Patterns in numbers for odd and even numbers and in adding odd and even numbers

__Patterns in numbers for
odd and even numbers and in adding odd and even numbers.__

** **

**Recall**

**Circle
the odd numbers in the given sequence.**

i) 26, ** 29**,

ii)
** 85**, 84,

iii) ** 11**, 22,

iv) ** 357**, 896, 572,

v) 952, 698, 342, 780, 920, 850.

**Complete
the table from the above numbers.**

__Odd number __

**29,37,45 **

**85,75,65 **

**11, 33, 55,**

**357, 951, 865,423 **

__Even number__

**26, 42**

**84, 76, 64,**

**22, 44, 66**

**896, 572,**

**952, 698, 342, 780,920,850**

**Observe
the number chart given below. Colour the odd numbers with green and even
numbers with blue.**

We observe that odd and even numbers
occur alternatively.

**Complete
the patterns :**

i) 21, 22, 23, ** 24**,

ii)
1, 3, 5, ** 7**,

iii) 2, 4, 6, ** 8**,

iv) 85, 86, 87, 88, ** 89**,

v) 39, 41, 43, ** 45**,

** **

**Let’s explore patterns while adding and subtracting odd and even
numbers.**

__Add the following
numbers:__

i) 2 2 even

+ 3 2 even

−−−−−−−−

** 5 4**** even**

−−−−−−−−

ii) 7 3 **odd**

+ 8 5 **odd**

−−−−−−−−

**158 even**

−−−−−−−−

iii) 7 5 5 **odd**

+ 2 8 6 **even**

−−−−−−−−

**1 0 4 1 odd**

−−−−−−−−

iv) 8 5 3 **odd**

+ 3 2 5 **odd**

−−−−−−−−

**1 1 7 8 even**

−−−−−−−−

v) 9 7 8 **even**

+ 8 7 6 **even**

−−−−−−−−

**1 8 5 4 even**

−−−−−−−−

vi) 2 5 2 **even**

+ 5 5 3 **odd**

−−−−−−−−

** 8 0 5 odd**

−−−−−−−−

Thus, we observe that addition of odd
and even numbers involve a pattern.

__Lets tabulate the
patterns observed.__

i) Odd
number + Odd number = Even number

ii) **Even number** + **Even
number** = Even number

iii) Odd
number + **Even number** = Odd number

iv) Even
number + **Odd number** = Odd number

** **

__Subtract
the following numbers:__

i) 7 5 6 **even**

− 2 5 2 **even**

−−−−−−−−

** 5 0 4 even**

−−−−−−−−

ii) 8 9 5 **odd**

− 2 5 3 **odd**

−−−−−−−−

** 6 4 2 even**

−−−−−−−−

iii) 4 9 7 **odd**

− 4 3 2 **even**

−−−−−−−−

** 0 6 5 odd**

−−−−−−−−

iv) 5 7 6 **even**

− 2 2 3**odd**

−−−−−−−−

** 3 5 3 odd**

−−−−−−−−

v) 2 3 5 **odd**

+ 5 2 1 **odd**

−−−−−−−−

** 7 5 6 even**

−−−−−−−−

vi) 7 8 2 **even**

+ 1 4 1 **odd**

−−−−−−−−

** 9 2 3 odd**

−−−−−−−−

__Let’s
tabulate the patterns observed.__

i) Odd
number − Odd number = Even number

ii) **Even number** − **Even
number** = Even number

iii) Odd
number − **Even number** = Odd number

iv) Even
number − **Odd number** = Odd number

Tags : Patterns | Term 2 Chapter 2 | 3rd Maths , 3rd Maths : Term 2 Unit 2 : Patterns

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3rd Maths : Term 2 Unit 2 : Patterns : Patterns in numbers for odd and even numbers | Patterns | Term 2 Chapter 2 | 3rd Maths

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