Define palindromes and apply the reverse-and-add algorithm.
Definition of a palindrome.
Have you ever noticed words like RACECAR or MADAM? They read exactly the same whether you read them from left to right or right to left.
In mathematics, numbers that do exactly the same thing are called palindromes or palindromic numbers.
Steps to generate a palindrome.
Apply reverse and add to 48.
Apply the reverse-and-add algorithm to the number 48 to find a palindrome.
Complete the reverse-and-add sequence for 76.
Let's practice the reverse-and-add algorithm to find palindromes using the number 76.
First, we start with our 2-digit number 76 and add its reverse to it. Step 1: 76 + 67 = .
Since the result is not a palindrome, we repeat the steps of reversing the digits and adding. The reverse of our new number is .
Step 2: 143 + = .
We stop here because our result reads the same from left to right and from right to left, making it a palindrome.
Solve a 5-digit palindrome riddle.
Puzzle Time!
Use your logical reasoning to discover the mystery number:
Who am I?
Write the given 5th ( Ten thousandth ) digit
Since it is palindrome, what will be first ( unit ) digit
From given information, what will be 2nd ( Tenth ) digit
From given information, what will be the 3rd ( Hundredth ) digit
Since it is palindrome, what will be 4th ( Thousandth ) digit
Enter the 5-digit mystery number.