Rounding means making a number simple but keeping its value close to what it was. The result may be less accurate, but easier to use.

There are many ways to round. This is the most common method:

**1.** Decide which is the last digit to keep.

**2.** Leave it the same if the next digit is less than 5 (this is called rounding down)

**3.** Increase it by 1 if the next digit is 5 or more (this is called rounding up).

Example

**i.** Round 2345 to the nearest 10

**ii.** Round 1734 to the nearest 100.

**iii. **Round **(a)** 14 514, **(b) **3 453 165 to the nearest thousand.

**Solution**

**i.** 2345 to nearestÂ ten

5 unit is rounded up

The number in the tens increases by 1.

Hence 2Â 3Â 4 5Â toÂ nearest Ten is 2350.

**ii.** Round 1734 to nearest Hundred.

**Solution**

3 is less than 5 so round down

Hence 1734 to the nearest hundred = 1700.

**iii.** **(a)** 14 514 to nearest thousand.

TTH | TH | H | T | U |

1 | 4 | 5 | 1 | 4 |

4 represents thousand here and the number next to it is 5 so we add 1 to 4

Therefore, 14514 = 15000 to the nearest thousand.

**iii.** **(b)** 3453165 to nearest thousand.

M | HTH | TTH | TH | H | T | U |

3 | 4 | 5 | 3 | 1 | 6 | 5 |

3 represents thousand here and the number next to it is 1 which is less than 1 so we round down

Therefore, 3 453165 = 3 453 000.