Rounding Calculator: Generates Decimal Place Value Chart & Steps

Rounding Calculator Sign

This rounding decimals calculator will round a number to the desired place (billions, hundred millions, ten millions, millions, hundred thousands, ten thousands, thousands, hundreds, tens, ones, tenths, hundredths, thousandths, ten thousandths, hundred thousandths, millionths, ten millionths, hundred millionths, or billionths).

Plus, if the number is between billions and billionths and the rounded result is greater than zero, the results will include a color-coded decimal place value chart along with the steps to rounding the number.

And finally, the results also include a chart showing the number rounded to each of the 17 other optional places.

Read more ...

Also on this page:

Rounding Calculator

Round a decimal number to the desired place, and see the decimal place value chart with steps.

Learn More

Selected Data Record:

A Data Record is a set of calculator entries that are stored in your web browser's Local Storage. If a Data Record is currently selected in the "Data" tab, this line will list the name you gave to that data record. If no data record is selected, or you have no entries stored for this calculator, the line will display "None".

DataData recordData recordSelected data record: None
Decimal:Decimal:Decimal number:Decimal number:

Decimal number:

Enter a decimal number you would like to round to a desired place. If the number is within the digit limits for a tutorial, a decimal place value chart will be generated in the results.

#
Round to:Round to:Round to nearest:Round to nearest:

Round to nearest:

Select the place you would like the calculator to round the entered number to.

Rounded:Rounded:Rounded:Rounded:

Rounded:

This is the result after rounding the entered number to the selected place.

If you would like to save the current entries to the secure online database, tap or click on the Data tab, select "New Data Record", give the data record a name, then tap or click the Save button. To save changes to previously saved entries, simply tap the Save button. Please select and "Clear" any data records you no longer need.

Related Calculators

algebra calculatoradd subtract decimals calculatormultiplying and dividing decimals calculator

Help and Tools

Learn

How to round a number and rounding decimals examples.

How to Round a Number

To round a number, first find the place within the number you want to round to.

Second, look at the digit in the next smallest place (digit to the immediate right of the rounding place), which I refer to as the rounding factor, and do one of the following based on the rounding factor.

  • If the rounding factor is less than 5, leave the rounding place as is.
  • If the rounding factor is greater than 4, add one to the rounding place. If this causes the rounding place to be 10, enter a zero in the rounding place and add one to the next place to the left (repeat as necessary until adding one to the next place to the left doesn't create a 10).

Third, zero out places that occur between the rounding place and the decimal point, and drop places that occur after the rounding place and after the decimal point.

Rounding Examples

The following are examples of rounding numbers to the most popular places. In each example, I have created a decimal place value chart for the number and color-coded the decimal point placement, the rounding place column, and the rounding factor column.

Round to the Nearest Cent Example (hundredths, or .01, or two decimal places)

Number: 34.6781

Below are the steps to rounding 34.6781 to the nearest 0.01 or Hundredths Place without a rounding function.

T
e
n
s
O
n
e
s
T
e
n
t
h
s
H
u
n
d
r
e
d
t
h
s
T
h
o
u
s
a
n
d
t
h
s
T
e
n

T
h
o
u
s
a
n
d
t
h
s
346781
3468

Step #1: Find the digit in the place you want to round to (rounding place), which in this case is the 7 located in the Hundredths column.

Step #2: Look at the value in the place to the immediate right of the rounding place (rounding factor), which in this case is the 8 located in the Thousandths column. If the rounding factor is greater than 4, which in this case it is (8 > 4), increase the digit in the rounding place by one (7 + 1 = 8).

Step #3: Drop the remaining 2 places that occur after the rounding place. This leaves you with a rounded number of 34.68.

Round to the Nearest Tenth Example (.1 or one decimal place)

Number: 14.6256

Below are the steps to rounding 14.6256 to the nearest 0.1 or Tenths Place without a rounding function.

T
e
n
s
O
n
e
s
T
e
n
t
h
s
H
u
n
d
r
e
d
t
h
s
T
h
o
u
s
a
n
d
t
h
s
T
e
n

T
h
o
u
s
a
n
d
t
h
s
146256
146

Step #1: Find the digit in the place you want to round to (rounding place), which in this case is the 6 located in the Tenths column.

Step #2: Look at the value in the place to the immediate right of the rounding place (rounding factor), which in this case is the 2 located in the Hundredths column. If the rounding factor is less than 5, which in this case it is (2 < 5), leave the digit in the rounding place as is.

Step #3: Drop the remaining 3 places that occur after the rounding place. This leaves you with a rounded number of 14.6.

Round to the Nearest Whole Number Example (1 or ones place)

Number: 345.61

Below are the steps to rounding 345.61 to the nearest 1 or Ones Place without a rounding function.

H
u
n
d
r
e
d
s
T
e
n
s
O
n
e
s
T
e
n
t
h
s
H
u
n
d
r
e
d
t
h
s
34561
346

Step #1: Find the digit in the place you want to round to (rounding place), which in this case is the 5 located in the Ones column.

Step #2: Look at the value in the place to the immediate right of the rounding place (rounding factor), which in this case is the 6 located in the Tenths column. If the rounding factor is greater than 4, which in this case it is (6 > 4), increase the digit in the rounding place by one (5 + 1 = 6).

Step #3: Drop the remaining 2 places that occur after the rounding place. This leaves you with a rounded number of 346.

Round to the Nearest Tens Example (10 or tens place)

Number: 1,896.81

Below are the steps to rounding 1896.81 to the nearest 10 or Tens Place without a rounding function.

T
h
o
u
s
a
n
d
s
H
u
n
d
r
e
d
s
T
e
n
s
O
n
e
s
T
e
n
t
h
s
H
u
n
d
r
e
d
t
h
s
189681
18100
1900

Step #1: Find the digit in the place you want to round to (rounding place), which in this case is the 9 located in the Tens column.

Step #2: Look at the value in the place to the immediate right of the rounding place (rounding factor), which in this case is the 6 located in the Ones column. If the rounding factor is greater than 4, which in this case it is (6 > 4), increase the digit in the rounding place by one (9 + 1 = 10). However, since this causes the rounding place to be 10, leave a zero in the rounding place and add one to the next place to the left.

Step #3: Place a zero in the 2 places that occur after the rounding place but before the decimal point, and drop the 2 places that occur after the decimal point. This leaves you with a rounded number of 1900.

Round to the Nearest Hundreds Example (100 or hundreds place)

Number: 38,134.25

Below are the steps to rounding 38134.25 to the nearest 100 or Hundreds Place without a rounding function.

T
e
n

T
h
o
u
s
a
n
d
s
T
h
o
u
s
a
n
d
s
H
u
n
d
r
e
d
s
T
e
n
s
O
n
e
s
T
e
n
t
h
s
H
u
n
d
r
e
d
t
h
s
3813425
38100

Step #1: Find the digit in the place you want to round to (rounding place), which in this case is the 1 located in the Hundreds column.

Step #2: Look at the value in the place to the immediate right of the rounding place (rounding factor), which in this case is the 3 located in the Tens column. If the rounding factor is less than 5, which in this case it is (3 < 5), leave the digit in the rounding place as is.

Step #3: Place a zero in the 2 places that occur after the rounding place but before the decimal point, and drop the 2 places that occur after the decimal point. This leaves you with a rounded number of 38100.

Round to the Nearest Thousand Example (1000 or thousands place)

Number: 3,461,874.1

Below are the steps to rounding 3461874.1 to the nearest 1000 or Thousands Place without a rounding function.

M
i
l
l
i
o
n
s
H
u
n
d
r
e
d

T
h
o
u
s
a
n
d
s
T
e
n

T
h
o
u
s
a
n
d
s
T
h
o
u
s
a
n
d
s
H
u
n
d
r
e
d
s
T
e
n
s
O
n
e
s
T
e
n
t
h
s
34618741
3462000

Step #1: Find the digit in the place you want to round to (rounding place), which in this case is the 1 located in the Thousands column.

Step #2: Look at the value in the place to the immediate right of the rounding place (rounding factor), which in this case is the 8 located in the Hundreds column. If the rounding factor is greater than 4, which in this case it is (8 > 4), increase the digit in the rounding place by one (1 + 1 = 2).

Step #3: Place a zero in the 3 places that occur after the rounding place but before the decimal point, and drop the place that occurs after the decimal point. This leaves you with a rounded number of 3462000.

Round to the Nearest Ten Thousand Example (10000 or ten thousands place)

Number: 42,986,251

Below are the steps to rounding 42986251 to the nearest 10000 or Ten Thousands Place without a rounding function.

T
e
n

M
i
l
l
i
o
n
s
M
i
l
l
i
o
n
s
H
u
n
d
r
e
d

T
h
o
u
s
a
n
d
s
T
e
n

T
h
o
u
s
a
n
d
s
T
h
o
u
s
a
n
d
s
H
u
n
d
r
e
d
s
T
e
n
s
O
n
e
s
42986251
42990000

Step #1: Find the digit in the place you want to round to (rounding place), which in this case is the 8 located in the Ten Thousands column.

Step #2: Look at the value in the place to the immediate right of the rounding place (rounding factor), which in this case is the 6 located in the Thousands column. If the rounding factor is greater than 4, which in this case it is (6 > 4), increase the digit in the rounding place by one (8 + 1 = 9).

Step #3: Place a zero in the 4 places that occur after the rounding place but before the decimal point. This leaves you with a rounded number of 42990000.

Adjust Calculator Width:

Move the slider to left and right to adjust the calculator width. Note that the Help and Tools panel will be hidden when the calculator is too wide to fit both on the screen. Moving the slider to the left will bring the instructions and tools panel back into view.

Also note that some calculators will reformat to accommodate the screen size as you make the calculator wider or narrower. If the calculator is narrow, columns of entry rows will be converted to a vertical entry form, whereas a wider calculator will display columns of entry rows, and the entry fields will be smaller in size ... since they will not need to be "thumb friendly".

Show/Hide Popup Keypads:

Select Show or Hide to show or hide the popup keypad icons located next to numeric entry fields. These are generally only needed for mobile devices that don't have decimal points in their numeric keypads. So if you are on a desktop, you may find the calculator to be more user-friendly and less cluttered without them.

Stick/Unstick Tools:

Select Stick or Unstick to stick or unstick the help and tools panel. Selecting "Stick" will keep the panel in view while scrolling the calculator vertically. If you find that annoying, select "Unstick" to keep the panel in a stationary position.

If the tools panel becomes "Unstuck" on its own, try clicking "Unstick" and then "Stick" to re-stick the panel.