Solve Three-Digit Subtraction: 453 minus 269

Subtraction with Borrowing

453269776 \begin{aligned} &453 \\ -& \\ &269\\ &\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 we consider a shortage of 2 digits, and then we place
00:06 3 is less than 9
00:10 Therefore we subtract 1 from the tens and add this amount to the ones
00:15 So now instead of 3 we will have 13
00:19 Subtract the ones from the ones plus ten
00:23 Place in the ones
00:28 4 is less than 6
00:32 Therefore we subtract 1 from the hundreds and add this amount to the tens
00:37 So now instead of 4 we will have 14
00:41 Subtract the tens from the tens plus ten
00:44 Place in the tens
00:48 Subtract hundreds from hundreds, and place in hundreds
00:51 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

453269776 \begin{aligned} &453 \\ -& \\ &269\\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll perform vertical subtraction:

  • Step 1: Subtract the units place.
  • Step 2: Subtract the tens place after borrowing if necessary.
  • Step 3: Subtract the hundreds place.

Now, let's work through each step:

Step 1: Units Place
We have 33 (from 453) and 99 (from 269). Since 33 is less than 99, we need to borrow 1 from the tens column:

  • Borrow 1 from the tens column (making it 434 \rightarrow 3), change units to 1313.
  • Subtract: 139=413 - 9 = 4.

Step 2: Tens Place
After borrowing, we have 33 in the tens place (originally 55, but 11 was borrowed) and 66 in the tens place of 269. Since 33 is less than 66, we need to borrow 1 from the hundreds column:

  • Borrow 1 from the hundreds column (making it 434 \rightarrow 3), change tens to 1313.
  • Subtract: 136=713 - 6 = 7.

Step 3: Hundreds Place
After borrowing, we have 33 in the hundreds place and 22 in the hundreds place of 269:

  • Subtract: 32=13 - 2 = 1.

Therefore, the solution to the problem is 184 184 .

3

Final Answer

184

Key Points to Remember

Essential concepts to master this topic
  • Borrowing Rule: When top digit is smaller, borrow from next column
  • Technique: Convert borrowed digit: 3 becomes 13 after borrowing 1 from tens
  • Check: Add answer to subtracted number: 184 + 269 = 453 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed-from digit
    Don't borrow 1 from the tens place but leave it as 5 = wrong calculation! When you borrow, the digit you borrowed from decreases by 1. Always reduce the borrowed-from digit by 1.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &15 \\ -& \\ &~~4 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

What does borrowing actually mean in subtraction?

+

Borrowing means taking 1 from a higher place value column and adding 10 to the current column. It's like trading a $10 bill for ten $1 bills!

Why do I need to borrow when the top number is bigger overall?

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Even though 453 is bigger than 269, we work column by column. Since 3 is smaller than 9 in the units place, we need to borrow to make the subtraction possible.

How do I remember which direction to borrow from?

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Always borrow from the column to the left (higher place value). Think: hundreds → tens → units, just like borrowing money from someone richer!

What if I need to borrow multiple times in one problem?

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That's normal! In this problem, we borrowed twice. Just work one column at a time, and remember to update each borrowed-from digit as you go.

How can I check if my borrowing was done correctly?

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Use addition to verify: 184+269=453 184 + 269 = 453 . If your answer plus the number you subtracted equals the original number, your borrowing was correct!

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