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🔢 Detailed Explanation of Adding Two-Digit Numbers with Regrouping

When you add two-digit numbers, sometimes the total in the ones column is more than 9. This means you need to “regroup” or “carry over” to the tens column. Regrouping helps you keep your numbers correct when adding.

✍️ Step-by-Step Instructions for Adding Two-Digit Numbers with Regrouping

Let’s add 47 + 36 as an example.

  1. Write the numbers one under the other: 
      47
+ 36
----

    Make sure the ones are under ones and the tens under tens.

  2. Add the ones column first:
    Add 7 (ones in 47) and 6 (ones in 36).
    7 + 6 = 13
  3. Regroup the ones:
    Since 13 is more than 9, write 3 in the ones place below the line.
    Now, the 1 in 13 is not just a number — it becomes 1 ten. This 1 ten needs to be carried over to the tens column.
  4. Add the tens column:
    Add the tens digits: 4 (tens in 47) + 3 (tens in 36) = 7.
    Now add the 1 ten you carried over.
    7 + 1 = 8
  5. Write the total:
    Write 8 in the tens place.
    So, the answer is 83.

❓ Why Do We Regroup?

We regroup because the ones column can only hold numbers 0 to 9. When the total is 10 or more, we must move some to the tens column to keep the place values correct.

📚 Another Example

Add 58 + 27:

  • Ones: 8 + 7 = 15 → Write 5, carry over 1 ten.
  • Tens: 5 + 2 = 7, plus 1 carried over = 8.
  • Total: 85

💡 Tips to Help You Practice Regrouping

  • Always start adding from the ones column.
  • Remember to carry over if the sum is more than 9.
  • Write the carried number above the tens column to remind yourself.
  • Check your work by estimating: 40 + 30 is about 70, so the answer should be close.

Understanding how to add two-digit numbers with regrouping is important for solving bigger maths problems, so practise lots to get confident! 💪

📝 20 Examination-Style Questions with Answers for Adding Two-Digit Numbers with Regrouping

Here are 20 practice questions on how to add two-digit numbers with regrouping, perfect for Year 3 students in Key Stage 2. Each question includes a clear solution to help you check your work and understand the steps.

Question 1

45 + 38 = ?

Solution:
5 + 8 = 13 (write 3, carry 1)
4 + 3 + 1 = 8
Answer: 83

Question 2

57 + 26 = ?

Solution:
7 + 6 = 13 (write 3, carry 1)
5 + 2 + 1 = 8
Answer: 83

Question 3

64 + 29 = ?

Solution:
4 + 9 = 13 (write 3, carry 1)
6 + 2 + 1 = 9
Answer: 93

Question 4

48 + 37 = ?

Solution:
8 + 7 = 15 (write 5, carry 1)
4 + 3 + 1 = 8
Answer: 85

Question 5

73 + 19 = ?

Solution:
3 + 9 = 12 (write 2, carry 1)
7 + 1 + 1 = 9
Answer: 92

Question 6

29 + 46 = ?

Solution:
9 + 6 = 15 (write 5, carry 1)
2 + 4 + 1 = 7
Answer: 75

Question 7

55 + 38 = ?

Solution:
5 + 8 = 13 (write 3, carry 1)
5 + 3 + 1 = 9
Answer: 93

Question 8

68 + 27 = ?

Solution:
8 + 7 = 15 (write 5, carry 1)
6 + 2 + 1 = 9
Answer: 95

Question 9

44 + 39 = ?

Solution:
4 + 9 = 13 (write 3, carry 1)
4 + 3 + 1 = 8
Answer: 83

Question 10

31 + 58 = ?

Solution:
1 + 8 = 9 (no carry)
3 + 5 = 8
Answer: 89

Question 11

76 + 29 = ?

Solution:
6 + 9 = 15 (write 5, carry 1)
7 + 2 + 1 = 10 (write 0, carry 1)
Answer: 105

Question 12

54 + 47 = ?

Solution:
4 + 7 = 11 (write 1, carry 1)
5 + 4 + 1 = 10 (write 0, carry 1)
Answer: 101

Question 13

62 + 39 = ?

Solution:
2 + 9 = 11 (write 1, carry 1)
6 + 3 + 1 = 10 (write 0, carry 1)
Answer: 101

Question 14

49 + 53 = ?

Solution:
9 + 3 = 12 (write 2, carry 1)
4 + 5 + 1 = 10 (write 0, carry 1)
Answer: 102

Question 15

38 + 67 = ?

Solution:
8 + 7 = 15 (write 5, carry 1)
3 + 6 + 1 = 10 (write 0, carry 1)
Answer: 105

Question 16

27 + 59 = ?

Solution:
7 + 9 = 16 (write 6, carry 1)
2 + 5 + 1 = 8
Answer: 86

Question 17

65 + 48 = ?

Solution:
5 + 8 = 13 (write 3, carry 1)
6 + 4 + 1 = 11
Answer: 113

Question 18

53 + 49 = ?

Solution:
3 + 9 = 12 (write 2, carry 1)
5 + 4 + 1 = 10 (write 0, carry 1)
Answer: 102

Question 19

70 + 35 = ?

Solution:
0 + 5 = 5
7 + 3 = 10
Answer: 105

Question 20

41 + 58 = ?

Solution:
1 + 8 = 9 (no carry)
4 + 5 = 9
Answer: 99

📖 Study Tips for Adding Two-Digit Numbers with Regrouping

  • Always start by adding the ones place digits first.
  • If the sum is more than 9, write down the right digit and carry the left digit to the tens place.
  • Add the tens place digits with the carry if you have one.
  • Practice these steps with different numbers until you feel confident.

Keep practising, and you will find adding two-digit numbers with regrouping much easier! 🎉

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