Rounding down, sometimes referred to as "taking the floor" of a number means rounding down towards the nearest integer. In the case of negative numbers, rounding up means rounding a non-integer negative number to its next closest, more positive integer. For example, when rounding to the ones place, any non-integer value will be rounded up to the next highest integer, as shown below: 5.01 Rounding up, sometimes referred to as "taking the ceiling" of a number means rounding up towards the nearest integer. For example, when rounding to the ones place: -5.50 We agree here rounding half down can be thought of as rounding values that are halfway towards the smaller or more negative value. ![]() In the case of negative numbers, same as rounding half up, the definition is ambiguous. For example, when rounding to the ones place: 5.50 Rounding half down is similar to rounding half up, except that it means rounding values that are halfway between the chosen rounding precision down, rather than up. We agree here the "up" can be thought of as rounding values that are halfway towards the bigger or more positive value. When the value being rounded is negative, the definition is somewhat ambiguous. It means rounding values that are halfway between the chosen rounding precision up. This rounding method is one of the more common rounding methods used. All the rounding modes the calculator is capable of are described below. The calculator defaults to rounding to the nearest integer, but settings can be changed to use other rounding modes and levels of precision. There are various rounding definitions that can be used to round a number. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3. Rounding a number involves replacing the number with an approximation of the number that results in a shorter, simpler, or more explicit representation of said number based on specific rounding definitions. ![]() Click "Settings" to set the rounding method or define your own precision level.
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