Round to the nearest ten calculator

What is rounding to the nearest ten?

Rounding to the nearest ten replaces a number with the closest multiple of ten — a value ending in $0$, such as $40$, $50$, or $120$. It is one of the first rounding skills taught in school because it makes numbers easier to estimate, compare, and add in your head.

This calculator takes any number you enter and returns the multiple of ten it is nearest to.

How does it work?

Look at the digit in the ones place (the last digit of a whole number):

• If it is $5$ or greater, round up to the next multiple of ten.
• If it is $4$ or less, round down to the current multiple of ten.

The ones digit becomes $0$ and the tens digit either stays the same or increases by one.

Formula

Rounding to the nearest ten is the same as dividing by ten, rounding to the nearest whole number, and multiplying by ten again:

Here $\operatorname{round}$ is the standard round-half-up rule.

Worked examples

Example 1: rounding up

For $x = 47$:

The ones digit is $7$, so we round up to $50$.

Example 2: rounding down

For $x = 44$:

The ones digit is $4$, so we round down to $40$.

Example 3: a three-digit number

For $x = 123$:

Only the ones digit ($3$) matters; it is below $5$, so the number drops to $120$.

Reference table

Notes

• A number that is already a multiple of ten is returned unchanged.
• A ones digit of exactly $5$ rounds up under the round-half-up rule, so $25$ becomes $30$ and $45$ becomes $50$.
• Only the ones digit decides the direction — the tens digit and everything to its left simply carry along.
• For finer control, round to a decimal place instead with the round to the nearest tenth calculator or the general rounding calculator.

FAQ

What is 47 rounded to the nearest ten?

It is $50$. The ones digit is $7$, which is $5$ or more, so the number rounds up.

What is 123 rounded to the nearest ten?

It is $120$. The ones digit is $3$, which is below $5$, so the number rounds down.

Does 45 round to 40 or 50?

Using the common round-half-up rule it rounds to $50$, because a ones digit of $5$ is sent upward.