Question

State whether AM or PM is represented by the following times. \(1450\)

Short answer

1450 represents PM.

Step-by-step solution

Understand the Problem

The time is given in a 24-hour format, and we are required to determine if it corresponds to AM or PM in the 12-hour clock format.

Review the 24-Hour Time Format

In a 24-hour time system, the day starts from 00:00 (midnight) to 23:59. The first 12 hours, from 00:00 to 11:59, are considered AM. The time after 12:00 (noon) to 23:59 is considered PM.

Identify the Time Period

The given time is 1450. To identify whether it is AM or PM, we check if it is before or after 1200 (noon). If after 1200, it is PM; otherwise, it is AM.

Calculate and Conclude

Since 1450 is greater than 1200, the time is in PM. Specifically, 1450 translates to 2:50 PM in the 12-hour clock format.

Key concepts

AM and PM conversion

AM and PM are terms used to distinguish between the first and second halves of the day when using the 12-hour clock system. - **AM** stands for "Ante Meridiem," a Latin term meaning "before midday." This is the time from midnight to midday (00:00 to 11:59 in 24-hour time). - **PM** stands for "Post Meridiem," which means "after midday." This time range begins at noon and continues until just before midnight (12:00 to 23:59 in 24-hour time). Correctly converting times from 24-hour format to 12-hour or deciding between AM and PM requires knowing these distinctions. This conversion helps avoid confusion, as using AM and PM ensures the time is clearly associated with morning or afternoon.

12-hour clock

The 12-hour clock is a traditional timekeeping system that divides the day into two segments of 12 hours each. While intuitive, it requires the use of AM and PM to clarify whether a time is in the morning or evening. For example, 2:00 can occur twice a day: - Once in the early morning hours (2:00 AM) - Once in the afternoon (2:00 PM) When using a 12-hour clock, it's important to remember: - 1 to 11, both in the AM and PM, indicate the respective hour in morning or evening. - 12:00 marks either midnight (12:00 AM) or noon (12:00 PM). Using AM and PM alongside the 12-hour clock format helps indicate more precisely when events occur during the day.

time calculation

Time calculation often involves converting or comparing times from different formats, such as the 24-hour system to the 12-hour system, to determine AM or PM designation. To calculate time in a 24-hour system: - Times from 00:00 (midnight) to 11:59 are in the AM range. - Times from 12:00 (noon) to 23:59 belong to the PM range. To convert a 24-hour time to the 12-hour format: 1. If the hour is greater than 12, subtract 12 from the hour to get the PM time. 2. If the hour is less than 12 and not zero, it remains as AM. 3. The special cases are 00:00 (which is 12:00 AM) and 12:00 (which is 12:00 PM). For example, 1450 in a 24-hour format translates by subtracting 12 from the hour, giving us 2:50 PM in the 12-hour format.

military time conversion

Military time is another name for the 24-hour clock format, often used to eliminate ambiguity in time representation. In military time, hours are counted from zero to 23, making it clear whether a time refers to morning or afternoon without the need for AM or PM. Key points on converting to the military format: - No use of colons; for instance, 1450 instead of 14:50. - The day starts from 0000 (midnight) and ends at 2359. To convert from military time to a standard 12-hour time: - Follow the same steps as converting any 24-hour format. - For example, 1450 translates to 2:50 PM in standard time, showing it’s in the PM period since the hour is more than 12. Understanding military time is crucial in fields like aviation, the military, and other scenarios requiring precision and uniformity in timekeeping.