One digit is added to 9, and the rest dropped to zero. The digit to the right of the rounding digit in 95 is 5. One digit is added to the rounding digit, and 5 is dropped to zero. The digit to the right of the rounding digit in 75 is 5. The number does not affect the rounding digit, 4 and 3 are dropped to zero. The digit to the right of the rounding digit in 43 is 3. Therefore, one digit is added to the rounding digit, 2, and the other digit is dropped to zero. The digit to the right of the rounding digit in 29 is 9. Round the following list of numbers to the nearest hundreds.Ĥ. Round off these numbers to the nearest tens.ģ. Round off the following numbers to the nearest tens.Ģ. All the digits to the right are dropped to zero.ġ. If the digit to the right side of the rounding digit is 5, 6, 7, 8, or 9, the rounding digit increases by one digit.All digits to the right of the rounding digit become zero.

$rounding whole numbers$

If the digit to the right side of the rounding digit is 0, 1, 2, 3, or 4, then the rounding digit doesn’t change.Therefore, the first step when rounding a number is identifying the rounding digit and looking at the next digit to the right side. Similarly, the rounding digit is in the third place when rounding to the nearest hundred, which is 1. half floor - the nearest neighbor, equidistant towards the smaller number.It is fundamentally important to understand the term “ rounding digit” when rounding off numbers.įor example, when rounding off numbers 100 to tens, the rounding digit is the second number from the right.half ceil - the nearest neighbor, equidistant values go towards the larger number.When you want to round to the nearest cent, just use the half even mode. The same rule (for the same reason) is used in accounting. If you'd round up all the time, the average is too high. It prevents cumulative rounding errors and this is why it's often used in science (we use it as a default mode in our significant figures calculator. Rounds towards the nearest neighbor, but if equidistant, it rounds towards the even number. The above numbers become 3 and -3 respectively. half down - similarly to half up, it rounds to the nearest neighbor, unless it's equidistant - then it rounds towards zero (just like in the down mode).This is how rounding is usually performed. For example, 3.5 becomes 4 and -3.5 becomes -4. If equidistant, it rounds away from zero (just like in the up mode). half up (default) - rounds towards the nearest neighbor.

This principle is what our modulo calculator is based on. Similarly, negative numbers go the opposite way than in the case of rounding down.

floor - it rounds towards the smaller number.

It differs from rounding up by the way it handles negative numbers.

ceil - rounds towards the larger number.

Here's the description of all modes, we'll round to the nearest whole number. Sometimes you want exact halves to be rounded up in half of the cases and down in the other half, in order to for a higher chance of an average staying close to the truth. Sometimes you want to round everything up ( 2.1 would be rounded to 3). Depending on the situation, you will want this rounding algorithm to behave appropriately.

Rounding whole numbers