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Detailed Explanation of Subtracting Two-Digit Numbers with Regrouping 🧮

When you subtract two-digit numbers and the number on the top is smaller than the number below in the ones place, you need to use a method called regrouping or borrowing. This helps you to subtract more easily. Let’s look at how to subtract two-digit numbers with regrouping step-by-step.

What is regrouping in subtraction? 🔄

Regrouping means taking 1 ten from the tens column and adding it to the ones column so that the top number in the ones column is bigger and you can subtract.

Step-by-step method to subtract two-digit numbers with regrouping 📝

Let’s subtract 43 – 27.

  1. Write the numbers one under the other
    Put the bigger number on top and smaller number below, making sure the ones and tens are in columns:
        4 3  
      - 2 7
      
  2. Look at the ones column
    Can you subtract 7 from 3? No, because 3 is smaller than 7.
  3. Regroup from the tens column
    Take 1 ten from the 4 tens. Now, instead of 4 tens, you have 3 tens left.
    Add the ten you took to the 3 ones: 3 ones + 10 = 13 ones.
    Now your problem looks like this:
        3 13  
      - 2  7
      
  4. Subtract the ones
    13 – 7 = 6.
  5. Subtract the tens
    Now subtract the tens: 3 – 2 = 1.
  6. Write the answer
    So, 43 – 27 = 16.

Another example: 52 – 38 ➖

  1. Write numbers:
        5 2  
      - 3 8
      
  2. Ones column: 2 – 8? No, 2 is smaller.
  3. Regroup 1 ten from 5 tens: 5 tens become 4 tens.
    Add 10 to 2 ones: 2 + 10 = 12 ones.
    Now you have:
        4 12  
      - 3  8
      
  4. Subtract ones: 12 – 8 = 4
  5. Subtract tens: 4 – 3 = 1
  6. Answer is 14.

Tips for practising subtraction with regrouping 💡

  • Always start subtracting from the ones column.
  • If the top number in the ones is smaller, regroup from the tens column.
  • Remember to reduce the tens column by 1 after regrouping.
  • Practice with different questions to get comfortable.

Using regrouping helps you subtract tricky two-digit numbers easily and correctly. Keep practising and soon it will become simple! ✅

Examination-Style Questions on Subtracting Two-Digit Numbers with Regrouping with Answers 📚

Here are 20 examination-style questions on subtracting two-digit numbers with regrouping, perfect for Year 3 students at Key Stage 2. Each question helps you practise subtracting two-digit numbers where you need to borrow (regroup) from the tens. The answers are included for you to check your work and learn.

Questions: Subtract Two-Digit Numbers – With Regrouping ✏️

  1. 53 − 29 = ___
  2. 72 − 46 = ___
  3. 61 − 37 = ___
  4. 84 − 59 = ___
  5. 90 − 47 = ___
  6. 65 − 28 = ___
  7. 74 − 38 = ___
  8. 81 − 43 = ___
  9. 67 − 29 = ___
  10. 56 − 19 = ___
  11. 70 − 58 = ___
  12. 93 − 47 = ___
  13. 88 − 39 = ___
  14. 79 − 44 = ___
  15. 82 − 65 = ___
  16. 94 − 48 = ___
  17. 69 − 27 = ___
  18. 85 − 49 = ___
  19. 77 − 29 = ___
  20. 63 − 36 = ___

Answers ✔️

  1. 24
  2. 26
  3. 24
  4. 25
  5. 43
  6. 37
  7. 36
  8. 38
  9. 38
  10. 37
  11. 12
  12. 46
  13. 49
  14. 35
  15. 17
  16. 46
  17. 42
  18. 36
  19. 48
  20. 27

Try solving each subtraction carefully by borrowing from the tens when the number in the ones place of the top number is smaller than the bottom number. This is called regrouping, and it helps you to subtract correctly. If you get stuck, write the numbers vertically and remember to borrow one group of ten to add to the ones digit before subtracting. Keep practising, and you’ll get better and more confident! 💪

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