How many numbers from 100 to 300 are palindromic?

There are 20 palindromic numbers between 100 and 300.

Here's a breakdown, utilizing information from the provided reference:

A palindrome is a number that remains the same when its digits are reversed. To determine how many palindromic numbers exist between 100 and 300, we can look at each hundreds range:

• 100-199: Palindromic numbers in this range must start and end with the digit 1. The middle digit can be any digit from 0 to 9. This gives us the following palindromes:
  • 101
  • 111
  • 121
  • 131
  • 141
  • 151
  • 161
  • 171
  • 181
  • 191
  This results in 10 palindromes.
• 200-299: Similarly, palindromic numbers in this range start and end with the digit 2. The middle digit can also range from 0 to 9. These numbers are:
  • 202
  • 212
  • 222
  • 232
  • 242
  • 252
  • 262
  • 272
  • 282
  • 292
  This adds another 10 palindromes.
• 300: The number 300 itself is not a palindrome.

Therefore, the total count of palindromic numbers from 100 to 300 is 10 + 10 = 20.