Numbers that can be arranged in twos completely are called even numbers.
Objects that cannot be completely arranged in twos are called odd numbers.

__UNIT
1__

__Numbers__

** **

__Odd and Even numbers__

__Travel Through__

**Pairs**

Some of the objects
that are available in pairs are given below.

**Keywords: **Pair, Odd, Even

__Learn__

**odd and even**

Let us consider two
objects having same properties. For example, a set of two anklets, a set of two
bangles.

Numbers
that can be arranged in twos completely are called even numbers.

Here, 6 birds make 3 sets of twos. So, 6 is
an even number.

Objects
that cannot be completely arranged in twos are called odd numbers.

Here
out of 5 birds, 2 sets of twos can be made. But 1 bird is left.

Hence 5 is an odd number.

__Practice__

Group the
objects in twos and find whether they are even or
odd. One is done for you.

Answer :

10 Even

7 Odd

8 Even

13 Odd

__Learn__

Let us
arrange the given seeds in twos according to the number and check whether they
are odd or even.

From
the above table, we can conclude that the numbers 1,3,5,7,9,11,13,15,17,19 and so on have one set of seed that cannot be arranged in twos and they are
called odd numbers.

The
numbers 2,4,6,8,10,12,14,16,18,20 have all the seeds arranged in twos and hence they are called even numbers.

Look at
the odd numbers given above. These numbers have any one of the numbers 1,3,5,7
and 9 in their one’s place.

Look at
the even numbers given above. These numbers have any one of the numbers 2,4,6,8
and 0 in their one’s place.

Besides,
we can observe that odd and even numbers
come alternatively.

__Game__

* This game is played by two players using
tamarind seeds. First the tamarind seeds are made into two equal groups. Let
player 1 take a handful of seeds from one of the groups and player 2 guess
whether the number of seeds in his hand is odd or even.

* Once player 2 gives the answer as odd or
even. Player 1 arranges the seeds that are in his hands in twos to check the
answer.

* If the guess made by the player 2 is right,
player 1 gives all the seeds in his hand to player 2 and the chance of playing
passes to player 2.

* If the guess made by the player 2 is wrong,
player 2 has to give equal number of seeds to player 1 and the next chance of
playing will be given to player 1.

* The game continues like this and the player
with more number of seeds wins the game.

__Practice__

**I. Circle / Underline the ****odd ****number and box / tick the ****even ****number.**

i) __71__, 64 ✔, __45__, 82 ✔

ii) __9__, __7__, __11__, 8✔

iii) 10✔, __17__, __27__, 16✔

iv) 94✔, __37__, 26✔,__69__

v) __25__, 52✔, __81__, 18✔

vi) 16✔, __21__, __33__, 30✔

vii) 88✔, 74✔, __11__, __53__

viii) __13__, 92✔, 74✔, 66✔

ix) 8✔, 18✔, __83__,
86✔

x) 96✔, __69__, 72✔, __27__

**II. Write the next five ****even ****numbers.**

i) 24, 26, __28, 30, 32, 34, 36__

ii) 40, 42, __44, 46, 48, 50, 52__

iii) 88, 90, __92, 94, 96, 98, 100__

iv) 8, 10, __12, 14, 16, 18, 20__

v) 66, 68, __70, 72, 74, 76,
78__

**III. Write the next five** odd **numbers.**

i) 7, 9, 11, __13, 15, 17, 19, 21__

ii) 21, 23, __25, 27, 29, 31, 33__

iii) 83, 85, __87, 89, 91, 93, 95__

iv) 49, 51, __53, 55, 57, 59, 61__

v) 71, 73, __75, 77, 79, 81,
83__

__ __

__Try This__

Ramya
wants to form all possible two-digit numbers using only the **odd** numbers. Help her to form two-digit numbers using
1,3,5,7,9.

__11,13,15,17,19,31,33,35,37,39,51,53,55,57,59,71,73,75,77,79,91,73,75,77,79__

There
are ** 25** number of

Kavitha
wants to form all possible two-digit numbers using only the **even** numbers. Help her to form two-digit numbers using
0,2,4,6,8.

__20,22,24,26,28,40,42,44,46,48,60,62,64,66,68,80,82,84,86,88__

There are ** 20** number of

__Pleasure Time__

**Number chart 1-99**

**Observe the number chart and answer the following
questions.**

**i) Write all the
odd numbers between 30 and 60.**

__31,
33, 35, 37, 39, 41, 43, 45, 47, 49, 51, 53, 55, 57, 59__

**ii) Write all the
even numbers between 70 and 99.**

__72,
74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98__

**iii) Write all the
odd numbers between 1 to 40.**

__3, 5,
7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, __

**iv) Starting from
10, colour the numbers by skip counting in tens. What can you say about these numbers.**

__10,
20, 30, 40, 50, 60, 70, 80, 90 Even number__

**v) Colour the odd
numbers in the chart with blue. Observe the uncoloured numbers. What can you
say about them.**

__Even
numbers__

__Try This__

Using
the given digits, form all possible two-digit odd numbers without repetition of
digits.

1) 3,6 __63__

2) 8,1 __8____1__

3) 5,2 __25__

4) 9,4 __49__

5) 0,7 __ no
answer__

6) 5,1 __15__

Among
the pair of digits given above, is there any pair of number with which you cannot
form two-digit odd number? Write such pair of digits. __Answer: 0,7__

Tags : Numbers | Term 3 Chapter 1 | 2nd Maths , 2nd Maths : Term 3 Unit 1 : Numbers

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2nd Maths : Term 3 Unit 1 : Numbers : Odd and Even numbers | Numbers | Term 3 Chapter 1 | 2nd Maths

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