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Rounding Large Numbers: Free Printable Worksheet for Year 5
- ForYear 5
- StageKey Stage 2
- CostFree
- FormatPrintable PDF
Rounding Large Numbers is a free printable maths worksheet for Year 5 (ages 9 to 10), in Key Stage 2. Children round five digit numbers to the nearest 10 000 and six digit numbers to the nearest 100 000. It takes about 15 minutes, needs only a pencil, and page 2 gives the grown up notes, help ideas, a stretch task and the answers.
It comes from the Mini Minds Hub, the free library of printables from Jaques of London, the British games and toy company that has been making games for families since 1795. Print both pages, give page 1 to your child and keep page 2 for yourself. Black and white printing works well.
What is on the sheet
Children work through numbered questions with space to write each answer. They begin with five digit numbers and round them to the nearest 10 000. Then they move on to six digit numbers and round them to the nearest 100 000. Each question asks them to decide which digit matters, so they have to read the number carefully and think about place value before they write anything down.
- Round 34,567 to the nearest 10 000
- Round 68,420 to the nearest 10 000
- Round 12,499 to the nearest 10 000
- Round 95,100 to the nearest 10 000
- Round 234,500 to the nearest 100 000
- Round 650,000 to the nearest 100 000
- Round 478,213 to the nearest 100 000
- Round 849,999 to the nearest 100 000
A worked example
Round 72,816 to the nearest 10 000.
This question is different from the ones on the sheet. It shows two ways children can think.
Method 1: underline and circle- Find the ten thousands place. Underline the 7.
- Circle the digit next to it, the 2. This is the thousands digit and it decides what happens.
- 2 is less than 5, so the 7 stays the same.
- Write zeros in every place to the right: 70,000.
- Draw a line from 70,000 to 80,000. Halfway is 75,000.
- Mark 72,816. It sits before the halfway point.
- It is closer to 70,000 than to 80,000, so it rounds to 70,000.
Building understanding of rounding
Start with place value
Before rounding, children need to know what each digit is worth. Build the number on a place value chart and say it aloud, one column at a time.
Find the digit to round
Underline the digit in the place you are rounding to. Then look only at the digit just to its right. That is the one that decides.
Use the 5 rule
If the deciding digit is 5 or more, the underlined digit goes up by one. If it is 4 or less, it stays the same. Everything to the right becomes zero.
Check with a number line
Place the number between two round numbers. Ask which one it is closer to. This shows why the rule works, so it is not just a trick to remember.
Why do we round numbers?
Rounding swaps an exact number for a nearby one that is easier to say, remember and use. A rounded number is not the same as the original, but it is close enough for many jobs. We round to give a quick idea of size, to compare numbers and to make a rough guess before a calculation.
Children in Year 5 work with numbers up to one million. These can feel enormous, so rounding gives a way to get a feel for them. Choosing a nearest 10 000 or 100 000 also helps children see how place value is built, with each place worth ten times the one before.
Skills and curriculum link
- Place value
- Rounding
- Large numbers
- Reading digits carefully
- Explaining reasoning
This sheet supports the area below. It is matched to the published England framework. Please check it against your own school plan.
| Framework | Subject or area | Strand | Year |
|---|---|---|---|
| National Curriculum (England) | Maths | Number and place value | Year 5 |
What children will be able to do
- I can round five digit numbers to the nearest 1,000.
- I can round six digit numbers to the nearest 10,000 or 100,000.
- I can say which digit decides how to round.
Ideas to help you support your child
- Use a place value chartWrite the number in the chart so each digit sits in its own column. Children can then point to the place they are rounding to.
- Say the rule aloudChant it together: 5 or more, round up. 4 or less, round down. Saying it helps it stick.
- Draw a number lineMark the two round numbers either side and the halfway point. Place the number and see which end it is nearer.
- Ask why, not just whatAsk which digit decided the answer and why the digits to its right became zeros. Explaining shows real understanding.
Key words
- RoundTo change a number to a nearby one that is simpler, such as a multiple of 10 000.
- NearestThe closest one. Rounding to the nearest 10 000 means picking the multiple of 10 000 that is closest.
- DigitOne of the symbols 0 to 9 used to write a number.
- Place valueThe value a digit has because of where it sits in a number.
- EstimateA sensible guess that is close to the exact answer.
- Multiple of 10 000A number you reach by counting in steps of 10 000, such as 20 000 or 90 000.
How to use it
- Print both pages. Page 1 is for your child. Keep page 2, which has the notes and answers.
- Read the first question together. Ask your child to say what place they are rounding to.
- Show them how to underline that digit and circle the one next to it. Then let them decide whether to round up or down.
- Check against page 2 together. Ask, "Which digit decided it?" The reasoning matters as much as the answer.
- Come back another day and redo any that felt tricky. Repeating a familiar sheet builds confidence.
Help, stretch and game ideas
If it feels too hard
Underline the digit being rounded, then circle the digit next to it. Only the circled digit decides. If it is 5 or more, round up. If it is 4 or less, round down. Keep a place value chart beside the page.
To stretch confident children
Write three six digit numbers that round to 300 000. Then try to find the smallest and the largest whole numbers that would work. Explain to a grown up how you know that nothing outside your range can round to 300 000.
Make it a game
Write the digits 0 to 9 on small slips of paper. Draw five and make a five digit number. Both players round it to the nearest 10 000, then check on a number line. Score a point for each correct answer.
Mistakes to watch for
Watch forA child looks at the last digit instead of the digit next to the one being rounded. With 31,985 they say 40,000.
Try thisUnderline the ten thousands digit and circle only the thousands digit beside it. Cover the rest of the number with a finger so it cannot distract.
Watch forA child changes the deciding digit but leaves the others, so 72,816 becomes 70,816.
Try thisRemind them that everything to the right of the rounded digit turns to zero. Use a place value chart and clear the columns on the right.
Watch forA child writes the wrong number of zeros. Rounding 412,300 to the nearest 100 000, they write 40,000.
Try thisAsk them to say the answer aloud, "four hundred thousand". Then write it on a place value chart to check the digits sit in the right columns.
Talk about it
- Which digit decides whether you round up or down, and why that one?
- What happens to the digits to the right of the one you are rounding?
- Can you show me where this number sits on a number line?
- When might you use a rounded number in real life?
- Why might a rounded number be more useful than an exact one?
- How would your answer change if you rounded to the nearest 100 000 instead?
Take it off the page
Chalk number line
Draw a long number line outside with chalk, marked in tens of thousands. Call out a number and let your child stand where it belongs, then step to the nearest mark.
Rounding hunt
Look for large numbers on packaging, in books or in newspapers. Ask your child to round each one to a sensible place and say why.
Digit cards
Make digit cards from scrap paper. Build a number, then swap two cards to see how the value changes. Round before and after.
Who it is for
Parents
Sit with your child for the first question, then let them lead. Short bursts of about 15 minutes work better than a long session. If they get stuck, ask them to underline and circle the digits.
Teachers
Use it as a starter, plenary, early finisher task, homework or table activity. It needs no preparation beyond printing. Page 2 gives support and stretch ideas for mixed ability groups, plus the answers.
Home educators
Print it as part of a wider maths plan and pair it with real life numbers, such as those on packaging or in books. It is free to print again for brothers and sisters or for revision a few weeks later.
Where this fits in the maths journey
Before this, children learn to round to the nearest 10, 100 and 1000. They also learn to read and write numbers with several digits and to understand what each digit is worth. Secure place value is the foundation for everything on this sheet.
After this, children use rounding to estimate answers and check calculations. In later years they work with even larger numbers and round to a chosen degree of accuracy. Rounding also leads into estimating with decimals and in real life problems.
Check it worked
Ask these when the sheet is finished. Listen for the reasoning, not just the answer.
- Which digit tells you whether to round up or down?
- Why does 450,000 round up?
- When might you use a rounded number in real life?
Questions parents and teachers ask
- What age is Rounding Large Numbers for?
It is written for Year 5 (ages 9 to 10), in Key Stage 2. It practises rounding five and six digit numbers, so it suits children who already know place value for numbers up to 1 000 000.
- What will children practise?
Children practise rounding five digit numbers to the nearest 10 000 and six digit numbers to the nearest 100 000. Along the way they use place value, read digits carefully and explain which digit decides whether to round up or down.
- How long does it take?
It takes about 15 minutes. Some children will be quicker and others will want longer to talk through their thinking. Page 2 has notes on how to use the sheet and ideas to make it easier or harder.
- What if my child finds it hard?
Ask them to underline the digit being rounded, then circle the digit next to it. Only the circled digit decides. A place value chart and a number line also help children see what is happening.
- Is it free?
Yes. It is free to print for home and classroom use. You can print it again for brothers, sisters or revision, and it works well in black and white on plain A4 paper.
- Can teachers use it in class?
Yes. Teachers can use it as a starter, plenary, early finisher task, homework or table activity. It needs no preparation beyond printing, and page 2 includes support, stretch and answers for mixed ability groups.
- Is it a screen free activity?
Yes. It needs only paper and a pencil, so it suits quiet time, rainy days and school holidays. Working by hand also gives children time to think and talk about their answers.
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Made by Jaques of London, making games for families since 1795. A printable supports classroom learning and does not replace a teacher.