Add two 2-digit numbers with regrouping (carrying) from ones to tens.

Written by Dan

Year 3 Maths: Columnar Addition (2-Digit, With Regrouping)

Column Addition with Carrying!

Year 3: Adding 2-Digit Numbers (With Regrouping)

Time to Carry Over!

Add the ones. If the total is 10 or more, write the ones digit in the answer. Write the carried ten in the small box below the tens answer. Then, add all the tens, including the one you carried!

Practice Column Addition with Regrouping

Write your answers and any carried tens in the boxes.

Excellent regrouping! Keep up the fantastic work! 👍

Column Addition Power-Up: Time to Carry the Ten!

Hello Maths Superstars! You’ve done a brilliant job learning to add 2-digit numbers in columns when there’s no carrying. Now, get ready for the next exciting step: learning how to carry (or regroup) when the numbers in your ones column add up to 10 or more! It’s like giving an extra ten a special trip to the tens column.

What is “Carrying” in Column Addition?

When we add the ones column and the answer is 10 or more (like 12, 15, or 18), we can’t write two digits in the ones place of our main answer line. So, we “carry” the ten part of that number over to the tens column to be added in with the other tens. It’s all about understanding that 10 ones make 1 ten!

Let’s Add with Carrying: Example 37 + 25

Here’s how we do it:

Step 1: Set up your column addition. Write the numbers one above the other, lining up the tens and ones.

   T O  (T for Tens, O for Ones)
   3 7
+  2 5
------  (Draw a line for your answer)

Step 2: Add the Ones Column First. Look at the ‘Ones’ (O) column: 7 + 5. 7 + 5 = 12. Now, 12 has 1 ten and 2 ones. We write the 2 ones under the ones column. We “carry” the 1 ten over to the top of the tens column (some people write it small just above the first number in the tens column, or just below the tens column line to be added in next).

  (¹ )   <-- This is the carried 1 ten
   T O
   3 7
+  2 5
------
     2

Step 3: Add the Tens Column (including the carried ten!). Now look at the ‘Tens’ (T) column. We have 3 tens and 2 tens, PLUS the 1 ten we carried over. So, we add: 1 (carried ten) + 3 + 2 = 6 tens. Write the answer (6) directly below the tens column.

  (¹ )
   T O
   3 7
+  2 5
------
  6 2

So, 37 + 25 = 62! You’ve successfully used carrying!

Practice Carrying the Ten! (18 Questions)

Ready to become a carrying champion? Here are 18 column addition questions where you’ll need to add two 2-digit numbers and carry from the ones to the tens. Remember the steps: add the ones, carry if you need to, then add the tens (including your carry!).

(Your web app with the 18 questions will go here. The app should ideally visually support the carrying process or allow space for it.)

Why is Learning to Carry So Important?

  • It’s Key to Bigger Sums: You’ll use carrying for almost all larger addition problems.
  • Shows Place Value Power: It really shows you understand that 10 ones can be regrouped as 1 ten.
  • Makes You Accurate: Following the carrying rule helps you get the right answer every time.
  • Builds Maths Confidence: Mastering carrying is a big step and will make you feel great!

Tips for Grown-Ups: Explaining Carrying (Regrouping)

“Carrying” (or regrouping) is a pivotal concept in understanding column addition. It’s based on the principle that our number system is base-10. When the sum in a column reaches 10 or more, that group of 10 is “carried” as one unit to the next column to the left.

  • Use Concrete Materials First: Base-ten blocks are excellent for this. Show children how 10 individual “ones” blocks can be exchanged for one “ten” rod. Physically move the “ten” rod to the tens column when adding.
  • Clear Visual for Carrying: Decide on a consistent place to write the carried digit (e.g., small, above the tens column, or just below the answer line in the tens column before the final sum for that column is written).
  • Verbalise Each Step Clearly: “7 plus 5 is 12. That’s 2 ones and 1 ten. I write the 2 in the ones place, and I carry the 1 ten over to the tens column. Now I add the tens: 1 plus 3 plus 2 equals 6 tens.”
  • Lots of Practice: This concept can take a little while to become automatic. Plenty of varied examples are helpful.

About The Author

I'm Dan Higgins, one of the faces behind The Teaching Couple. With 15 years in the education sector and a decade as a teacher, I've witnessed the highs and lows of school life. Over the years, my passion for supporting fellow teachers and making school more bearable has grown. The Teaching Couple is my platform to share strategies, tips, and insights from my journey. Together, we can shape a better school experience for all.

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