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

**Related Pages**

Significant Figures

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.

**How to round numbers to the nearest 10?**

If the digit in the ones place is:

5 or higher, round tens place up

4 or lower, leave tens place as is

Digits in other places does not matter.

**Example:**

Round the following numbers to the nearest 10

738

293

197

**Rounding Whole Numbers: Round to the Nearest Ten**

- Locate the digit one place to the right of the digit in the indicated rounding place.
- If it is 5 or more, round up by 1. If it is 4 or less do not change.
- Change all digits to the right of the rounding place digit to zeros.

**Example:**

Round the following to the nearest ten.

a) 63

b) 77

c) 85

**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.

**Examples:**

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.

**Round 3-digit Numbers to the Nearest Hundred**

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

**Rounding Whole Numbers: Round To The Nearest Hundred**

**Example:**

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.

**Examples:**

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.

**Steps to round numbers to the nearest thousand**

- Underline the number that we are rounding to
- Look at the digit to the right of the underlined digit
- If that number is 0-4, the underlined number stays the same all others are zeros,
- If that number is 5-9, the underlined digit goes up by 1. All others are zero.

**Example:**

Round to the thousands.

1,674

**Rounding nearest thousand and to the nearest ten thousand place**

Step 1: Identify the significant digit.

Step 2: Look behind to see if go up or remain unchanged.

**Example:**

Round 34,528 to the nearest thousand and to the nearest ten thousand.

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