Solve Vertical Subtraction: 227 minus 8 Step-by-Step

Vertical Subtraction with Borrowing from Tens

227    8776 \begin{aligned} &227 \\ -& \\ &~~~~8 \\ &\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 borrowing 2 digits, and then we'll place
00:06 7 is less than 8
00:09 Therefore we'll subtract 1 from the tens and add this amount to the ones
00:15 So now instead of 7 we'll have 17
00:19 Subtract the ones from the ones plus the ten
00:22 Place in the ones column
00:25 Place 0 in the borrowed digits
00:29 Subtract tens from tens, and place in tens column
00:32 Subtract hundreds from hundreds, and place in hundreds column
00:36 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

227    8776 \begin{aligned} &227 \\ -& \\ &~~~~8 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we need to perform the vertical subtraction of 8 8 from 227 227 . Let's break down the steps:

  • Step 1: Write the subtraction problem in column form: Place 227 227 above 8 8 , aligning the digits on the right.
  • Step 2: Perform the subtraction starting from the rightmost digit (the units place).
    • The units digit of the minuend is 7 7 and the subtrahend is 8 8 . Since 7<8 7 < 8 , we need to borrow:
    • Borrow 1 from the tens place (turning the 2 2 into 1 1 ), making it 17 17 instead of 7 7 .
    • 178=9 17 - 8 = 9 . Write the 9 9 below the line in the units place.
  • Step 3: Move to the tens digit:
    • After borrowing, the digit left in the tens place of the minuend is 1 1 .
    • Subtract: 10=1 1 - 0 = 1 (since there is no subtrahend digit in the tens place).
  • Step 4: Move to the hundreds digit:
    • The hundreds digit is 2 2 and since we haven't changed it, it remains 2 2 .
    • Since there are no digits to subtract from in the hundreds place, the digit remains 2 2 .

Now, combining the results from each digit, the final answer becomes 219 219 .

Therefore, the solution to the problem is 219 219 .

3

Final Answer

219

Key Points to Remember

Essential concepts to master this topic
  • Borrowing Rule: When units digit is smaller, borrow from tens place
  • Technique: Convert 7 to 17 by borrowing 1 from tens: 178=9 17 - 8 = 9
  • Check: Add your answer back: 219+8=227 219 + 8 = 227 matches original ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting larger digit from smaller without borrowing
    Don't try to subtract 8 from 7 directly = negative result or wrong digit! This ignores place value rules and creates impossible answers. Always borrow from the next higher place value when the top digit is smaller.

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 7 - 8 = -1?

+

In standard subtraction, we don't write negative digits! When the top digit is smaller, you must borrow from the next column to make it bigger before subtracting.

How do I remember which direction to borrow from?

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Always borrow from the left (higher place value). Think: tens help units, hundreds help tens. The bigger place value always helps the smaller one!

What happens to the digit I borrow from?

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It decreases by 1! In this problem, the tens digit changed from 2 2 to 1 1 after lending to the units place.

Can I check my subtraction answer?

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Always check! Add your answer to the number you subtracted: 219+8=227 219 + 8 = 227 . If you get the original number, you're correct!

What if there's no digit to borrow from?

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If the tens place is 0, you'll need to keep borrowing leftward until you find a non-zero digit. Each 0 becomes 9 as you borrow through it!

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