Rounding to the nearest 100 means to write down the multiple of 100 that is nearest to the number.Either the hundreds digit will remain the same or it will increase by one.379 is in between 300 and 400, so the options are to round down to 300 or round up to 400.To decide whether we round up or down, we look at the digit in the tens column.If the digit is 4 or less, we round down.If the digit is 5 or more, we round up.This is because 350 is halfway between 300 and 400.379 has a 7 as its tens digit, which is ‘5 or more’.This means that 379 rounds up to 400.This means that 379 is nearer to 400 than 300.We always look at the tens digit to decide how to round our number to the nearest hundred.

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849 has an 8 as its hundreds digit so we can choose to round down to 800 or round up to 900.We look at the digit in the tens column, which is 4.This digit is ‘4 or less’ and so we round down.849 rounds down to 800.This means that 849 is nearer to 800 than 900.We can see that it is just before 850, which is the halfway point between 800 and 900.

Rounding to the Nearest Hundred: Interactive QuestionsRounding to the Nearest Hundred: Interactive QuestionsRounding to the Nearest 100 Worksheets and Answers

This means that 30 rounds down to zero when rounded to the nearest hundred.Here is the number 60.We can see that 60 is closer to 100 than it is to zero.

We have to decide whether to round 50 up or down.We decide to round 50 up to 100 because we can make a rule for rounding.51, 52, 53, 54, 55, 56, 57, 58 and 59 are all nearer to 100 than they are to 0.If also round 50 up then we can say that if the tens digit is 5 or more, then we round up.Even if we have a number like 50.1, it is nearer to 100 than it is to 0. If there is any other number added to 50, it is nearer to 100 and so, it is easiest to say that 50 rounds up.

The digit in the tens column of 52 is 5. 52 has 5 tens in it.5 is ‘5 or more’ and so we round it up.When first teaching rounding to the nearest hundred it is important to explain that we are actually writing down the nearest number in the 100 times table to the number we have.Number lines can be a useful way to introduce the concept of rounding as it allows us to see the size of each number and where it is in relation with other numbers.Once this concept is understood, it is recommended to just look at the tens digit to decide on how to round.

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## How to Round to the Nearest Hundred

**To round to the nearest hundred:Look at the tens digit of the number.If it is 5 or more, round up.If it is 4 or less, round down.To round up, increase the hundreds digit by 1 and set the tens and ones digits in the number to 0.To round down, keep the hundreds digit the same and set the tens and ones digits in the number to 0.**Here is an example in which we will round 379 to the nearest hundred.The first step is to look at the tens digit, which is 7.7 is ‘5 or more’ and so we round 379 up.

To round down, we keep the hundreds digit the same but change the other digits to zero.The 6 in the hundreds column remains the same but the 2 and the 8 are set to zero.628 rounds down to 600 when rounded to the nearest hundred.In this example of rounding to the nearest hundred we look at 849.The hundreds digit is 8 and so, the choice is to keep 8 as 8, or round it up to a 9. 849 is in between 800 and 900.We first look at the tens digit, which is 4.4 is ‘4 or less’ and so we round down.

We currently have a 1 in the hundreds column. To round up, this 1 increases to a 2 and the digits after this are set to zero.3161 rounds up to 3200.We previously has 31 hundreds and now we have 32 hundreds.This means that 3161 is nearer to 3200 than it is to 3100.Here is an example of rounding 4982 to the nearest hundred.Rounding to the nearest hundred means that we write down the nearest multiple of 100 to our number.We have 49 hundreds in 4982. This means that we decide between rounding to 49 hundreds and 50 hundreds.4982 is in between 4900 and 5000.We look at the tens digit, which is 8.

8 is ‘5 or more’ and so, we round up.We increase 49 hundreds to 50 hundreds.4982 rounds up to 5000. This means that 4982 is nearer to 5000 than it is to 4900.4982 is larger than 4950. 4950 is halfway between 4900 and 5000.

## Examples of Rounding to the Nearest Hundred

**Here are some examples of rounding to the nearest hundred:**

**ExampleTens Digit / RoundingRounded to the Nearest Hundred**

234 | 3 is less than 5, so round down | 200 |

289 | 8 is 5 or more, so round up | 300 |

250 | 5 is 5 or more, so round up | 300 |

34 | 3 is less than 5, so round down | 0 |

72 | 7 is 5 or more, so round up | 100 |

1462 | 6 is 5 or more, so round up | 1500 |

5914 | 1 is less than 5, so round down | 5900 |

6987 | 9 is 5 or more, so round up | 7000 |

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