CBSE Class 5 Mathematics Question 28 of 36

We the Travellers 2 — Question 28

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28
Question
What do you notice about the sums in each of the following cases? Do you think it will be true for all pairs of such numbers? Explain your observations. You may use the paired arrangement to explain your thinking. (a) 12 and 6 are a pair of even numbers. Choose 5 such pairs of even numbers. Add the numbers in each of the pairs.
Answer

12 and 6 are both even numbers.
Here are 5 such pairs of even numbers and their sums.
6 + 8 = 14
4 + 8 = 12
2 + 10 = 12
4 + 12 = 16
10 + 8 = 18
(Answer may vary)
We observe that when we add two even numbers, the sum is always an even number.
Rule: Even number + even number – even number.
(b) 13 and 9 are a pair of odd numbers. Choose 5 such pairs of odd numbers. Add the numbers in each of the pairs.
Solution:
13 and 9 are both odd numbers.
Here are 5 such pairs of odd numbers and their sums.
19 + 9 = 28
11 + 7 = 18
5 + 15 = 20
13 + 7 = 20
5 + 19 = 24
(Answer may vary)
We observe that when we add two odd numbers, the sum is always an even number.
Rule: Odd number + odd number = even number
(c) 7 and 12 are a pair of odd and even numbers. Choose 5 such pairs of odd and even numbers. Add the numbers in each of the pairs.
Solution:
7 and 12 are pair of odd and even numbers. Here are 5 such pairs of odd and even numbers and their sum.
3 + 4 = 7
9 + 12 = 21
12 + 11 = 23
7 + 10 = 17
11 + 6 = 17
We observe that when we add an odd number and an even number, the sum is always an odd number.
Rule: Odd number + even number = odd number
or Even number + odd number = odd number.
NCERT Textbook Pages 54-55
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