How do I use this rounding calculator?

The rounding mode is already selected. Type your value without thousands separators, for example 12600. 12,600 rounds to 13,000. The original decimal is used directly, avoiding binary floating-point surprises.

What if my number is exactly halfway?

Check the tie rule. Half up moves a positive halfway value upward; Half even selects the nearest even result at a tie. The calculator compares the rules and explains negative values separately.

Is nearest hundredth the same as nearest hundred?

No. A hundredth is 0.01 and uses two decimal places. A hundred is 100 and rounds to a whole-number multiple of 100. A thousandth is 0.001; a thousand is 1,000.

Rounding to the Nearest Thousand Calculator

Choose the nearest multiple of 1,000. The hundreds digit tells you which adjacent thousand is nearer. This page opens on the right rounding mode with a worked example: 12,600 rounds to 13,000. Replace the number with your own and check the named tie rule beside the result.

the nearest 1000 · half up13000Rounded up · the ten rules do not all agree

Value

Round to

Step

Ties

Snap to the nearest step of any size: the nearest 5, the nearest 10, the nearest 0.25. The step does not have to be a power of ten.

Half up. Nearest neighbour; an exact midpoint goes up the number line, toward +∞. So 2.5 → 3 and −2.5 → −2. This is what most people were taught at school, and it is not symmetric about zero.

12600 sits between 12000 and 13000, nearer 13000. There is no tie here, so Half up (like every other nearest-neighbour rule) takes the closer one: 13000.

Resulthalf up
13000
With separatorsthe same number, grouped in thousands
13,000
Scientifichow many digits are actually claimed
1.3 × 10⁴
For codee-notation, ready to paste
1.3e+4
Differencethe answer minus what you typed
+400
Grid pointsthe two values your number falls between
12000 → 13000
How this was readthe exact decimal these answers are built from
12600
The exact stored valuea 64-bit float holds this number exactly, so nothing diverges
12600

The same number under all ten rules. Where they disagree none of them is wrong; they are different rules, and this is exactly where two spreadsheets quietly stop matching.

Rule	Result	Where you meet it
Half up · your rule	13000	JavaScript Math.round(), school rounding
Half down	13000	rare on its own; the mirror of half up
Half to even (banker's)	13000	IEEE 754 default, Python round(), C# Math.Round(), NumPy
Half to odd	13000	some signal-processing code; uncommon elsewhere
Half away from zero	13000	Excel ROUND(), PHP round(), Java BigDecimal HALF_UP, most SQL engines
Half toward zero	13000	Java BigDecimal HALF_DOWN
Ceiling	13000	Math.ceil(), Excel CEILING()
Floor	12000	Math.floor(), Excel INT()
Truncate (toward zero)	12000	Math.trunc(), Excel TRUNC(), integer casts in C, Go and Rust
Away from zero	13000	Excel ROUNDUP()

This rounds the number you typed, not the binary copy of it. Ask almost any language for 1.005 to two decimal places and it answers 1.00, because a 64-bit float cannot hold 1.005. What it holds is 1.00499999999999989, a hair below the midpoint, so the tie never happens. The arithmetic here is exact decimal, so 1.005 gives 1.01, and wherever that choice changes the answer this page says so and shows the value actually held in memory.

Common questions

How do I use this rounding calculator?: The rounding mode is already selected. Type your value without thousands separators, for example 12600. 12,600 rounds to 13,000. The original decimal is used directly, avoiding binary floating-point surprises.
What if my number is exactly halfway?: Check the tie rule. Half up moves a positive halfway value upward; Half even selects the nearest even result at a tie. The calculator compares the rules and explains negative values separately.
Is nearest hundredth the same as nearest hundred?: No. A hundredth is 0.01 and uses two decimal places. A hundred is 100 and rounds to a whole-number multiple of 100. A thousandth is 0.001; a thousand is 1,000.

Exact, with one stated interpretation. All arithmetic is exact-decimal integer division on BigInts, with no floating point anywhere in the answer path, so results are correct to the last digit at any magnitude. Where treating your input as an exact decimal changes the answer, the page says so and shows both.