X Tables
Place Value

Why carrying works

Explain carrying as regrouping, not magic movement between columns.

Quick answer

Carrying works because when you add numbers and get more than 9 in any column, you're actually regrouping 10 of something into a bigger group. It's like trading 10 pennies for 1 pound coin – you still have the same value, just in a different way.

Learning outcome

By the end of this page, you will understand that carrying in addition is really just regrouping 10 ones into 1 ten, 10 tens into 1 hundred, and so on – not magic movement between columns. Success signs:
  • You can explain why carrying happens when adding numbers
  • You can show how 10 ones become 1 ten using objects or drawings
  • You can add two-digit numbers with carrying and explain what you did
  • You can tell a grown-up how carrying works using your own words

Why this matters

Understanding carrying helps you add bigger numbers correctly. It's useful in everyday life when you're shopping, cooking, or counting things. When you use a calculator or do math in your head, you're still using the same principles. It's also the foundation for learning more advanced maths like long multiplication and algebra.

How it works

Carrying happens when you add numbers and get a total that's more than 9 in any column. Here's how it works step by step:
  1. Start by adding the numbers in the ones column
  2. If the answer is 10 or more, you need to carry
  3. Take 10 of those ones and regroup them into 1 ten
  4. Write the remaining ones below the line
  5. Carry the ten to the next column (tens)
  6. Add the tens column including any carried number
  7. Repeat if needed for hundreds, thousands, etc.

Examples you can see

Let's look at adding 28 + 15 using carrying:
Ones column Tens column
8 + 5 = 13 2 + 1 = 3
Write 3 in ones place Carry 1 to tens place
3 + 1 = 4 Write 4 in tens place
Try this with objects: Use 28 counters and 15 counters. Put them in groups of 10. You'll see you have 4 tens and 3 ones, so 43 total. Another example: Adding 47 + 36:
  • 7 + 6 = 13 ten and 3 ones
  • 4 + 3 + 1 = 8 tens
  • Answer: 83

Try it as a mini adventure

Adventure: The Treasure Hunt You're on a treasure hunt and need to find the number that equals 34 + 28. But there's a twist – you can only carry 10 coins at a time. You start with 34 coins and find 28 more.
  1. First, count your ones: 4 + 8 = 12 ones
  2. Since you can only carry 10, you make 1 group of 10 and keep 2
  3. Now you have 1 ten and 2 ones
  4. Next, count your tens: 3 + 2 = 5 tens
  5. Add your carried ten: 5 + 1 = 6 tens
  6. Your treasure is 62 coins!
Real-world example: Imagine you're at a football match. You have 24 tickets for the first game and 18 tickets for the second game. How many tickets do you have in total?
  • 24 + 18 = ?
  • 4 + 8 = 12 = 1 ten + 2 ones
  • 2 + 1 + 1 = 4 tens
  • Total = 42 tickets

Common mistakes

  • Mistake: Forgetting to add the carried number to the next column
    Why it happens: Kids might think the carried number is "used up" and not needed anymore
    Fix: Remind them to write the carried number above the next column and add it in
  • Mistake: Carrying 1 from the ones column to the tens column but forgetting to add it to the tens
    Why it happens: Confusion about what the carried number means
    Fix: Use physical objects or drawings to show that 10 ten
  • Mistake: Thinking you can carry from any column to any column
    Why it happens: Not understanding that carrying only happens when you have 10 or more in a column
    Fix: Focus on the column where you have more than 9, then carry to the next column

Parent and carer guide

You can help your child understand carrying by:
  • Using physical objects like counters, blocks, or coins to show regrouping
  • Explaining that carrying is just trading – like exchanging 10 pennies for 1 pound coin
  • Practicing with simple addition problems and asking them to explain what they did
  • Reinforcing that the carried number must be added to the next column
  • Using real-life examples like shopping or cooking to show why addition matters
  • Being patient and encouraging – mistakes are part of learning
What to watch for:
  • Does your child understand that 10 ones make 1 ten?
  • Do they remember to add the carried number to the next column?
  • Can they explain why carrying happens?
  • Are they comfortable with 2-digit addition?

Practice questions

  1. 37 + 26 = ?
  2. 48 + 34 = ?
  3. 59 + 23 = ?
  4. 62 + 19 = ?
  5. 74 + 28 = ?
  6. 83 + 17 = ?
  7. 91 + 25 = ?
  8. 36 + 47 = ?
  9. 52 + 38 = ?
  10. 64 + 29 = ?
Answers:
  1. 63
  2. 82
  3. 82
  4. 81
  5. 102
  6. 100
  7. 116
  8. 83
  9. 90
  10. 93

FAQ

What does carrying mean in maths?

Carrying means regrouping 10 of something into a bigger group. When you add numbers and get more than 9 in any column, you carry 10 of those to the next column to make a larger group.

Why do we carry instead of just writing the big number?

We carry because it helps us keep track of place value. Each column has a special name – ones, tens, hundreds, etc. Carrying keeps the numbers in the right columns so we don't mix them up.

Can you carry more than once?

Yes! Sometimes you carry from the ones column, and then carry again from the tens column. For example, 99 + 1 = 100 – you carry from ones to tens, then from tens to hundreds.

Is carrying the same as borrowing?

No, carrying and borrowing are different. Carrying happens when adding and moves numbers to the next column. Borrowing happens when subtracting and moves numbers from the next column to the current one.

How can I practice carrying at home?

Use everyday objects like coins, counters, or blocks. Try adding up your shopping bills, counting coins, or making groups of 10 from smaller groups. You can also practice with simple addition problems using paper and pencil.