In these lessons, we will learn how to round whole numbers to the nearest ten, hundred and thousand.

Related Topics:

Rounding Number Worksheets,
Rounding Number Games,
More Lessons on Numbers

Sometimes, we do not need to work with very accurate numbers. For example, suppose that the attendance at a football match was 26,239. Most people may just want to know there were 26,000 at the football match instead of the exact number.

We can **round off** large numbers to the nearest thousand, nearest hundred, nearest ten, or any other specified place value.

** Example: **

Round 378 to the nearest ten.

** Solution: **

To round off to the nearest ten, we look at the ones digit.

In the number 37**8**, the ones digit is bigger than 5, so we round up to 380

378 is 380 when rounded off to the nearest ten.

*Remember* :

The rule is - if the digit to the right of the rounding place is:

5 or more, round up

4 or less, round down

** Example: **

1 65**3** is 1 650 when rounded off to the nearest ten.

53 74**5** is 53 750 when rounded off to the nearest ten.

1) Locate the digit one place to the right of the digit in the indicated rounding place.

2) If it is 5 or more, round up by 1. If it is 4 or less do not change.

3) Change all digits to the right of the rounding place digit to zeros.

* Example: *

Round 1 243 to the nearest hundred.

**Solution: **

To round off to the nearest hundred, we look at the tens digit.

In the number 1 2**4**3, the tens digit is less than 5, so we round down to 1 200.

1 243 is 1 200 when rounded off to the nearest hundred.

* Example: *

37 0**8**4 is 37 100 when rounded off to the nearest hundred.

54 2**5**3 is 54 300 when rounded off to the nearest hundred.

Use a number line to understand rounding to the nearest hundred.

Round to the nearest hundred

a) 1,839

b) 22,386

* Example: *

Round 46 225 to the nearest thousand.

*Solution: *

To round off to the nearest thousand, we look at the hundreds digit.

In the number 46 **2**25, the hundreds digit is less than 5, so we round down to 46 000.

46 225 is 46 000 when rounded off to the nearest thousand.

* Example: *

53 **6**09 is 54 000 when rounded off to the nearest thousand.

36 **5**29 is 37 000 when rounded off to the nearest thousand.

1. Underline the number that we are rounding to

2. Look at the digit to the right of the underlined digit

3. If that number is 0-4, the underlined number stays the same all others are zeros,

4. If that number is 5-9, the underlined digit goes up by 1. All others are zero.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway widget below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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