how many even natural numbers have a three-digit numeral?

100,102,...,996,998,1000

(1000-100)/2 = ___

To determine the number of even natural numbers with a three-digit numeral, we need to count the total number of three-digit numbers that are divisible by 2.

Step 1: Determine the total number of three-digit numbers.
To find the total number of three-digit numbers, we need to subtract the smallest three-digit number from the largest three-digit number and then add 1.
The smallest three-digit number is 100, and the largest three-digit number is 999.
So, the total number of three-digit numbers = (999 - 100) + 1 = 900.

Step 2: Determine the count of even numbers.
For a number to be even, the last digit should be even, i.e., it should be 0, 2, 4, 6, or 8.
There are 5 possible options for the last digit.

Step 3: Count the even numbers with the other two digits.
Since we have 5 options for the last digit (0, 2, 4, 6, or 8), we have 10 options for the two remaining digits (0-9).
Therefore, the total count of even numbers with three digits = 5 options for the last digit × 10 options for the other two digits = 50.

Hence, there are 50 even natural numbers with a three-digit numeral.