Rounding to the nearest 10,100, 1000
What is rounding to 10, 100 and 1000?
How to round numbers to the nearest 10
Rounding to the nearest 10, 100 and 1000 worksheet
Rounding to 10 examples
↓
1) rounding numbers to the nearest 102) example 2: rounding numbers to the nearest 10
How to round numbers to the nearest 100
Rounding to 100 examples
↓
3) rounding numbers to the nearest 1004) rounding numbers to the nearest 100
How to round numbers to the nearest 1000
Rounding to 1000 examples
↓
5) rounding numbers to the nearest 10006) word problem
Common misconceptions
Related lessons
Practice rounding to the nearest 10, 100 and 1000 questions
Rounding to the nearest 10, 100 and 1000 GCSE questions
Learning checklist
Next lessons
Still stuck?
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In order to access this I need to be confident with:
Place value Multiples
This topic is relevant for:
Rounding to the nearest 10,100, 1000
What is rounding to 10, 100 and 1000?
How to round numbers to the nearest 10
Rounding to the nearest 10, 100 and 1000 worksheet
Rounding to 10 examples
↓
1) rounding numbers to the nearest 102) example 2: rounding numbers to the nearest 10
How to round numbers to the nearest 100
Rounding to 100 examples
↓
3) rounding numbers to the nearest 1004) rounding numbers to the nearest 100
How to round numbers to the nearest 1000
Rounding to 1000 examples
↓
5) rounding numbers to the nearest 10006) word problem
Common misconceptions
Related lessons
Practice rounding to the nearest 10, 100 and 1000 questions
Rounding to the nearest 10, 100 and 1000 GCSE questions
Learning checklist
Next lessons
GCSE Maths Number Rounding Numbers
Rounding To The Nearest 10, 100, 1000
Here we will learn about rounding numbers to the nearest
There are also rounding worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.
What is rounding to 10, 100 and 1000
Rounding to the nearest
We need to identify the number to the right of the tens, hundreds or thousands column depending on what we are rounding to.
If this number less than
If this number is
E.g.
Round
The number to the right of the tens column is
So
E.g.
Round
The number to the right of the hundreds column is
So
E.g.
Round
The number to the right of the thousands column is
So
Let’s quickly recap place value by looking at the
It can be split into
Thousands | Hundreds | Tens | Ones | Tenths |
1 | 2 | 4 | 5 | 0 |
Using a place value chart can help us to identify the place value of the digits when we are rounding to the nearest
What is rounding to 10, 100 and 1000?
How to round numbers to the nearest 10
In order to round to the nearest
- Check if the number is a multiple of
10 , if it is, do nothing. - If the ones digit is less than
5 , round down to the previous10 . - If the ones digit is
5 or more than5 , round up to the next10 .
Rounding to the nearest 10, 100 and 1000 worksheet
Get your free rounding to the nearest 10, 100 and 1000 worksheet of 20+ questions and answers. Includes reasoning and applied questions.
COMING SOON
Rounding to the nearest 10, 100 and 1000 worksheet
Get your free rounding to the nearest 10, 100 and 1000 worksheet of 20+ questions and answers. Includes reasoning and applied questions.
COMING SOON
Rounding to 10 examples
Example 1: rounding numbers to the nearest 10
Round
- Check the number is already a multiple of
10 , if it is, do nothing.
2If the ones digit is less than
The digit to the right of the tens digit is the ones digit which is
This means that we round down to the previous
This means that the tens digit will stay the same and the ones digit will become
So
Example 2: rounding numbers to the nearest 10
Round
Check if the number is a multiple of
If the ones digit is
The ones digit (the digit to the right of the tens digit) is
which is more than
.
This means that we round up to the next
.
We need to add
to the tens digit and change the ones digit to zero.
Therefore the
will become a
.
So
How to round numbers to the nearest 100
In order to round to the nearest
- Check if the number is a multiple of
100 , if it is, do nothing. - If the tens digit is less than
5 , round down to the previous100 . - If the tens digit is
5 or more than5 , round up to the next100 .
Rounding to 100 examples
Example 3: rounding numbers to the nearest 100
What is
Check if the number is a multiple of
If the tens digit is
The tens digit (the digit to the right of the hundreds digit) is
This means that we round up to the next
We need to add
So
Example 4: rounding numbers to the nearest 100
What is
Check if the number is a multiple of
350 is a multiple of 10 but not a multiple of 100, so we will move on to step 2.
If the tens digit is
The tens digit (the digit to the right of the hundreds digit) is
This means that we round up to the next
We need to add
Therefore the
So
How to round numbers to the nearest 1000
In order to round to the nearest
- Check if the number is a multiple of
1000 , if it is, do nothing. - If the hundreds digit is less than
5 , round down to the previous1000 . - If the hundreds digit is
5 or more than5 , round up to the next1000 .
Rounding to1000examples
Example 5: rounding numbers to the nearest 1000
Round
Check if the number is a multiple of
If the hundreds digit is less than
The hundreds digit (the digit to the right of the thousands digit) is
This means that we round down to the previous
This means that the thousands digit will stay the same and the hundreds, tens and ones digits will become zeros.
So
Example 6: word problem
There are
Check if the number is a multiple of
If the hundreds digit is
The hundreds digit is
So
Common misconceptions
- The number
5
Most mistakes occur when dealing with the number
On a number line it is in the middle so it is easier to think you can go in either direction however you must round up.
E.g.
15 rounded to the nearest10 is20 .857 rounded to the nearest100 is900 .3520 rounded to the nearest1000 is4000 .
- Which digit to look at
When rounding to the nearest
E.g.
Round
With this question we need to look at the tens digit.
In this example the tens digit is
Rounding to the nearest 10, 100 and 1000 is part of our series of lessons to support revision on rounding numbers. You may find it helpful to start with the main rounding numbers lesson for a summary of what to expect, or use the step by step guides below for further detail on individual topics. Other lessons in this series include:
- Rounding numbers
- Decimal places
- Truncation
- Place value
- Rounding decimals
- Significant figures
- Estimation
Practice rounding to the nearest 10, 100 and 1000 questions
1. Round 212.65 to the nearest 10.
210
10
200
212.7
The ones digit is 2 , which is less than 5 , so we round down to the previous 10 . Therefore the answer is 210 .
There are 563 spectators at a snooker match. Josh states ‘There were approximately 600 people there.’ Phil states ‘There were about 500 people there. Who has correctly rounded to the nearest 100 ?
Phil
Josh
Neither of them
Either could be correct
The tens digit is 6 , which is greater than 5 , so we round up to the next 100 . The answer is 600 .
3. Round 1236 to the nearest hundred.
1000
200
1300
1200
The tens digit is 3 , which is less than 5 , so we round down to the previous 100 . The answer is 1200 .
4. During a football match between Manchester United and Watford FC there were 16,543 fans in attendance. What is this number rounded to the nearest thousand?
20,000
10,000
16,000
17,000
The hundreds digit is 5 so we round up to the next thousand so the answer is 17,000 .
5. The mileage on a car is showing 56,734 miles. What is this number rounded to the nearest thousand?
60,000
50,000
57,000
56,000
The hundreds digit is 7 , which is greater than 5 , so we round up to the next 1000 . Therefore the answer is 57,000 .
6. A florist sells 60 bouquets rounded to the nearest 10 on Saturday. What is the maximum number of bouquets she could have sold?
60
69
64
55
The number of bouquets needs to round down to 60 (to the nearest 10 ). We know that numbers with a 5 and above round up and numbers below 5 round down.
The numbers that will round down to 60 are 61, 62, 63 and 64 .
So the biggest number that will round down to 60 is 64 .
Rounding to the nearest 10, 100 and 1000 GCSE questions
1.(a) Write the number thirty thousand, three hundred and seven in figures.
(b) Round this number to the nearest 10 .
(2 marks)
Show answer
a) 30, 307
(1)
b) 30, 310
(1)
2. (a) What is the value of 636,213 rounded to the nearest thousand?
(b) If I instead rounded to the nearest hundred, what would be the difference in my two answers.
(3 marks)
Show answer
a) 636,000
(1)
b) 636,200
(rounding to the nearest hundred)
(1)
636,200 – 636,000 = 200
(correct subtraction)
(1)
3. Tim thinks of a number and rounds it to the nearest 10 . His number is 50 .
(a) What is the smallest possible whole number he could have thought of?
(b) What is the largest possible whole number he could have thought of?
(2 marks)
Show answer
a) 45
(1)
b) 54
(1)
Learning checklist
You have now learned how to:
- Round numbers to the nearest 10, 100 and 1000.
The next lessons are
- Decimals
- Percentage of an amount
- Comparing fractions, decimals and percentages
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Rounding to the nearest 10,100, 1000
What is rounding to 10, 100 and 1000?
How to round numbers to the nearest 10
Rounding to the nearest 10, 100 and 1000 worksheet
Rounding to 10 examples
↓
1) rounding numbers to the nearest 102) example 2: rounding numbers to the nearest 10
How to round numbers to the nearest 100
Rounding to 100 examples
↓
3) rounding numbers to the nearest 1004) rounding numbers to the nearest 100
How to round numbers to the nearest 1000
Rounding to 1000 examples
↓
5) rounding numbers to the nearest 10006) word problem
Common misconceptions
Related lessons
Practice rounding to the nearest 10, 100 and 1000 questions
Rounding to the nearest 10, 100 and 1000 GCSE questions
Learning checklist
Next lessons
Still stuck?
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