Basic Arithmetic Practice: Two-Digit Minus Single-Digit Subtraction

Subtraction with Regrouping from Tens

88  9776 \begin{aligned} &88 \\ -& \\ &~~9 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time consider a shortage of 2 digits, and then place
00:06 3 is less than 7
00:09 Therefore subtract 1 from the tens and add this amount to the ones
00:15 Meaning now instead of 3 we will have 13
00:19 Subtract the ones from the ones plus the ten
00:22 Place in the ones
00:25 Place 0 in the missing digits
00:28 Subtract tens from tens, and place in tens
00:31 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

88  9776 \begin{aligned} &88 \\ -& \\ &~~9 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we will perform vertical subtraction with regrouping:

Step 1: Set up the subtraction vertically:

88   9  \begin{aligned} 88& \\ -~~~ 9& \\ \hline & \phantom{\ } \\ \end{aligned}

Step 2: Compare the unit places:

The units digit in 88 (8) is less than the units digit in 9 (9), necessitating regrouping.

Step 3: Regrouping:

  • Borrow 1 ten from the tens digit (8 tens becomes 7 tens).

  • Add that ten to the units digit, making it 1818 instead of 88.

Step 4: Perform the subtraction:

  • Subtract the units place: 189=918 - 9 = 9.

  • Subtract the tens place: 70=77 - 0 = 7, since the tens place in 9 is effectively 0.

Step 5: Combine the results.

The difference is 7979.

Thus, the solution to the subtraction problem is 7979.

3

Final Answer

79

Key Points to Remember

Essential concepts to master this topic
  • Rule: When units digit is smaller, borrow from tens place
  • Technique: Convert 8 to 18 by borrowing 1 ten: 18 - 9 = 9
  • Check: Add your answer to subtrahend: 79 + 9 = 88 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting smaller digit from larger digit without regrouping
    Don't subtract 8 - 9 = -1 or flip it to 9 - 8 = 1! This ignores place value and gives wrong answers like 81 or 11. Always borrow from the tens place when the units digit is too small.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &105 \\ -& \\ &~~~~3 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why can't I just subtract 8 - 9 and get 1?

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Because you can't take away 9 things when you only have 8! You need to borrow from the tens place first, turning your 8 ones into 18 ones.

How do I remember which direction to borrow?

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Always borrow from left to right - from a bigger place value to a smaller one. Think of it like breaking a 10billinto1010 bill into 10 1 bills when you need more ones.

What happens to the tens place when I borrow?

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The tens digit gets 1 smaller! In this problem, 8 tens becomes 7 tens because you 'spent' 1 ten to make 10 more ones.

How can I check if my regrouping is correct?

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Use addition to check subtraction! Add your answer (79) plus what you subtracted (9). If you get the original number (88), you're right!

What if the tens place becomes 0 after borrowing?

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That's perfectly normal! If you started with 1 in the tens place and borrowed 1, you'd have 0 tens left. Just write 0 or leave it blank in your final answer.

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