Exploring Number Patterns: Odd and Even Numbers | 3rd Grade Maths Term 2 Chapter 2

Patterns in Odd and Even Numbers | 3rd Maths Term 2 Chapter 2

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

Chapter: 3rd Maths : Term 2 Unit 2 : Patterns

Patterns in numbers for odd and even numbers

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, 37, 42, 45.

(ii) 85, 84, 75, 76, 65, 64.

(iii) 11, 22, 33, 44, 55, 66.

(iv) 357, 896, 572, 951, 865, 423.

(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.

Number chart for identifying odd and even numbers

We observe that odd and even numbers occur alternatively.

Complete the patterns :

(i) 21, 22, 23, 24, 25, 26, 27, 28.

(ii) 1, 3, 5, 7, 9, 11, 13, 15.

(iii) 2, 4, 6, 8, 10, 12, 14, 16.

(iv) 85, 86, 87, 88, 89, 90, 91, 92, 93,.

(v) 39, 41, 43, 45, 47, 49, 51, 53,.

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

Add the following numbers:

Addition of numbers example
(i) 22 even + 32 even -------- 54 even --------
(ii) 73 odd + 85 odd -------- 158 even --------
(iii) 755 odd + 286 even -------- 1041 odd --------
(iv) 853 odd + 325 odd -------- 1178 even --------
(v) 978 even + 876 even -------- 1854 even --------
(vi) 252 even + 553 odd -------- 805 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:

Subtraction of numbers example
(i) 756 even − 252 even -------- 504 even --------
(ii) 895 odd − 253 odd -------- 642 even --------
(iii) 497 odd − 432 even -------- 065 odd --------
(iv) 576 even − 223 odd -------- 353 odd --------
(v) 235 odd + 521 odd -------- 756 even --------
(vi) 782 even + 141 odd -------- 923 odd --------

Let’s tabulate the patterns observed.

(i) Odd number − Odd number = Even number

(ii) Even numberEven number = Even number

(iii) Odd number − Even number = Odd number

(iv) Even number − Odd number = Odd number