Age 10 guide to large numbers

Quick answer

By the end of this page, you'll understand how to read, write, and compare large numbers up to 1,000,000, using place value and real-life examples.

Learning outcome

By the end of this page, you will be able to:

• Read and write numbers up to 1,000,000
• Compare large numbers using symbols like <, >, and =
• Understand how place value works with numbers up to millions
• Use large numbers in everyday situations like counting money or measuring distances

Why this matters

Large numbers help us understand the world around us. When you're at the shop and see prices like £125, or when you're looking at how many people live in a big city, you're using large numbers. Learning to work with large numbers helps you solve problems, make comparisons, and understand how much things really cost or how far you've gone.

Knowing how to handle large numbers will help you in school when you learn about money, time, distance, and science. It's also useful when you're planning a party, saving up for something special, or even when you're playing games where you need to count your points!

How it works

Numbers get bigger as you move from right to left. Each position has a special name and value:

1. Ones place (rightmost) – 1, 2, 3, 4, 5, 6, 7, 8, 9
2. Tens place – 10, 20, 30, 40, 50, 60, 70, 80, 90
3. Hundreds place – 100, 200, 300, 400, 500, 600, 700, 800, 900
4. Thousands place – 1,000, 2,000, 3,000, 4,000, 5,000, 6,000, 7,000, 8,000, 9,000
5. Ten thousands place – 10,000, 20,000, 30,000, 40,000, 50,000, 60,000, 70,000, 80,000, 90,000
6. Hundred thousands place – 100,000, 200,000, 300,000, 400,000, 500,000, 600,000, 700,000, 800,000, 900,000
7. Millions place – 1,000,000 (one million)

Examples you can see

Let's look at how to write the number 345,678:

So 345,678 means 3 hundred thousands + 4 ten thousands + 5 thousands + 6 hundreds + 7 tens + 8 ones.

Let's compare two large numbers: 456,789 and 456,790

• Start from the left: both numbers have 4 hundred thousands
• Both have 5 ten thousands
• Both have 6 thousands
• Both have 7 hundreds
• But 456,789 has 8 tens and 456,790 has 9 tens
• So 456,789 < 456,790

Imagine you're planning a school trip. You need to know how many people are going. If 342,156 children went to one school and 342,157 went to another, which school had more children? The second school had more because 342,157 > 342,156.

Try it as a mini adventure

Imagine you're going on a treasure hunt in a big park. The treasure map shows these clues:

1. Start at the big oak tree. Walk 10,000 steps.
2. Then walk 20,000 steps.
3. Then walk 30,000 steps.
4. Then walk 40,000 steps.
5. Then walk 50,000 steps.
6. Finally, walk 60,000 steps to find the treasure!

How many steps in total? Let's add them up:

• 10,000 + 20,000 = 30,000 steps
• 30,000 + 30,000 = 60,000 steps
• 60,000 + 40,000 = 100,000 steps
• 100,000 + 50,000 = 150,000 steps
• 150,000 + 60,000 = 210,000 steps

Wow! That's 210,000 steps to find the treasure! That's a long walk!

Common mistakes

• Mistake: Writing 100,000 as 100000 (missing comma)
• Why it happens: Kids may forget that commas are used to separate thousands.
• Fix: Always remember to put commas every three digits from the right.

• Mistake: Comparing numbers by looking at the first digit only
• Why it happens: When numbers are similar, children might think the first digit decides everything.
• Fix: Always compare from left to right, checking each place value.

• Mistake: Adding zeros incorrectly when writing numbers
• Why it happens: Confusion between place values and how many zeros to write.
• Fix: Practice with place value charts and use base-10 blocks to see how many zeros are needed.

Parent and carer guide

Helping your child with large numbers doesn't have to be hard. Here are 5 simple ways to support learning:

1. Count together: When shopping, count items in groups of 10, 100, or 1000. For example, "We have 300 apples in the bag, and we need 500 more. How many will we have?"
2. Use real examples: Talk about large numbers in everyday life – like how many people live in your city, or how much money you have in your piggy bank.
3. Play number games: Use dice to create large numbers. Roll 6 dice and make the largest number possible with the digits.
4. Use place value charts: Draw a chart with columns for ones, tens, hundreds, thousands, and so on. Have your child place numbers in the correct columns.
5. Be patient: It's normal for children to make mistakes. Celebrate small wins and focus on understanding, not just getting the right answer.

Watch out for your child getting confused between the number of digits and the value of the number. For example, 1,000 is bigger than 999, even though 999 has more digits.

Practice questions

1. Write the number 456,789 in words.
2. Which is larger: 345,678 or 345,687?
3. How many hundreds are in 789,456?
4. What is 100,000 + 200,000 + 300,000?
5. Write 567,890 in expanded form.

Answers:

1. Four hundred and fifty-six thousand, seven hundred and eighty-nine
2. 345,687 is larger
3. There are 4 hundreds in 789,456
4. 600,000
5. 500,000 + 60,000 + 7,000 + 800 + 90

FAQ

What is the biggest number I need to know for Year 5?

For Year 5, you should know numbers up to 1,000,000 (one million). This includes reading, writing, comparing, and ordering numbers with up to 6 digits.

How can I help my child understand place value?

Use base-10 blocks or drawings to show how many ones, tens, hundreds, thousands, and so on make up a large number. You can also use a place value chart to help organize the digits.

Why do we use commas in large numbers?

Commas help us read large numbers more easily. They separate the number into groups of three digits, making it easier to see how many thousands, millions, etc. there are.

What's the difference between 100,000 and 1,000,000?

1,000,000 is ten times bigger than 100,000. It's one million compared to one hundred thousand.

How do I compare numbers when they have the same digits?

When numbers have the same digits, start comparing from the leftmost digit. If that's the same, move to the next digit to the right until you find a difference.