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\ 19-Nov-2025 Bharat Arora Proof-9 Reader’s Sign _______________________ Date __________
21 st
Activity Century #Experiential Learning
Skills
Draw a paired dot arrangement for any even number and any odd number. Then, add
some dots to them, and write your observation. Repeat the process by adding different
numbers of dots.
example 3. Here are some arranged dots. Add 2 dots to each arrangement and check
whether the number of dots obtained is even or odd.
a. b. c. d. e.
Solution. a. b. c.
5 + 2 = 7 (odd) 6 + 2 = 8 (even) 7 + 2 = 9 (odd)
d. e. Tips
Even + Even = Even
Odd + Odd = Even
8 + 2 = 10 (even) 9 + 2 = 11 (odd) Even + Odd = Odd
PALindroMeS Odd + Even = Odd
Read the following words: DAD, MOM
Does each word change when read from right to left or vice versa? No, it does not.
Such words are palindrome words. Similarly, 121, 14341, 22, etc. are palindrome
numbers.
A number that reads the same forward and backwards is called a palindrome number.
To get a palindrome number, we simply need to follow these steps.
• Take any two-digit number.
• Reverse the number.
• Add both the numbers.
• Repeat the steps until you get the palindrome.
For example: Number taken → 34
Reverse the number → 43
Add them → 34 + 43 = 77 (palindrome)
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Mathematical Operations

