The reason is that 5 is directly in the middle of the digits we round, so we must round it up half the time, and down half the time. To make this more clear, look at the digits we round to another number: 1, 2, 3, 4 we round down. Notice that 5, if rounded up always, gives us 5 numbers we round up, and 4 we round down.
When its a 5 do you round up or down?
Jun 04, 2020 · The reason is that 5 is directly in the middle of the digits we round, so we must round it up half the time, and down half the time. To make this more clear, look at the digits we round to another number: 1, 2, 3, 4 we round down. Notice that 5, if rounded up always, gives us 5 numbers we round up, and 4 we round down. Click to see full answer
When is rounding numbers does 5 go up or down?
Apr 05, 2020 · Is .5 rounded up or down? The reason is that 5 is directly in the middle of the digits we round, so we must round it up half the time, and down half the time. To make this more clear, look at the digits we round to another number: 1, 2, 3, 4 we round down. Notice that 5, if rounded up always, gives us 5 numbers we round up, and 4 we round down.
Why the 5 is upside down?
Apr 20, 2015 · With a rounding up rule we have one procedure that works for all cases: look at the place to the right of the one you are rounding to. With a rounding down rule we need a special procedure when we find a 5 in that place: check each place to the right until you either reach the end of the number or find a non-zero. Note that this logic doesn't apply to negative numbers …
What is the rule for rounding 5?
Rounding down, sometimes referred to as "taking the floor" of a number means rounding down towards the nearest integer. For example, when rounding to the ones place, any non-integer value will be rounded down to the next lowest integer, as shown below: 5.99 ⇒ 5
What does "rounding down" mean?
Rounding down, sometimes referred to as "taking the floor" of a number means rounding down towards the nearest integer. For example, when rounding to the ones place, any non-integer value will be rounded down to the next lowest integer, as shown below:
What is rounding half down?
Round half down: 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. For example, when rounding to the ones place: In the case of negative numbers, same as rounding half up, the definition is ambiguous.
What is rounding a number?
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. For example, if rounding the number 2.7 to the nearest integer, 2.7 would be rounded to 3.
Firstly, what is "Rounding" ?
Rounding means making a number simpler but keeping its value close to what it was. The result is less accurate, but easier to use.
Half Round Up (the common method of rounding)
The common method of rounding is to make 0.5 go up, so 7.5 rounds up to 8
Half Round Down
But 5 can go down if we want. In that case 7.5 rounds down to 7, and we get this:
Round Half Away From 0
For this method, 0.5 rounds the number so it is further away from zero, like this:
Round Randomly
We could also choose to round 0.5 up or down randomly, but how? By tossing a coin? Or a computer function?
Floor and Ceiling
There are two other methods that don't even consider 0.5. They are called Floor and Ceiling.
Floor
Using "floor", all digits go down, no matter what the dropped digit is: