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πŸ”’ 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 β€œregroup” or β€œcarry 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 β€” 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.

πŸ“š Another Example

Add 58 + 27:

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

πŸ’‘ 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! πŸ’ͺ

πŸ“ 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


πŸ“– 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! πŸŽ‰

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