What is the term for the operation similar to rounding but never rounding up?

The operation similar to rounding that never rounds up is referred to as truncating. When you truncate a number, you essentially cut off the digits after a certain point without considering them for any rounding purposes. For example, truncating 3.76 to one decimal place results in 3.7, as it simply removes the digits after the first decimal without any alterations. This operation is useful when you need to maintain a certain level of precision without increasing the value, which is crucial in many mathematical and financial applications where maintaining the initial number is necessary.

In contrast, while flooring could also refer to a related action, it specifically involves finding the greatest integer less than or equal to a given number, which might look similar but has a distinct definition within mathematics. The terms Round Down and Circular Rounding do not specifically convey the exact operation of simply cutting off decimal digits without any adjustment.