a date correctly correspond with a century

A date corresponds correctly with a century when the two digits of the year fall within the century range. For example, if the date is 1987, then it corresponds to the 20th century because 87 falls within the range of 1901-2000. Similarly, if the date is 2025, it corresponds to the 21st century because 25 falls within the range of 2001-2100.

To determine the century corresponding to a given date, follow these steps:

Step 1: Identify the last two digits of the year.
Let's take an example: 1950. The last two digits are "50."

Step 2: Add one to the last two digits (considering leap years).
In this case, since 1950 is not a leap year, "50 + 1 = 51."

Step 3: Divide the result by 100 and discard any remainder.
Performing the division, we get "51 ÷ 100 = 0 remainder 51." Discarding the remainder leaves us with "0."

Step 4: Subtract the result from 100.
Subtracting "0" from "100" gives us "100."

Step 5: Now we have the century!
The corresponding century to the date 1950 is the 20th century.

So, 1950 lies in the 20th century.