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Suppose we wanted to round off 838.274. Depending on which place value we're rounding to, the final result can vary.

**Round**to the nearest**hundred**(838.274) is**800****Round**to the nearest**ten**(838.274) is**840****Round**to the nearest**one**(838.274) is**838****Round**to the nearest**tenth**(838.274) is**838.3****Round**to the nearest**hundredth**(838.274) is**838.27**

When we "**round to the nearest ________**", regardless of what goes in that blank the steps are nearly always the same:

- Identify which place value we are rounding to. The smaller the place value, the more accurate the final result will be.
- Look to the
**next smallest place value**, or simply put,**the one directly to the right of the place value we're rounding to**. For example, if we want to**round to the nearest ten**, we will look at the**ones place**. - If this next smallest place value is
**less than five**(0, 1, 2, 3, or 4),**we leave the digit we want to round to alone.**Any digits after that number (including the next smallest place value we just looked at) become zeros, or simply drop if after the decimal point. This is called**rounding down** - If the next smallest place value is
**greater than or equal to five**(5, 6, 7, 8, or 9), we**increase the value of the digit we're rounding to by one**. Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called**rounding up**.

**3250**

- Identify the
**hundreds digit**: 3250 - Identify the
**next smallest place value**(the digit to the right of the hundreds place): 3250 - Is that digit greater than or equal to five?
**YES - we round UP** - The hundreds digit is increased by one, to
**3**. Every digit after it becomes a zero.

3250 rounded to the nearest hundred is **3300**

**323.5**

- Identify the
**tens digit**: 323.5 - Identify the
**next smallest place value**(the digit to the right of the tens place): 323.5 - Is that digit greater than or equal to five?
**NO - we round DOWN** - The tens digit stays the same. Every digit after it becomes a zero. Digits after the decimal point are dropped.

323.5 rounded to the nearest ten is **320**

**499**

- Identify the
**tens digit**: 499 - Identify the
**next smallest place value**(the digit to the right of the tens place): 499 - Is that digit greater than or equal to five?
**YES - we round UP** - The tens digit increases by one. Since 9+1=10, we carry over the 1 into the hundreds place. Each additional digit becomes a zero.

499 rounded to the nearest ten is **500**

**0.74**

- Identify the
**tenths digit**: 0.74 - Identify the
**next smallest place value**(the digit to the right of the tenths place): 0.74 - Is that digit greater than or equal to five?
**NO - we round DOWN** - The tenths digit stays the same. Since the remaining digits are all after the decimal point, they drop.

0.74 rounded to the nearest tenth is **0.7**

**3.141**

- Identify the
**hundredth digit**: 3.141 - Identify the
**next smallest place value**(the digit to the right of the hundredths place): 3.141 - Is that digit greater than or equal to five?
**NO - we round DOWN** - The hundredths digit stays the same. Remaining digits after the decimal point are dropped.

3.141 rounded to the nearest hundredth is **3.14**

About.com on How to Round Numbers

MathPlayground: How do you Round?

Math.com has several lessons on estimating and rounding

**Cite this content, page or calculator as:**

Furey, Edward "Rounding Numbers Calculator" From *http://www.CalculatorSoup.com* - Online Calculator Resource.