1.005: Round off the (terminating) decimal number to the nearest hundredth (2 decimal places)

1.005 rounded to the nearest hundredth (2 decimal places) = ?

How is the number rounded off? Half Up, Half Down, Half Away From Zero, Half Towards Zero, Half to Even, Half to Odd. To Ceiling, To Floor.

What does it mean to round off a number?

Rounding a number means replacing it with a simpler, shorter approximation, while keeping its value close to the initial one. The rounded number will be less accurate, but easier to work with.


How is the number rounded off? Explanation.

Our number is sitting on the axis of numbers between two 2 decimal place consecutive neighboring numbers:
1 < 1.005 < 1.01


Our number is to be rounded off to one of these neighbors, the closer one.


The middle of this interval, the number that is equally close to the either neighbor, is: (1 + 1.01) ÷ 2 = 1.005


Our number, 1.005, is equal to the middle of the interval, so it is equally close to the either neighbor. The number will be rounded either to 1 or to 1.01, depending on the type of rounding below.


Rule of thumb:

Rounding digit. Let's call the digit of the position place that is intended to round off to as the 'rounding digit'. The digit is 0: 1.005


If the digit to the right of the 'rounding digit' is equal to 5 and it is the last non-zero digit to the right, then the number will be rounded either to the smaller or to the larger neighbor, depending on the type of rounding.

The digit is 5: 1.005 ≈ 1 or 1.005 ≈ 1.01 rounded to the nearest hundredth (2 decimal places).


Or, even simpler.
In any number rounded to decimal places, if the digit to the right of the 'rounding digit' is 5 and it is the last non-zero digit to the right, then either increase the 'rounding digit' by 1 or leave it unchanged, but don't forget to drop all the digits to the right of it:

1.005 ≈ 1.01 or 1.005 ≈ 1 rounded to the nearest hundredth (2 decimal places).


Below we round off both the positive and the negative:

Half Up, Half Down, Half Away From Zero, Half Towards Zero, Half to Even, Half to Odd. To Ceiling, To Floor.


Number Round Half Up:

Numbers that are halfway between two neighbors are rounded off to the larger neighbor. 1.005 is halfway between its neighbors.


1.005 ≈ 1.01


- 1.005 ≈ - 1


rounded to the nearest hundredth (2 decimal places)


Number Round Half Down:

Numbers that are halfway between two neighbors are rounded off to the smaller neighbor. 1.005 is halfway between its neighbors.


1.005 ≈ 1


- 1.005 ≈ - 1.01


rounded to the nearest hundredth (2 decimal places)


Number Round Half Away From Zero:

Numbers that are halfway between two neighbors are rounded off to the neighbor which is farther away from zero. 1.005 is halfway between its neighbors.


1.005 ≈ 1.01


- 1.005 ≈ - 1.01


rounded to the nearest hundredth (2 decimal places)


Number Round Half Towards Zero:

Numbers that are halfway between two neighbors are rounded off to the neighbor which is closer towards zero. 1.005 is halfway between its neighbors.


1.005 ≈ 1


- 1.005 ≈ - 1


rounded to the nearest hundredth (2 decimal places)


Number Round Half to Even:
(Gaussian Rounding or Banker's Rounding)

Numbers that are halfway between two neighbors are rounded off to the neighbor with an even rounding digit. 1.005 is halfway between its neighbors.


1.005 ≈ 1


- 1.005 ≈ - 1


rounded to the nearest hundredth (2 decimal places)


Number Round Half to Odd:
(Gaussian Rounding or Banker's Rounding)

Numbers that are halfway between two neighbors are rounded off to the neighbor with an odd rounding digit. 1.005 is halfway between its neighbors.


1.005 ≈ 1.01


- 1.005 ≈ - 1.01


rounded to the nearest hundredth (2 decimal places)


Number Round Ceiling:

All the numbers that are between two neighbors are always rounded off to the larger neighbor.


1.005 ≈ 1.01


- 1.005 ≈ - 1


rounded to the nearest hundredth (2 decimal places)


Number Round Floor:

All the numbers that are between two neighbors are always rounded off to the smaller neighbor.


1.005 ≈ 1


- 1.005 ≈ - 1.01


rounded to the nearest hundredth (2 decimal places)


More operations like this:

Round off the number 1.006. Round off the (terminating) decimal number to the nearest hundredth (2 decimal places)


All Numbers Are Rounded Off: Half Up, Half Down, Half Away From Zero, Half Towards Zero, Half to Even, Half to Odd. To Ceiling, To Floor. Rounding Off Integers, Terminating Decimals, Pure or Mixed Repeating (Recurring) Decimal Numbers

Round off to whole places or decimal places

The latest rounded off numbers

Round off 1.005 to the nearest hundredth (2 decimal places) Sep 18 14:27 UTC (GMT)
Round off 132 to the nearest hundred (3 whole places) Sep 18 14:25 UTC (GMT)
Round off 9.5 to the nearest tenth (1 decimal place) Sep 18 14:22 UTC (GMT)
Round off 4.997 to the nearest hundredth (2 decimal places) Sep 18 14:21 UTC (GMT)
Round off 27 to the nearest ten (2 whole places) Sep 18 14:21 UTC (GMT)
Round off 302 to the nearest ten (2 whole places) Sep 18 14:20 UTC (GMT)
Round off 15.88355 to the nearest hundredth (2 decimal places) Sep 18 14:11 UTC (GMT)
Round off 133 to the nearest hundred (3 whole places) Sep 18 14:09 UTC (GMT)
Round off 6.185 to the nearest tenth (1 decimal place) Sep 18 14:08 UTC (GMT)
Round off 73.5 to the nearest ten billionth (10 decimal places) Sep 18 13:56 UTC (GMT)
Round off 109.5 to the nearest one (1 whole place) Sep 18 13:45 UTC (GMT)
Round off 18.476 to the nearest one (1 whole place) Sep 18 13:27 UTC (GMT)
Round off 15 to the nearest ten (2 whole places) Sep 18 13:23 UTC (GMT)
All the numbers rounded off by users