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Midnight — Definition, Formula & Examples

Midnight is 12:00 at night, the moment one calendar day ends and the next one begins. On a 12-hour clock it is written as 12:00 a.m., and on a 24-hour (military) clock it is written as 00:00.

Midnight denotes the instant corresponding to 00 hours, 00 minutes, and 00 seconds in the 24-hour timekeeping system. It marks the boundary between two consecutive calendar dates and serves as the reference point from which all other times in a day are measured.

How It Works

Midnight splits every day in two: everything from midnight up to just before noon belongs to the a.m. hours, and everything from noon up to just before the next midnight belongs to the p.m. hours. On an analog clock, the hour hand points straight up at the 12 when it is midnight — the same position it reaches at noon. The difference is context: midnight happens when it is dark outside. In 24-hour (military) time, midnight at the start of a day is written as 00:00, which makes it easy to tell apart from noon (12:00).

Worked Example

Problem: A movie ends at 11:15 p.m. and a student needs 45 minutes to get home. What time does the student arrive, and has the calendar date changed?
Step 1: Add 45 minutes to 11:15 p.m.
11 ⁣: ⁣15 p.m.+45 min=12 ⁣: ⁣0011\!:\!15 \text{ p.m.} + 45 \text{ min} = 12\!:\!00
Step 2: Since 12:00 after p.m. hours is midnight, we label it 12:00 a.m.
12 ⁣: ⁣00 a.m. (midnight)12\!:\!00 \text{ a.m. (midnight)}
Step 3: Midnight is the start of a new calendar day, so the date has changed.
Answer: The student arrives at 12:00 a.m. (midnight), which is already the next calendar date.

Another Example

Problem: Convert midnight to 24-hour (military) time.
Step 1: Recall that in 24-hour time, the day starts at 00:00.
Step 2: Midnight marks that starting point, so 12:00 a.m. becomes 00:00.
12 ⁣: ⁣00 a.m.=00 ⁣: ⁣0012\!:\!00 \text{ a.m.} = 00\!:\!00
Answer: Midnight in 24-hour time is 00:00.

Why It Matters

Understanding midnight is essential in everyday scheduling — knowing when a deadline, a sale, or a new day officially starts depends on it. In elementary math classes on telling time, students learn that midnight anchors the entire a.m./p.m. system. Fields like transportation and medicine use 24-hour time specifically to avoid confusion between midnight and noon.

Common Mistakes

Mistake: Labeling midnight as 12:00 p.m.
Correction: Midnight is 12:00 a.m. The p.m. label belongs to noon. Remember: a.m. hours start at midnight, and p.m. hours start at noon.
Mistake: Writing midnight as 24:00 in military time instead of 00:00.
Correction: While some standards allow 24:00 to mean the end of a day, the standard way to write midnight at the start of a new day is 00:00.

Related Terms

  • HourMidnight marks the zero-th hour of the day
  • Minute60 minutes make up each hour after midnight
  • Minute HandPoints to 12 on an analog clock at midnight
  • Military TimeUses 00:00 to represent midnight clearly
  • Days, Weeks, Months, and YearsEach new calendar day begins at midnight
  • ArcminuteA unit of angular measure related to time
  • ArcsecondA smaller angular unit linked to timekeeping