Pretty Palindromic Patterns

What pattern do you see in these numbers: 66, 848, 575, 797, 1111?

These numbers read the same from left to right and from right to left.

Try and see. Such numbers are called palindromes or palindromic numbers.

• All palindromes using 1, 2, 3

The numbers 121, 313, 222 are some examples of palindromes using the digits , , .

Write all possible 3-digit palindromes using these digits?

All possible 3-digit palindromes using the digits 1,2,3 are: , , , , , , , , .

Now, look at these additions. Try to figure out what is happening.

Steps to follow:

1. Start with a 2-digit number.

2. Add this number to its reverse.

3. Stop if you get a palindrome or else repeat the steps of reversing the digits and adding.

Explore

Will reversing and adding numbers repeatedly, starting with a 2-digit number 47, always give a palindrome? Explore and find out?

1. Reverse the digits of the number becomes .

2. Add the original number and the reversed number 47 + 74 = .

3. Check if the result is a palindrome 121 is a palindromenot a palindrome.

4. If not a palindrome, repeat the process with the new number (e.g., for 121, reversing it gives 121, and 121 + 121 = , which is a palindrome).

I am a 5-digit palindrome.

I am an odd number.

My ‘t’ digit is double of my ‘u’ digit.

My ‘h’ digit is double of my ‘t’ digit.

Who am I?

Try to use 1,2,3,4 Numbers.

The required 5-digit odd palindromic number is .