# What happens when you round a negative number?

## What happens when you round a negative number?

If x is positive, round-down is the same as round-towards-zero, and round-up is the same as round-away-from-zero. If x is negative, round-down is the same as round-away-from-zero, and round-up is the same as round-towards-zero. In any case, if x is an integer, y is just x .

## What does truncating a number mean?

In simplest terms, truncation means to chop off the decimal portion of a number.

What does round to 0 decimal places mean?

Remarks. If num_digits is greater than 0 (zero), then number is rounded to the specified number of decimal places. If num_digits is 0, the number is rounded to the nearest integer. If num_digits is less than 0, the number is rounded to the left of the decimal point.

How do you round a negative number?

This advantage holds true for negative numbers with the “round away from zero” rule. -0.15X will always round to -0.2 regardless of X. This works with the “round down” and “round towards zero” rule for negative numbers, but not any other rule.

### Is negative down or up?

When calculating the rise of a line’s slope, down is always negative and up is always positive. When calculating the run of a line’s slope, right is always positive and left is always negative.

### When do you truncate a number?

When we truncate a number, we find an estimate for the number without doing any rounding. To truncate a number, we miss off digits past a certain point in the number, filling-in zeros if necessary to make the truncated number approximately the same size as the original number.

What does accurate to three decimal places mean?

\(3.168\) is correct to three decimal places as there are three digits after the decimal point. If the number at the next decimal place is five or more add 1 to the previous decimal place. With \(3.168\) the number at the third decimal place is five or more. So, \(3.168\) rounds up to \(3.17\) (to two decimal places).

How do you round a number to 2 decimal places?

Rounding to decimal places

1. look at the first digit after the decimal point if rounding to one decimal place or the second digit for two decimal places.
2. draw a vertical line to the right of the place value digit that is required.
3. look at the next digit.
4. if it’s 5 or more, increase the previous digit by one.

## How do you round up decimals?

There are certain rules to follow when rounding a decimal number. Put simply, if the last digit is less than 5, round the previous digit down. However, if it’s 5 or more than you should round the previous digit up. So, if the number you are about to round is followed by 5, 6, 7, 8, 9 round the number up.

## Is there a way to round a negative number?

Rounding by adding 0.5 and truncating works fine for non-negative numbers, but it rounds the wrong way for negative numbers. There are a few solutions. If you have an efficient sign () function (which returns -1, 0 or 1, depending on whether a number is <0, ==0 or >0, respectively), you can:

Which is the second parameter of the round function?

ROUND (748.58, -1) 750.00 the second parameter: Lenght, is the precision to which numeric_expression is to be rounded. length must be an expression of type tinyint, smallint, or int. When length is a positive number, numeric_expression is rounded to the number of decimal positions specified by length.

When do you round to the nearest integer in Python?

the decimal places it should consider while rounding. The second argument is optional and defaults to 0 when not specified, and in such case, it will round to the nearest integer, and the return type will also be an integer. When the decimal places, i.e. the second argument, is present, it will round to the number of places given.

### How to round off numbers in Python 3?

Remember to round up! Note: In python, if we round off numbers to floor or ceil without giving the second parameter, it will return 15.0 for example and in Python 3 it returns 15, so to avoid this we can use (int) type conversion in python.