MATHEMATICS      TEXTBOOK – PART 1                        1    Name: ___________________________________  Section: ________________ Roll No.: _________  School: __________________________________
Preface    ClassKlap partners with schools, supporting them with learning materials and  processes that are all crafted to work together as an interconnected system to  drive learning. ClassKlap Program presents the latest version of this series –  updated and revised after considering the perceptive feedback and comments  shared by our experienced reviewers and users.    This series endeavours to be faithful to the spirit of the prescribed board  curriculum. Our books strive to ensure inclusiveness in terms of gender and diversity  in representation, catering to the heterogeneous Indian classroom. The books are  split into two parts to manage the bag weight.    The larger aim of the curriculum regarding Mathematics teaching is to develop the  abilities of a student to think and reason mathematically, pursue assumptions to  their logical conclusion and handle abstraction. The Mathematics textbooks and  workbooks offer the following features:       Structured as per Bloom’s taxonomy to help organise the learning process           according to the different levels involved       S tudent engagement through simple, age-appropriate language     Supported learning through visually appealing images, especially for grades           1 and 2       Increasing rigour in sub-questions for every question in order to scaffold           learning for students       Word problems based on real-life scenarios, which help students to relate           Mathematics to their everyday experiences       Mental Maths to inculcate level-appropriate mental calculation skills     S tepwise breakdown of solutions to provide an easier premise for learning of           problem-solving skills    Overall, the ClassKlap Mathematics textbooks, workbooks and teacher  companion books aim to enhance logical reasoning and critical thinking skills  that are at the heart of Mathematics teaching and learning.                                                                                                           – The Authors
Textbook Features              Let Us Learn About                               Think    Contains the list of learning objectives        Introduces the concept and  to be covered in the chapter                    arouses curiosity among students                                                         Recall                                              Discusses the prerequisite knowledge                                            for the concept from the previous                                            academic year/chapter/                                            concept/term    Remembering and Understanding    Explains the elements in detail that form the              Application  basis of the concept Ensures that students are  engaged in learning throughout                  Connects the concept to real-life                                                  situations by enabling students to                                                  apply what has been learnt                                                  through the practice questions    Higher Order Thinking Skills (H.O.T.S.)    Encourages students to extend the concept learnt  to advanced scenarios                                                                Drill Time                                                    Additional practice questions at the                                                  end of every chapter
Contents  1Class       1 Shapes    1.1 Understand Spatial Words�������������������������������������������������������������������������������� 1       2 Patterns    2.1 Patterns in Surrounding������������������������������������������������������������������������������������12       3 Numbers    3.1 Count in Ones and Tens ��������������������������������������������������������������������������������� 22  3.2 Compare 2-digit Numbers����������������������������������������������������������������������������� 31       4 Addition    4.1 A dd 1-digit and 2-digit Numbers ������������������������������������������������������������������� 38  4.2  Add Two 1-digit Numbers Mentally���������������������������������������������������������������� 46
Chapter    Shapes     1                      Let Us Learn About           •	 basic flat and solid figures.           •	 corners and sides of objects/                 figures.           •	 outlines of the bases of the                 objects.                         Concept 1.1: Understand Spatial Words             Think    Bantei has a glass, a book, a die and a birthday hat.  He drew the outlines of their bases. He has three shapes as shown.  Do you know what these shapes are called?                                                                        1
Recall    Look at the positions of the cat with respect to the ball in these pictures.                                 on under                        above  below                               far                       near    2
in front of  behind    inside       outside    Look at the picture given below. The mouse, the cat and the woollen ball are  in a line.    The mouse is before the cat.    The cat is between the mouse and the woollen ball.    The woollen ball is after the cat.                 Shapes   3
L et us recall the concept of position. Choose the correct word to fill the blanks.  One is done for you.    a)	 The jug is    on    the table. (on/in)  b)	 The ball is ___________________ the box. (outside/inside)  c)	 The butterfly is ____________________ the dog. (above/under)  d)	 The cat is ____________________ the table. (above/under)  e)	 The dog is ____________________ the table. (far away from/near)  f)	 The teddy bear is _____________________ the jug. (behind/in front of)      & Remembering and Understanding    Let us learn about shapes through an example.  Example 1:	Join the dots in order and name the shapes formed.                   a) b) c) d)         4
Solution: 	                 a) Triangle  b) Square  c) Rectangle     d) Circle    Figures such as triangle, square, rectangle and circle are called flat figures.  Let us learn more about flat figures. Study the following table.                 Flat figure             Features         Object                 Corner                • 3 sides                   Side              • 3 corners                  Corner               • 4 equal sides               Side                  • 4 corners                               Corner  • 4 sides                            Side                                     • 4 corners                                       • Opposite sides                                       are equal                                       • No sides                                     • No corners                                                          Shapes  5
Example 2:	 W rite the number of corners of the given figures. One is done for                   you.                     Figure   Number of corners                                    3    Application    Objects such as  (cube),        (cuboid),    (cone) and                 (sphere) are called solid objects. Their figures drawn using straight  or curved lines are called solid figures.  Observe the solid figure shown here.       Cube          Cuboid   Cone  Cylinder     Sphere    6
Example 3:	Some objects are given here. Draw and name the outlines of their                   bases.     Object    Outline   of the   base             Circle  Triangle  Rectangle              Circle  Square             Higher Order Thinking Skills (H.O.T.S.)    Let us try to identify the different solids through an example.  Example 4:	 Observe the given picture and answer the questions that follow.    	 a) How many cubes are there? Colour them blue.  	 b) How many cuboids are there? Colour them red.                                                      Shapes  7
c) How many cones are there? Colour them yellow.    	           d) Name the solid figure shown:  Colour them brown.    	           e) H ow many     are there in the given picture? Colour them  Solution:	     green.        c) 2	 	 d) Cylinder		 e) 2                a) 3	 	 b) 4	 	    	               Drill Time    Concept 1.1: Understand Spatial Words    1)	Where is the dragon with respect to the box in the given pictures?    	 a)                   	   	 	     b)         	          	 c)                   	 	     d)                                             8
e)  	   	 	    f)    2)	 Complete the following table.  Name of the solid figure                          Object                                       Shapes                    9
3)	Circle the words that tell the position of the cat with respect to          the ball. One is done for you.                h y pmy z d x i c              z c j y f l gmh i              k x eqbe l own              a b o v e wm s x f              f ebp t d j g s r              e h o y wp z l mo              m i nmew j f z n              on z pegqc k t              ed l unde r do              h t r h j ad t a f    4)	 Complete the following table.        Object  Shape of the base      Name of the figure formed    10
Object  Shape of the base  Name of the figure formed                               Shapes  11
Chapter    Patterns     2                      Let Us Learn About           •	 patterns in shapes.           •	 patterns in numbers.                            Concept 2.1: Patterns in Surrounding               Think      Bantei found paper cuttings of    different shapes and sizes. He    arranged the pieces in    different ways and made many    designs.    Do you know how to make a    design?               Recall    We see many things around us. They all have different sizes, shapes and  colours.        12
Recall the flat and solid shapes that we have already learnt.  Different shapes are given in this table. Write their names. One is done for you.    Figure  Name      Example            Triangle                      Patterns  13
Figure  Name  Example      & Remembering and Understanding    Observe the following pictures.  a)    b)    c)    d)    From the given pictures, we observe that:  a) same shapes of different sizes and colours are arranged alternately.  b) different shapes of different colours are arranged alternately.  c) and d) same shapes of the same size but of different colours are arranged  as a group.        14
In all these, we observe that the groups repeat many times.  Repetition of basic shapes is called a pattern.  Let us see a few examples of patterns.  Example 1:	 Observe the colours of the balloons and complete the pattern.    Solution:	  There are balloons of two colours: pink and purple. They are              arranged alternately. So, the pattern formed by these balloons is              shown below.    Example 2:	 Complete the following patterns. One is done for you.    a)          		 	 	 	 	                       	           		 	 	 	 	 	                             b)          		 	 	 	 	                           	           		 	 	 	 	 	 	 	                                             c)       	    d)       	                                                   Patterns                15
Try this!  Colour the given pictures according to the pattern.     a)     b)    c)        Application    Let us now see some more patterns.    Example 3:	 Tick the picture that comes next in these patterns. One is done for                   you.                     Pattern                             Next picture                                                            16
Pattern  Next picture    Example 4:	 Circle the figure that does not belong to each of the patterns                   given. One is done for you.    a)    b)    c)    d)             Patterns                                                           17
Patterns can also be seen in numbers as shown.          1 2 3 4 5 6 7 8 9 10         11 12 13 14 15 16 17 18 19 20    	 Higher Order Thinking Skills (H.O.T.S.)    We see patterns on roofs of buildings and monuments. We also see them on  floor tiles, saree borders, dresses, grills and so on.  Patterns on floor tiles    Patterns on roofs of monuments    Patterns on saree borders        18
Patterns on doors    Patterns on grills    Example 5:	 Complete the given patterns. One is done for you.    a)                           10 20 30 40 50 60 70    b) 2 4 6 8 _____ 12 ____  c)                            14 13 12 ____ 10 _____ 8                                                    Patterns       19
Drill Time  Concept 2.1: Patterns in Surrounding    1)	 Observe these patterns. Colour the pictures to complete them.    a)    b)    c)    d)                                                                                                                                                2)	 Observe and complete these patterns.    a)      _________   _________   _________    b)                                                        ________  _________  ________    c)                                                                 _______  _______  _______    d)                                                                       _______  _______  ______        20
3)	 Continue the pattern by colouring the correct boxes.  9 10          12345678    11 12 13 14 15 16 17 18 19 20    21 22 23 24 25 26 27 28 29 30                                                              Patterns  21
Chapter                                       Numbers         3                                                                     Let Us Learn About                                                      •	 the concept of zero.                                                      •	 the sequence of numbers                                                        up to 99.                                                      •	 place value and face value                                                        of numbers.                                                      •	 writing number names.                                                      •	 comparing, ordering and                                                        forming numbers.        Concept 3.1: Count in Ones and Tens             Think    Bantei has five sticks. He counted them one by  one.  His father gave him more sticks to count.  Is it easy to count them one by one? Is there an  easier way?               Recall    We have learnt to count objects and write their numbers.      22
Counting by 1s    The numbers 1, 2, 3, 4, 5, 6, 7, 8 and 9 are called 1-digit numbers. They are also  called single digit numbers.    Colour the picture given. Use the colours as given for the numbers.    1 (One)  2 (Two)    3 (Three)  4 (Four)  5 (Five)    6 (Six)  7 (Seven)  8 (Eight)            9 (Nine)                                   Numbers             23
& Remembering and Understanding    There are 5 ducks in a pond. They  flew away one by one. At last,  there are no ducks in the pond.  Let us learn to represent this using  a number.    Introducing ‘0’    1 duck flew away.                     2 ducks flew away.  4 ducks are in the pond.              3 ducks are in the pond.           3 ducks flew away.            4 ducks flew away.         2 ducks are in the pond.      1 duck is in the pond.           All ducks flew away.       So, there are ‘zero’ ducks in the         No ducks are in the pond.  pond.  24                                If there are no objects, we write                                    it as zero (0).
Example 1:	   Count the number of animals. Write the numbers in the boxes.               One is done for you.                         Animals                     Numbers                                                              4    Counting by 10s    Let us say   shows 1. Ten such boxes show a 10.    So, = 10 ones                                                                = 1 ten    Counting is easy if we group things into bundles of ten. We can make such  collections of 10 with different things.    	 1 ten of balls 		  1 ten of books			           1 ten of logs                                                     Numbers        25
Suppose we are given 34 logs of wood to count.  First, we count 10 logs and make a bundle. So, one bundle has ten wooden logs.  With 34 logs, we can make 3 bundles.    		 3 tens (written as 30)		                               4 ones    Thus, 4 logs of wood remain. We count these remaining logs in ones. The total  number of wooden logs can be written as 3 tens and 4 ones.    The number 34 has two digits. So, we use the      Place Value Chart  tens (T) and the ones (O) places for two digits.  Thus, we write the number 34 in a place value     Places Tens (T) Ones (O)  chart as shown.                                                    Values  3         4    Each digit has its place and place value in the place value chart.    Abacus counting    We can show 2-digit numbers using an abacus. Let us show the number 9 using  a spike abacus.    TO  TO TO            One shows the                We show a digit in the                       number 1.                    ones place with a blue                                                    bead. See Fig. (a).                       Nine in the ones                       spike show the               9 blue beads show 9 in                       number 9.                    the ones place. Each                                                    spike of an abacus can                       One shows the                have only 9 beads.                       number 10.  Fig. (a)		 Fig. (b)    See Fig. (b). To show the number 10, we remove all the blue beads. We then  put 1 green bead in the tens spike. The tens spike represents the tens place.    Let us show the number 34 using a spike abacus. We put 3 green beads in the  tens spike. We then put 4 blue beads in the ones spike. In the same way, we  can show the numbers 46 and 99 on the abacus.    So, 34 is 3 tens and 4 ones, 46 is 4 tens and 6 ones and 99 is 9 tens and 9 ones.    26
TO        TO                        TO                shows 34  shows 46                  shows 99    Number names    Let us now learn the number names from 10 to 99.    10 ― Ten                20 ― Twenty               30 ― Thirty  11 ― Eleven             21 ― Twenty-one           31 ― Thirty-one  12 ― Twelve             22 ― Twenty-two           32 ― Thirty-two  13 ― Thirteen           23 ― Twenty-three         33 ― Thirty-three  14 ― Fourteen           24 ― Twenty-four          34 ― Thirty-four  15 ― Fifteen            25 ― Twenty-five          35 ― Thirty-five  16 ― Sixteen            26 ― Twenty-six           36 ― Thirty-six  17 ― Seventeen          27 ― Twenty-seven         37 ― Thirty-seven  18 ― Eighteen           28 ― Twenty-eight         38 ― Thirty-eight  19 ― Nineteen           29 ― Twenty-nine          39 ― Thirty-nine    40 ― Forty              50 ― Fifty                60 ― Sixty  41 ― Forty-one          51 ― Fifty-one            61 ― Sixty-one  42 ― Forty-two          52 ― Fifty-two            62 ― Sixty-two  43 ― Forty-three        53 ― Fifty-three          63 ― Sixty-three  44 ― Forty-four         54 ― Fifty-four           64 ― Sixty-four  45 ― Forty-five         55 ― Fifty-five           65 ― Sixty-five  46 ― Forty-six          56 ― Fifty-six            66 ― Sixty-six  47 ― Forty-seven        57 ― Fifty-seven          67 ― Sixty-seven  48 ― Forty-eight        58 ― Fifty-eight          68 ― Sixty-eight  49 ― Forty-nine         59 ― Fifty-nine           69 ― Sixty-nine                                                      Numbers            27
70 ― Seventy                80 ― Eighty        90 ― Ninety  71 ― Seventy-one            81 ― Eighty-one    91 ― Ninety-one  72 ― Seventy-two            82 ― Eighty-two    92 ― Ninety-two  73 ― Seventy-three          83 ― Eighty-three  93 ― Ninety-three  74 ― Seventy-four           84 ― Eighty-four   94 ― Ninety-four  75 ― Seventy-five           85 ― Eighty-five   95 ― Ninety-five  76 ― Seventy-six            86 ― Eighty-six    96 ― Ninety-six  77 ― Seventy-seven          87 ― Eighty-seven  97 ― Ninety-seven  78 ― Seventy-eight          88 ― Eighty-eight  98 ― Ninety-eight  79 ― Seventy-nine           89 ― Eighty-nine   99 ― Ninety-nine    Let us see a few examples.    Example 2:	 Count the number of objects. Write the number and its number                       name.    Solution:	  The numbers and the number names of the objects are:                                Objects               Number                                                 and number                                                       name                                                                                                           32  a)                                                                                                      Thirty-two                                                                                                           17  b)                                                                                                     Seventeen                                                                                                           61  c)                                                                                                      Sixty-one    28
Example 3:	 W rite the places for each of the given numbers. Then, show them                       on a spike abacus.	 a) 13		 b) 29		 c) 64    Solution:	         Number T O              a) 13 1 3              b) 29 2 9              c) 64 6 4                                         TO TO TO                                         a) 13 	 b) 29 	 c) 64       Application    We can form a number when the place values of its digits are given. Let us see    a few examples.  Example 4:	 A number has 1 in the tens place and 4 in the ones place. What                         is the number?    Solution: 	 Write the given digits in the place value chart as T O              shown.                                                             14    	 So, the number is 14.    Example 5:	 Form using the following numbers.    	 a) 3 in the tens place; 7 in the ones place    	 b) 6 in the tens place; 0 in the ones place    Solution:	  To form the numbers, write the digits in the place value chart as              shown.    	           a) T    O 		       b) T            O                37                    60    	 So, the numbers are 37 and 60.                                                      Numbers  29
Example 6: 	 T here are four groups for a drama competition. Each group has                       a few students as shown.    Group A             Group B    Group C             Group D    	           a) C ount the number of students in Group B. Write its number                  name.  	              b) Count the number of students in Group C. Write its number  Solution:	      name.  	              a) There are 10 students in Group B. Its number name is ten.                b) T here are 19 students in Group C. Its number name is                  nineteen.        Higher Order Thinking Skills (H.O.T.S.)    Let us see a few examples of 2-digit numbers on an abacus.    Example 7:	 Write the numbers shown on the abacuses.    	 a)	           b)                           c)	                TO      TO                                      TO    30
Solution:	   C ount the number of beads     	        T O Number    Example 8:	  in each spike. Write it in the     a) 3            2       32  	  Solution:	   place value chart. Put a 0 in      b) 3            0       30  	               the places where there are no c) 2 3                       23                 beads.                 Draw beads on abacus to show the given numbers.                 a) 78	 	 	 b) 25		 	 c) 39                     a)       T  O                                                              b)       7  8               Write the digits in the place value chart.     c)       2  5                                                                       3  9               D raw as many green beads as the tens digit.               Draw as many blue beads as the ones digit.    	 a)                       b)                   c)                         TO        TO                           TO                 Concept 3.2: Compare 2-digit Numbers    Think    Bantei has 59 marbles and his sister has 95 marbles.  How will they know who has more marbles?                                                                Numbers     31
Recall    Observe the given picture. It shows cars of different colours.                           		    The red car is before       The blue car is                      The black car is       the blue car.     between the red and                      after the blue car.                               the black cars.    The words before, after and between give the positions of a car.    In the same way, we can identify the numbers before and after a number.    Look at these numbers. We see that 4 is before 5 and 5 is after 4.                   1 2 3 4 5 6 7 8 9 10 11                                                                                12                                     20 19 18 17 16 15 14 13    Fill in the blanks with before, between or after numbers.  a) _____ is before 14.         b) 15 is after _____.         c) 7 is between 6 and _____.      & Remembering and Understanding    Comparing 2-digit numbers is similar to comparing 1-digit numbers. We can  order the numbers after comparing them. Let us learn this concept.    32
Before and after numbers    Read the following:    a) 11 comes before 12; 12 comes after 11.    b) 9 comes before 10 and after 8. So, 9 lies between 8 and 10.    c) 1 5 comes before 16 and after 14. So, 15 lies between 14 and 16.    Example 9:	 Write the numbers that come before and after:    	 a) 96	 	 b) 31		 c) 49		 d) 55		 e) 60    Solution:	  The numbers before and after the given numbers are:                         Number    Before Number  After Number                           96             95            97                           31             30            32                           49             48            50                           55             54            56                           60             59            61    Compare numbers    We use the concept of more and less to find the greater and the lesser  numbers.    The symbols for greater than, less than and equal to are is >, < and =.    Observe the following picture.    The crocodile’s mouth is open               The crocodile’s mouth is closed  where there are more fish.                   where there are less fish.  4 is more than 1 or  4 is greater than 1.                        2 is less than 3.  We write it as 4 > 1.                                              2 is smaller than 3                                                We write it as 2 < 3.                                                  Numbers                    33
When both the numbers are the same, we say that both are equal to each  other. We write as 4 = 4.    Let us see a few examples of using the symbols <, > and =.    Example 10:	 Fill in the blanks with the correct symbols (<, > or = ).    	 a) 23  ______ 21    	 b) 99 ______ 98    	 c) 54 ______ 74    	 d) 13 ______ 13    	 e) 4 _______ 7    Solution:	  a) >	 	 b) >	 	  c) <	 	 d) =	 	 e) <        Application    Order 2-digit numbers    We can compare more than two numbers. For that, we have to arrange them  in order. There are two ways to do this:    Ascending order: Writing the numbers from the smallest to the largest    Descending order: Writing the numbers from the largest to the smallest    Example 11:	 Write the numbers 26, 29 and 25 in ascending order.    Solution:	  The given numbers are 26, 29 and 25.    	 All the three numbers have 2 in their tens place, 2 6, 2 9, 2 5.  	 So, let us compare the digits in their ones place, 2 6 , 2 9, 2 5.  	 As 5 < 6 < 9, 25 < 26 < 29.  	 So, the ascending order of the numbers is 25, 26, 29.  Example 12:	 Write the numbers 34, 38 and 30 in descending order.    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, 3 4 , 3 8 , 3 0.    34
As 8 > 4 > 0, 38 > 34 > 30.    	 So, the descending order of the numbers is 38, 34, 30.    Form 2-digit numbers    Let us learn to form the greatest and the smallest 2-digit numbers.    Example 13:	 F orm the greatest and the smallest 2-digit numbers using 2 and 4                       (without repeating the digits).    Solution:	  To form the greatest number:                             TO  	                                                                    42              W rite the bigger digit in the tens place and the              smaller digit in the ones place.    	 So, the greatest 2-digit number that can be formed is 42.    	 To form the smallest number:    	           W rite the smaller digit in the tens place and the       TO                bigger digit in the ones place.                           24    	 So, the smallest 2-digit number that can be                formed is 24.    Example 14:	 F orm the greatest and the smallest 2-digit numbers using 5 and 7                       (by repeating the digits).    Solution:	  To form the greatest number:                              TO  	                                                                     77  	           Find the larger digit. Here, it is 7.                Place the same digit in both the places in the              place value chart.    	 So, the greatest number is 77.    	 To form the smallest number:                                        TO  	 Find the smaller digit. Here, it is 5.                              55    	 Place the same digit in both the places in the place value chart.    	 So, the smallest number is 55.                                                                 Numbers  35
Higher Order Thinking Skills (H.O.T.S.)    Let us see another example.  Example 15:	 Some children are in a row as shown.                         Observe the picture and answer the questions that follow.    Suma        Ravi   Rahul             Salman            Rita  Amy    Solution:	  a) Which two boys are just after Suma?              b) Between which two children is Salman?              c) Who is at the right end?              d) Who is just before Rahul?              a) Ravi and Rahul are just after Suma.              b) Salman is between Rahul and Rita.              c) Amy is at the right end.              d) Ravi is just before Rahul.        Drill Time    Concept 3.1: Count in Ones and Tens    1) Write the numbers in the place value chart.    a) 51       b) 90  c) 16             d) 72      e) 39    2) Write the number names of the given numbers.    a) 49       b) 31  c) 94             d) 10      e) 32    36
3)	 Form numbers which have:  	 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 place    Concept 3.2: Compare 2-digit Numbers  4)	 FiIl in the blanks with before, after or between numbers.  	 a) _____, 45	 	 b) 98, _____	 	 c) 19, ______, 21  	 d) 87, _____	 	 e) ______, 32  5)	 Write the symbols >, < or = in the following.  	 a) 34 ____ 30	 	 b) 20 ____ 12	 	 c) 17 ____ 60  	 d) 84 ____ 84	 	 e) 56 ____ 90  6)	 Write the greater and the smaller numbers in each of these pairs.  	 a) 39, 19	 	 	 b) 87, 12	 	 	 c) 65, 10	 	  	 d) 45, 41	 	 	 e) 76, 70    7)	 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, 99  8)	Form the greatest and the smallest 2-digit numbers using the given digits.            Do not repeat the digits.  	 a) 3, 2	 	 	 b) 9, 8	 	 	 c) 1, 7  	 d) 4, 6	 	 	 e) 7, 9    Numbers  37
Chapter   Addition         4                      Let Us Learn About               •	 adding numbers up to 99                     without regrouping.               •	 adding two 1-digit numbers                     mentally.               •	 different methods of                     adding numbers.                   Concept 4.1: Add 1-digit and 2-digit Numbers             Think    Bantei can count and add the number of his toys. His father asks him to add  35 and 22. He does not have that many objects to count and add. How can  he add these numbers?    38
Recall    Let us recall counting of objects. Look at the vegetables given. Count and  write their numbers in the boxes.                Vegetables  Number    a)    b)  c)  d)  e)                            Addition  39
& Remembering and Understanding    A pencil stand has 3 pencils as shown in Fig. (a). Another  pencil stand has 4 pencils as shown in Fig. (b).    We count the pencils in the two stands continuously. The     Fig. (a) Fig. (b)  last number gives the total number of pencils. Counting the  number of objects together is called addition.    The answer in addition is called the sum.    The words add, total, together, in all, altogether and sum are some words used  in addition.    We use the symbol ‘+’ (read as plus) for addition.    Example 1:	 C ount and write the correct number of objects. One is done for                       you.    a)            1 89    b)        40
c)    Methods of addition:  1)	 Addition using fingers  2)	 Addition using the number line  3)	 Vertical or column addition  Let us understand these methods.  Addition using fingers  Observe these fingers. Each of them shows the number given.    Addition                                                     41
Let us learn to add two numbers using fingers.    Example 2:	 Add using fingers: a) 4 and 3	 	    b) 1 and 5	 	  c) 5 and 5    Solution:	  a) 4 + 3                          +=       	 Open 4 fingers on one hand. Open 3 fingers on the other.       	 B egin counting the fingers on one hand. Continue to count                          the fingers on the other hand. The number counted for the last                          finger is the sum or total.       	 So, 4 + 3 = 7.    	 b) 1 + 5                          +=       	 So, 1 + 5 = 6.  	 c) 5 + 5                          +=       	 So, 5 + 5 = 10.  Addition using the number line  A line marked with numbers is called the number line. We use it to add  numbers. Let us see an example.        42
Example 3:	  Add using the number line: a) 2 and 3 	 b) 4 and 4      c) 3 and 4  Solution:	               a) L et us find 2 + 3 using the number line. Draw an arrow from 0                   to 2.    	    	 T o add 3 to 2, we move 3 steps to the right of 2. Draw arrows for                       each step as shown.    	 The number at which the steps end is 5. So, 2 + 3 = 5.  	 b)	4 + 4    	 So, 4 + 4 = 8.  	 c)	3 + 4    	 So, 3 + 4 = 7.    Vertical or column addition    We can add numbers by writing them one below the other. This is called  vertical addition or column addition. Let us see a few examples.                      Addition                                              43
Addition of 1-digit numbers  Example 4:	 Add 6 and 2 by writing the numbers in columns.    Solution:	  Write the numbers under the ones place, as shown.  	                  O                6                +2                8    Addition of 2-digit numbers    Example 5:	 Add the following by writing the numbers in columns.  	 23 + 32	 	    Solution:	  Step 1: Add the ones	 	       Step 2: Add the tens                           TO                 TO                           23 23                           +32                +32                           5 	 	 	 	         5 5                                 Solve these                       TO               TO          TO                     41               14           78              +2 8             +3 3         +2 1               Application    We now know how to add numbers. Let us see some real-life examples of  addition of numbers.  Example 6:	 Madhu has 5 kites and Sita has 4 kites. How many kites do they                         have in all?        44
Solution:	   Write the numbers one below the other. Add them and write the  	            sum as shown.                       O                      5                  +4                      9    	 So, Madhu and Sita have 9 kites in all.    Example 7:	  Ram had 14 marbles. Shyam gave him 15 marbles. How many  Solution:	               marbles does Ram have altogether?                   TO                  Write the numbers one below the other. Add them       14               and write the sum as shown. So, Ram has 29 marbles               altogether.                                         + 15                                                                       29    Higher Order Thinking Skills (H.O.T.S.)    We have learnt how to add two 1-digit and 2-digit numbers. Let us now learn to  add three 1-digit and 2-digit numbers.    Example 8:	Sunita bought 2 mangoes, 3 apples and 4 bananas. How many                       fruits did she buy altogether?    Solution:	   Write the numbers under the ones place and add.                                                 O                                                 2                                          +3                                          +4                                                 9    	 So, Sunita bought 9 fruits.    Example 9:	There are 14 students in Row 1. Row 2 has 15 students. Row 3 has                       10 students. How many students are there altogether?                                                    Addition         45
Solution:	  Write the numbers one below the other.  	  	           Step 1: Add the ones	  	        Step 2: Add the tens                                     	  	           	         T O 		   	                  TO                                                    14                        14                     + 15                                               + 10                        + 15                        39                        + 10                          9                So, there are 39 students altogether.                Concept 4.2: Add Two 1-digit Numbers Mentally                Think    Bantei had 4 chocolates. His sister gave him 2 more. Bantei could tell the  total number of chocolates he has. But he did not use a paper and a pencil.  Can you try to find the total mentally?        Recall    To add numbers mentally, first we must know the correct order of numbers. Let  us practise the correct order of numbers.    Write the numbers in the blanks given.    a) 1 to 20                       1  ___ ___  ___ ___ ___  ___ ___ ___ ___                                                                     ___                                                                               ___                                 20 ___ ___ ___ ___ ___ ___ ___    46
                                
                                
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