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PALINDROMIC NUMBER

Palindromic Number

Definition Of Palindromic Number

A number that will be the same when it is written forwards or backwards is known as a Palindromic Number.

More About Palindromic Number

Its representation reads the same from left to right as from right to left.
The first palindromic number is 0.
Some of the numbers are both a perfect square and palindrome. For example 121, 484, 676, etc.

Examples of Palindromic Number

101, 111, 1001, 1221, etc. are few examples of palindromic numbers.

Video Examples: Palindromic Numbers
 

Solved Example on Palindromic Number

Ques: I am a two-digit mystery number. I am a palindrome (reads the same in either directions). I am the sum of two single-digit numbers. What am I?

Choices:

A. 10
B. 99
C. 11
D. 44
Correct Answer: C

Solution:

Step 1: Since the two-digit mystery number is a palindrome, let it be zz. 
Step 2: Two-digit palindromes are 11, 22, 33, 44, 55, 66, 77, 88, and 99. 
Step 3: From the list of two-digit palindromes, the only number that could be the sum of two single-digit numbers is 11.
Step 4: So, the two-digit mystery number is 11.

Quick Summary

  • Palindromic numbers read the same forwards and backward.
  • The first palindromic number is 0.
  • Some palindromic numbers are also perfect squares (e.g., 121).
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🍎 Teacher Insights

Use visual aids and manipulatives to help students understand the concept of reversing digits. Start with smaller numbers and gradually increase the complexity.

🎓 Prerequisites

  • Understanding of place value
  • Ability to read numbers forwards and backwards

Check Your Knowledge

Q1: Which of the following is a palindromic number?

Q2: Is 22 a palindrome?

Q3: Which of these is not a palindromic number?

Frequently Asked Questions

Q: What is the smallest palindromic number?
A: The smallest palindromic number is 0.

Q: Are all single-digit numbers palindromes?
A: Yes, all single-digit numbers are palindromes because they read the same forwards and backward.

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