to compare numbers. In such cases,we apply the concept of greater than and less than.Let us see the steps to compare two numbers.Step 1: Count the number of digits in each of the given numbers. The number with fewer digits is smaller. For example, 6 is smaller than 26.Step 2: If two numbers have the same number of digits, first compare the tens digits. The number with the larger number in the tens place is larger. 12 12/15/2016 3:59:57 PMChapter_1_TB.indd 12

Step 3: If the two numbers have the same number of digits, and the same digit in the tens place, then compare the ones digits. The number with the larger number in ones place is larger.Let us understand this through a few examples.Example 11: Which is larger, 56 or 65?Solution: To compare the given numbers, let us follow the steps given.Step 1: Count the number of digits in the given numbers. Here, both the numbers, 56 and 65, have the same number of digits.Step 2: If the two numbers have the same number of digits, compare the tens digits 5 6, 6 5. The number with the larger number in the tens place is larger. Comparing the tens digits, 6 > 5. So, 65 > 56.Example 12: Which is smaller? a) 69, 78 b) 15, 16Solution: a) 69 and 78 have the same number of digits. So, compare the digits in their tens place 6 9, 7 8 where 6 < 7. Therefore, 69 < 78. b) 15 and 16 have the same number of digits. So, compare the digits in their tens place. But, 1 = 1. So, compare the digits in their ones place 1 5, 1 6 . Here, 5 < 6. Therefore, 15 < 16.Chapter_1_TB.indd 13 Numbers 13 12/15/2016 3:59:57 PM

We can apply the concept of greater than and lesser than to compare morethan two numbers too. Here is an example.The order in which the given numbers are arranged from the smallest to thelargest is called their ascending order.Example 13: Arrange the numbers 26, 29 and 25 in the ascending order (from the smallest to the largest).Solution: The given numbers are 26, 29 and 25. All the three of them have 2 in their tens place 2 6, 2 9, 2 5 . So, let us compare the digits in their ones place. 9 is the largest, 6 is larger than 5 and 5 is the smallest 2 6, 2 9, 2 5. Therefore, 25 < 26 < 29. Hence, the ascending order of the numbers is 25, 26, 29. While comparing numbers, we can also write them in an order from the largest to the smallest.The order in which the given numbers are arranged from the largest to thesmallest is called their descending order.Example 14: Arrange the numbers 34, 38 and 30 in the descending order (from the largest to the smallest).Solution: The given numbers are 34, 38 and 30. All the numbers have 3 in their tens place 3 4, 3 8, 3 0 . So, let us compare the digits in their ones place. 8 is the largest, 4 is larger than 0 and 0 is the smallest 3 4, 3 8, 3 0. Therefore, 38 > 34 > 30. Hence, the descending order of the numbers is 38, 34, 30. 14 12/15/2016 3:59:57 PMChapter_1_TB.indd 14

3.2 I Explore (H.O.T.S.)Example 15: Answer the following looking at the coloured shapes. a) What is before and after the square ? b) Which shape comes between and ?Solution: a) is before the square and is after the square . b) The shape that comes between and is .Example 16: Some children standing in a row are given in the picture. Suma Ravi Rahul Venu Rita KirtiSolution: Observe the picture and answer the questions that follow. a) Which two boys are standing just after Suma? b) Between which two children is Venu? c) Who is standing at the right end? d) Who is standing just before Rahul and Venu? a) Ravi and Rahul are standing just after Suma. b) Venu is standing between Rahul and Rita. c) Kirti is standing at the right end. d) Ravi is standing before Rahul and Venu.Chapter_1_TB.indd 15 Numbers 15 12/15/2016 3:59:58 PM

Maths munchies 213To find the after number, count 1 forward of the given numberand count backwards to find the before number.For example: To find the number after 5, count 1 forward i.e. 6To find the number before 5, count 1 backwards i.e. 4. Connect the Dots English fun Arrange the letters, D, F, C, J, A, E, G, I, H, B, in ascending order and give the position of each letter starting from A. Science fun Count the number of teeth you have. How many are they? An adult has 3 tens and 2 ones. i.e. 32 teeth in his/her mouth. Write the number of teeth you have in ones and tens. A Note to ParentsAsk your children to find the eldest and youngest member of the family bycomparing their ages. Make a tree with the oldest member on the top and theyoungest member at the bottom. 16 12/15/2016 3:59:59 PMChapter_1_TB.indd 16

Drill timeConcept 3.1: Count by Ones and Tens1) Write the numbers in the place value chart. a) 51 b) 90 c) 16 d) 72 e) 392) Write the number names of: a) 49 b) 31 c) 94 d) 10 e) 323) Form the numbers for: a) 4 in the tens place and 1 in the ones place b) 9 in the tens place and 2 in the ones place c) 7 in the tens place and 3 in the ones place d) 8 in the tens place and 6 in the ones place e) 3 in the tens place and 8 in the ones placeConcept 3.2: Compare 2-digit Numbers4) FiIl in the blanks with before, after and between numbers. a) _____ 45 b) 98 _____ c) 19 ______ 21 d) 87 _____ e) ______325) Write the symbols >, < or = in the following. a) 34 ____ 30 b) 20 ____ 12 c) 17 ____ 60 d) 84 ____ 84 e) 56 ____ 906) Identify the greater and the smaller numbers. a) 39, 19 b) 87, 12 c) 65, 10 d) 45, 41 e) 76, 707) Arrange the numbers in ascending and descending orders. a) 87, 98, 80 b) 19, 17, 30 c) 40, 50, 19 d) 28, 19, 85 e) 34, 10, 99Chapter_1_TB.indd 17 Numbers 17 12/15/2016 3:59:59 PM

GRADE 1Maths WB2017-2018

Chapter 3 Numbers Concept 3.1 Count by Ones and Tens3.1 I RecallMultiple Choice Questions [B]1) The number name for 8 is: [A] [C](A) one (B) eight (C) nine (D) ten [C]2) The number name for 7 is: [D] [B](A) seven (B) ten (C) four (D) six3) The numeral for one is:(A) 2 (B) 3 (C) 1 (D) 9 43.1 I Remember and UnderstandMultiple Choice Questions4) The number name for 40 is:(A) ninety (B) ten (C) forty (D) sixty5) The numeral for eighty is:(A) 30 (B) 20 (C) 60 (D) 806) The place value of 2 in 25 is:(A) 50 (B) 2 tens (C) 2 ones (D) 5Maths Grade 1 Students Copy.indd 1 Numbers 1 11/16/2016 9:02:34 PM

Fill in the Blanks7) The ones digit in 43 is 3.8) The tens digit in 19 is 1.9) The number name of 50 is fifty.Very Short Answer Questions10) What is the number name for 37?Solution: Thirty seven11) How many places does 2-digit numbers have?Solution: 2 places12) What is the number name for 69?Solution: The number name for 69 is sixty nine.Short Answer Questions13) Write the number names for the given numbers:a) 36b) 49Solution: The number names are: a) 36 = Thirty Six b) 49 = Forty Nine14) Write the correct place values of the digits in the number 35.Solution: T O35 = 3 Tens + 5 Ones = 3 5 2 11/16/2016 9:02:34 PMMaths Grade 1 Students Copy.indd 2

3.1 I ApplyVery Short Answer Question15) Which number will be formed if 1 is in the tens place and 7 is in the ones?Solution: 1 in the tens place and 7 in the ones place gives: Tens Ones 17Short Answer Questions16) Write the correct tens and ones for the given numbers.a) 25 b) 79Solution: Tens Ones a) 2 5 b) 7 917) There are 61 students in Team A and 23 students in Team B. a) What is the number name for the number of students in Team A? b) What is the number name for the number students in Team B?Solution: a) There are 61 students in Team A. So, the number name for 61 is sixty one. b) There are 23 students in Team B. So, the number name for 23 is twenty three. Numbers 3Maths Grade 1 Students Copy.indd 3 11/16/2016 9:02:34 PM

3.1 I Explore (H.O.T.S.)Short Answer Question b) 2818) Draw beads on the abacus to show the given numbers: a) 75Solution: a) 75 b) 28 Concept 3.2 Compare 2-digit Numbers 3.2 I RecallMultiple Choice QuestionsThese children in the picture are standing in a line. 4 11/16/2016 9:02:35 PMMaths Grade 1 Students Copy.indd 4

Look at the picture above:1) Who is standing after Nisha? [C] [A](A) Raj (B) Ritu (C) Rahul (D) Ram [A] (D) Yash2) Who is standing before Jay? (D) Ritu(A) Riya (B) Swara (C) Soni3) Who is standing inbetween Soni and Ritu?(A) Ram (B) Yash (C) Swara3.2 I Remember and UnderstandMultiple Choice Questions4) The number before 76 is: [B] [C](A) 80 (B) 75 (C) 77 (D) 70 [D] (D) 155) Which of the following number is the greatest? (D) 82 Numbers(A) 10 (B) 12 (C) 176) The number in between 81 and 83 is:(A) 85 (B) 84 (C) 80Fill in the Blanks7) 4, 5, 6, 7, 8, 9, 108) 21, 22, 23, 24, 259) 35, 36, 37, 38, 39, 40Very Short Answer Questions10) How can we write 6 > 3 in words?Solution: 6 is greater than 3.11) Which number is after 67?Solution: 68 5Maths Grade 1 Students Copy.indd 5 11/16/2016 9:02:35 PM

12) Which number is before 90?Solution: 89Short Answer Questions13) What is the correct symbol (<, > or =) for the sentences given below? a) 15 is greater than 9 b) 4 is smaller than 28Solution: a) 15 > 9 b) 4 < 2814) Write the before and after numbers of the following numbers: a) 20 b) 59Solution: a) The number before 20 is 19 and the number after 20 is 21. b) The number before 59 is 58 and the number after 59 is 60. 3.2 I ApplyVery Short Answer Question15) Circle the smaller number between 27 and 19.Solution: 27, 19Short Answer Questions16) Arrange the numbers 21, 20, 23 in ascending order.Solution: To arrange the numbers in ascending order: a) Step 1: Compare the digits in the tens place which is 2.6Maths Grade 1 Students Copy.indd 6 11/16/2016 9:02:35 PM

b) Step 2: Compare the digits in the ones place. Here, 3 is the largest, 1 is larger than 0 and 0 is the smallest So, 20 < 21 < 23.17) Arrange the numbers 31, 30, 33 in descending order.Solution: To arrange the numbers in descending orders: a) Step 1: Compare the digits in the tens place which is 3. b) Step 2: Compare the digits in the ones place. Here, 3 is the largest, 1 is larger than 0 and 0 is the smallest. So, 30 < 31 < 33.3.2 I Explore (H.O.T.S.)Short Answer Question18) Circle the shape: a) Before the square b) After the circleSolution: a) Before the square b) After the circleMaths Grade 1 Students Copy.indd 7 Numbers 7 11/16/2016 9:02:35 PM

GMRatAhDs ETB22017-2018

Chapter 3 Numbers I Will Learn Numbers 1 Concepts 12/9/2016 8:59:50 PM 3.1: Count by Hundreds 3.2: Ordinal Numbers 3.3: Compare 3-digit NumbersL01_V2_PPS_Maths_G2_TB.indd 1

Concept 3.1: Count By Hundreds I Think I ThinkKhushi went to a toy store. She saw a toy for ` 990. She could not readthe number. Can you help Khushi?To know this, we need to know count by hundreds.3.1 I RecallWe know that the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 are 1-digit numbers.Numbers from 10 to 99 are 2-digit numbers where 10 is the smallest 2-digitnumber and 99 is the largest 2-digit number.We can count the numbers by ones and tens.Counting by 1s: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9Counting by 10s: 10, 20, 30, 40, 50, 60, 70, 80, 90Let us now learn about numbers greater than 99.3.1 I Remember and UnderstandSuppose shows 1. Ten such boxes show a 10. = 10 onesSo, = 1 tenSimilarly, 10 such strips show 10 tens or 1 hundred. 2 12/9/2016 8:59:52 PML01_V2_PPS_Maths_G2_TB.indd 2

= 10 tens = 1 hundred = 1 hundred = 2 hundreds = 3 hundreds = 4 hundredsSimilarly, we get 5 hundreds = 500, 6 hundreds = 600, 7 hundreds = 700,8 hundreds = 800 and 9 hundreds = 900L01_V2_PPS_Maths_G2_TB.indd 3 Numbers 3 12/9/2016 8:59:52 PM

Let us understand this concept using a spike abacus.We have learnt how to show number 99 on abacus. As, 1 = 1 unit in the ones spike and 1 = 1 unit in the tens spike, we can have 1 = 1 unit in the hundreds spike. H TO Represent 99To show the number 100, we remove the green beads from the tens placeand red beads from the ones place. We put 1 blue bead in the third spike(hundreds place). H TO H TO Represent 99 Represent 100100 = 1 blue bead 400 = 4 blue beads 700 = 7 blue beads200 = 2 blue beads 500 = 5 blue beads 800 = 8 blue beads300 = 3 blue beads 600 = 6 blue beads 900 = 9 blue beadsThus, 999 will be 9 blue beads in hundreds spike, 9 green beads in the tens spikeand 9 red beads in the ones spike. 4 12/9/2016 8:59:53 PML01_V2_PPS_Maths_G2_TB.indd 4

H TO The smallest 3-digit Represent 999 number = 100 The largest 3-digit number = 999The abacus shows three places – hundreds, tens and ones.To understand the place value, look at the place value chart given below. Places Hundreds (H) Tens (T) Ones (O) Values 100 10 1So, the number 999 on the place value chart will be represented as: Places H T O Values 9 9 9Can you show the number 426 in the place value chart? Places H T O Values1) Expanded form of a 3-digit number:Consider the number 425. We write 425 in the place value chart as shownbelow. 4 25 Place values 5 ones = 5 2 tens = 20 4 hundreds = 400L01_V2_PPS_Maths_G2_TB.indd 5 Numbers 5 12/9/2016 8:59:53 PM

The form in which a number is expressed as a sum of the place values of itsdigits is called its expanded form.So, the expanded form of 425 is 400 + 20 + 5.We can call 425 as the standard form of the number. Let us look at a fewexamples to understand the concept better.Example 1: Write the standard form of the following numbers: a) 9 Hundreds + 4 Tens + 6 Ones b) 4 Hundreds + 2 Tens + 3 Ones c) 3 Hundreds + 0 Tens + 8 OnesSolution: To write the standard forms of the given numbers, let us write them in the place value chart, as shown below: HTO a) 9 4 6 b) 4 2 3 c) 3 0 8 Therefore, the standard forms of the numbers are: a) 946 b) 423 c) 308Example 2: Write the following numbers in their expanded forms: a) 526 b) 653 c) 281 d) 987Solution: To write the given numbers in their expanded forms, let us write them in the place value chart as shown below. Number H T O a) 526 526 b) 653 653 c) 281 281 d) 987 987 6 12/9/2016 8:59:53 PML01_V2_PPS_Maths_G2_TB.indd 6

Therefore, the expanded forms are: a) 526 = 500 + 20 + 6 b) 653 = 600 + 50 + 3 c) 281 = 200 + 80 + 1 d) 987 = 900 + 80 + 72) Writing number names of 3-digit numbersUsing expanded form and place value chart, we can write the numbernames of the given numbers. Let us see an example.Example 3: Write the following numbers in their expanded forms. a) 403 b) 721 c) 589Solution: a) 403 = 4 hundreds + 0 tens + 3 ones = 400 + 0 + 3 400 + 0 + 3 Four hundred and three b) 721 = 7 hundreds + 2 tens + 1 ones = 700 + 20 + 1 700 + 20 + 1 Seven hundred and twenty one c) 589 = 5 hundreds + 8 tens + 9 ones 500 + 8 + 9 Five hundred and eighty nine Train my brain Say the number names for: a) 358 b) 409 c) 991L01_V2_PPS_Maths_G2_TB.indd 7 Numbers 7 12/9/2016 8:59:53 PM

3.1 I ApplyLet us see a few examples where we use 3-digit numbers in real life situations.Example 4: Vinod has some amount with him: 1 note of ` 100, 1 note of ` 20 and 1 coin of ` 1. How many rupees does he have in all?Solution: 1 note of ` 100 = ` 100 1 note of ` 20 = ` 20 1 coin of ` 1 = ` 1 So, ` 100 + ` 20 + ` 1 = ` 121 So, Vinod has ` 121 (One hundred and twenty one rupees).Example 5: There are 249 students in Class A, 336 students in Class B, 387 students in Class C and 161 students in Class D. a) What is the number of students in Class A? Write its number name. b) What is the number of students in Class D? Write its number name.Solution: a) There are 249 students in Class A. The number name of 249 is two hundred and forty nine. b) There are 161 students in Class D. The number name of 161 is one hundred and sixty nine.We can use place value chart to form numbers. Here are few examples.Example 6: If 9 is in the hundreds place, 2 in the tens place and 1 in the ones place, form the number.Solution: To form the number, write the given H T O digits in the place value chart 9 2 1 according to their places. So, the required number is 921. 8 12/9/2016 8:59:54 PML01_V2_PPS_Maths_G2_TB.indd 8

3.1 I Explore (H.O.T.S.)We will now learn to show numbers on a spike abacus through some examples.Example 7: Show the following numbers on the abacus: a) 434 b) 623 c) 476Solution: For 434, we draw 4 blue beads for 4 hundreds 3 green beads for 3 tens and 4 red beads for 4 ones, as shown. a) b) c) H TO H TO H TO 434 623 476 Similarly, we draw beads for the other numbers too.Example 8: If you add 4 tens and 3 tens and show the answer on an abacus, which spikes will be empty?Solution: Adding 4 tens and 3 tens, we get 40 + 30 =70 = 7 tens. H T O So, put 7 green beads on the abacus. Clearly, the hundreds and the ones spike on the abacus will be empty.L01_V2_PPS_Maths_G2_TB.indd 9 Numbers 9 12/9/2016 8:59:54 PM

Maths munchies 213Let us take a 3-digit number where the digit in the tens or the ones place is zero. If weshift that zero to the hundreds place, thenumber will become a 2-digit number.For example, consider 702 and 720.Now, if we shift the zero to the hundreds place,702 will become 072 or 72 and 720 will become 72. Concept 3.2: Ordinal Numbers I Think Khushi was confused when her teacher said, “All those sitting on the first, third and fifth benches, please stand up!” She did not understand the words first, third and fifth. Have you ever heard of these words? Do you want to know them? To know these words, let us learn about ordinal numbers. 3.2 I RecallObserve the given picture. It shows cars of different colours. 12/9/2016 8:59:56 PM 10L01_V2_PPS_Maths_G2_TB.indd 10

We observe that the red car is before the green car and the green car is afterthe red car. We can also say that the red car is between the blue car and thegreen car.The words before, after and between give the positions of a car with respectto the other cars. Let us learn what these positions are called.3.2 I Remember and UnderstandObserve the scoops of ice cream on the cone in the picture. They are placedone above the other.7 Seventh scoop 7th6 Sixth scoop 6th5 Fifth scoop 5th4 Fourth scoop 4th The numbers3 Third scoop 3rd which tell about2 Second scoop 2nd the position are1 First scoop 1st called ordinal numbers.The first scoop is placed on the cone. So, counting from the first scoop, thereare seven scoops.These are counted as first, second, third, fourth, fifth, sixth and seventh.If we place one more scoop on the seventh, it is named as the eighth scoop.Similarly, another scoop on the eighth is named as the ninth.Another scoop on the ninth is named as the tenth.L01_V2_PPS_Maths_G2_TB.indd 11 Numbers 11 12/9/2016 8:59:56 PM

Train my brainThis is the list of top five students in the class. Write theirpositions as ordinal numbers.a) Megha – Rank 2 – _______________________b) Razia – Rank 3 – _______________________c) Harsh – Rank 1 – _______________________3.2 I ApplyOrdinal numbers are used to denote the position of things. Usually, theposition is counted from the left to the right or from the bottom to the top.For example,• To tell the winning positions in sports such as a running race, swimming and so on.• To tell the periods in our time table.Example 9: Look at Ram’s class time table and answer the questions given below.First period Second Third period Fourth period Fifth periodSwimming period Play Time English Colouring Math 12 12/9/2016 8:59:57 PML01_V2_PPS_Maths_G2_TB.indd 12

a) When is the Math period? b) Which is the fourth period? c) In which period can the students enjoy colouring?Solution: a) Math is the second period. b) English is the fourth period. c) Students can enjoy colouring in the fifth period.Example 10: Look at the bags arranged in the rack and answer the questions below. a) Raj’s bag is blue in colour. On which rack is his bag? b) Shyam’s bag is on the fourth rack. What is the colour of Shyam’s bag? c) Reena’s bag is on the topmost shelf. What is the ordinal number?Solution: a) Raj’s bag is on the second rack. b) Shyam’s bag is yellow in colour. c) Reena’s bag is on the sixth shelf. 3.3 I Explore (H.O.T.S.)Consider the following example:Example 11: Consider your city name is Mumbai. a) How many letters are there in it? What are they? b) What is the first letter of the name? c) What is the last letter? d) Is any letter being repeated in the name of your city? Which letter is it? e) In which places is the repeated letter/letters?L01_V2_PPS_Maths_G2_TB.indd 13 Numbers 13 12/9/2016 8:59:57 PM

Solution: a) There are 6 letters in it. They are M, U, M, B, A and I. b) The first letter is M. c) The last letter is I. d) Yes. The letter that is repeated is M. e) The repeated letter is in the first and third place.Example 12: Write the ordinal numbers of the following numbers: a) 11 b) 12 c) 13 d) 14 e) 15Solution: The ordinal numbers are – a) 11 – Eleventh b) 12 – Twelfth c) 13 – Thirteenth d) 14 – Fourteenth e) 15 - Fifteenth Maths munchies 213 When to use cardinal numbers? When to use ordinal numbers?Cardinal numbers tell ‘how many’ of something, they show quantity.Ordinal numbers tell the order of how things are set, they show theposition or the rank of something. Concept 3.3: Compare 3-digit Numbers I ThinkKhushi has 504 colour pencils and her brother has 582 colour pencils.Who has more number of colour pencils?To answer this, we must learn how to compare 3-digit numbers. 14 12/9/2016 8:59:57 PML01_V2_PPS_Maths_G2_TB.indd 14

3.3 I RecallWe can compare two or more 2-digit numbers by following the rules below:1) A 2-digit number is always greater than a 1-digit number. A 3-digit number is always greater than a 2-digit number or a 1-digit number. So, a number with more number of digits is greater.2) We use the symbols >, < or = to compare two numbers.3) If two numbers have the same number of digits, first compare the left most digits (having the highest place value). If they are the same, compare the digits to their right. If they are also the same, compare the next digit on its right, till we compare the ones digit. The number with a greater digit in any of these places is greater.3.3 I Remember and UnderstandComparing two 3-digit numbers is similar to comparing two 2-digit numbers.Use the steps to compare two 3-digit numbers.Example 13: Compare 469 and 468.Solution: Steps Solved Solve this 469 and 468 367 and 245Step 1: Compare the number of digits Both 469 andCount the number of digits in the given numbers. 468 have 3The number with more digits is greater. digitsStep 2: Compare the hundreds 4=4If the numbers have the same number ofdigits, compare the hundreds digits of the twonumbers. The number with the greater digit inthe hundreds place is greater.L01_V2_PPS_Maths_G2_TB.indd 15 Numbers 15 12/9/2016 8:59:58 PM

Steps Solved Solve this 367 and 245 469 and 468Step 3: Compare the tens 6=6If the numbers have the same number of digits,compare the tens digits of the two numbers.The number with the greater digit in the tensplace is greater.Step 4: Compare the ones 9>8If the numbers have the same number of digits, So, 469 > 468compare the ones digits of the two numbers.The number with the greater digit in the onesplace is greater.Train my brainFind the greater number from each of the following pairs:a) 222 and 212 b) 555 and 545 c) 444 and 4433.3 I ApplyComparing numbers and place value chart can help us in:1) arranging numbers in ascending and descending orders.2) forming the greatest and the smallest numbers from a given set of digits.1) Ascending and descending ordersExample 14: Write the numbers a) 777, 717, 771, 177 in the ascending order. b) 932, 384, 515, 869 in the descending orderSolution: a) To arrange the numbers in the ascending orders, follow the steps given below. 16 12/9/2016 8:59:58 PML01_V2_PPS_Maths_G2_TB.indd 16

Step 1: Compare the digits in the hundreds place of each number.Step 2: 7=7=7>1Step 3: A number starting with 1 in the hundreds place is the smallest.Step 4: So, 177 is the least. Now, let us consider the remaining numbers. Compare the digits in the tens place of the remaining numbers. 7=7>1 So, 717 < 777 and 771. Compare the digits in the ones place of the remaining numbers. 7>1 So, 771 < 777 Write the numbers in this ascending order. Ascending order: 177, 717, 771, 777b) To arrange the numbers in descending orders, follow the steps given below.Step1: Compare the digits in the hundreds place of each number. 9>8>5>3Step2: Write the numbers starting from the greatest number to the smallest. So, 932, 869, 515, 384 is the required descending order.Example 15: There were 879 students in Class A and 880 in Class B. Which class had more number of students?Solution: Number of students in Class A = 879 Number of students in Class B = 880 Comparing both the numbers using the place value chart, H TO H TO 8 79 8 80L01_V2_PPS_Maths_G2_TB.indd 17 Numbers 17 12/9/2016 8:59:58 PM

The hundreds place in both the 3-digit numbers is same. So, compare the tens place. As, 7 < 8, 879 < 880.2) Forming the greatest and the smallest 3-digit numbers:Let us now learn the steps to form the greatest and the smallest 3-digit numbers.Look at the following examples.Example 16: Form the greatest numbers using the given digits, without repeating any of the digits. a) 1, 5, 1 b) 6, 1, 9 c) 3, 5, 7 d) 7, 9, 5Solution: We can form the greatest numbers by following the steps given below. H TOStep 1: Draw the place value chart. Step 2: Write the largest of the given digits in the H T OStep 3: hundreds place. 511Step 4: Place the next larger digit in the tens place. 961 Place the smallest digit in the ones place 753 9753.3 I Explore (H.O.T.S.)Look at the following examples.Example 17: Fill in the blanks using the proper symbols (<,> or =). 100 + 90 + 200 _________ 100 + 100 + 200Solution: 390 _______ 400. As 390 is less than 400, we must put the < symbol in the blank. So, 390 < 400. 18 12/9/2016 8:59:59 PML01_V2_PPS_Maths_G2_TB.indd 18

Example 18: I am a 3-digit number. If my digits are reversed, I become a 2– digit number. What is the digit in my ones place?Solution: The digit in the ones place should be 0. Because when a 3– digit number is reversed, we get a 2-digit number only when the ones digit of the 3-digit number is 0. Maths munchies 213If two different numbers have the same digits inall their places, then you have to pick only oneplace of both the numbers and compare.For example, 333 and 888Instead of comparing 333 with 888, take onlyone of its places and compare 3 with 8.The answer would be 3 < 8. Since all the other digits are same, wecan decide that 333 < 888. Connect the DotsScience fun There are 206 bones in an adult human body. Write the place value of each digit of the number.L01_V2_PPS_Maths_G2_TB.indd 19 Numbers 19 12/9/2016 9:00:00 PM

Social fun B A The height of hill ‘A’ is 567 meters and height of hill ‘B’ is 768 meters. Compare their heights. A Note to ParentAfter shopping, give your child the remaining notes of 100s and 10s andcoins of 5s, 2s and 1s. Ask her/him to count it and tell you the amount ofmoney you have. 20 12/9/2016 9:00:01 PML01_V2_PPS_Maths_G2_TB.indd 20

Drill timeConcept 3.1 Count by Hundreds1) Write the numbers in the place value chart.a) 346 b) 123 c) 987 d) 459 e) 7842) Write the expanded form of the following numbers:a) 298 b) 158 c) 490 d) 231 e) 8473) Write the number names of the following numbers:a) 124 b) 967 c) 281 d) 100 e) 2104) Form the numbers for:a) 3 in the hundreds place, 1 in the tens place and 0 in the ones placeb) 7 in the hundreds place, 2 in the tens place and 9 in the ones placec) 4 in the hundreds place, 3 in the tens place and 1 in the ones placed) 8 in the hundreds place, 0 in the tens place and 4 in the ones placee) 2 in the hundreds place, 5 in the tens place and 7 in the ones placeConcept 3.2 Ordinal Numbers5) Write the ordinal numbers and their short forms of the following:a) 9 b) 4 c) 8 d) 1 e) 4Concept 3.3 Compare 3-digit Numbers6) Compare the numbers given below:a) 234, 432 b) 234, 233 c) 222, 222 d) 243, 243e) 100, 9007) Arrange the numbers in ascending and descending orders:a) 333, 313, 331, 133 b) 879, 865, 890, 812 c) 980, 981, 982, 983d) 562, 589, 521, 514 e) 100, 300, 400, 7008) Form the greatest and the smallest 3-digit numbers.a) 4, 8, 1, 2 b) 9, 1, 0, 8 c) 1, 5, 2, 9 d) 6, 3, 8, 1e) 9, 8, 7, 6L01_V2_PPS_Maths_G2_TB.indd 21 Numbers 21 12/9/2016 9:00:01 PM