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.
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:
(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:
(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 number − Even number = Even number
(iii) Odd number − Even number = Odd number
(iv) Even number − Odd number = Odd number