The smallest integer greater than or equal to 14.2857 is 15.

Sun, 03 May 2026 08:56:54 +0000

The Smallest Integer Greater Than or Equal to 14.2857 Is 15 – Understanding Ceiling Values Explained When working with numbers in mathematics and programming, understanding how to interpret and manipulate numerical values is essential. One common concept is determining the smallest integer greater than or equal to a given number, often referred to using the mathematical function ceiling, denoted as ⌈x⌉. In this case, consider the decimal number 14.2857. At first glance, it’s clear this lies between two whole numbers: 14 and 15. But which integer should we take? The answer is 15, the smallest integer that meets the condition of being greater than or equal to 14.2857. ### What Is the Ceiling Function?
The ceiling function, expressed as ⌈x⌉, takes any real number x and returns the smallest integer that is greater than or equal to x. For example:
- ⌈14.2857⌉ = 15
- ⌈10⌉ = 10
- ⌈–3.2⌉ = –3 (since –3 is the smallest integer not less than –3.2)