Solve 713 Minus 58: Vertical Subtraction Problem

Subtraction with Borrowing Techniques

713  58776 \begin{aligned} &713 \\ -& \\ &~~58 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:05 Let's solve this problem together.
00:08 First, look at the last two digits.
00:12 Three is less than eight, so we need to adjust.
00:18 We subtract one from the tens and add it to the ones digit.
00:24 Now, instead of three, we have thirteen.
00:28 Let's subtract eight from thirteen.
00:33 Put the answer in the ones place.
00:36 Zero is less than five, so we adjust again.
00:44 Subtract one from the hundreds, add it to the tens.
00:50 Now, we have ten instead of zero.
00:55 Subtract five from ten.
00:59 Put the answer in the tens place.
01:02 Place zero in any missing spots.
01:05 Finally, subtract hundreds from hundreds.
01:10 And that's how we solve the problem!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

713  58776 \begin{aligned} &713 \\ -& \\ &~~58 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Write the numbers in column form.

  • Step 2: Subtract starting from the rightmost (units) column.

  • Step 3: Apply borrowing/regrouping if necessary.

Now, let's work through each step:

Step 1: Write the numbers vertically.
713058   776 \begin{array}{c} 713\\ -\phantom{0}58~~~ \\ \underline{\phantom{776}} \\ \end{array}

Step 2: Starting with the units column:
Since 3<8 3 < 8 , we need to borrow 1 from the tens column (1 becomes 0, and 3 becomes 13).

Step 3: Perform the subtraction with borrowing:
- Units: 138=513 - 8 = 5
- Tens: Re-evaluated 0 (after borrowing) minus 5, need another borrow so 0 turns to 10. - After borrowing from hundreds column, 105=510 - 5 = 5.
- Hundreds: After borrowing, left with 6. Thus, 60=66 - 0 = 6

Therefore, put all together, the difference is:
713058   655 \begin{array}{c} 713\\ -\phantom{0}58~~~ \\ \underline{655} \\ \end{array}

Therefore, the solution to the problem is 655 655 .

3

Final Answer

655

Key Points to Remember

Essential concepts to master this topic
  • Borrowing Rule: When top digit is smaller than bottom, borrow from left column
  • Regrouping Technique: 3 becomes 13 after borrowing 1 from tens place
  • Verification Check: Add your answer to subtrahend: 655 + 58 = 713 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce borrowed digit
    Don't borrow 1 from the tens place and forget to reduce it from 1 to 0 = wrong calculation! This leaves the original digit unchanged and creates errors in subsequent columns. Always reduce the borrowed digit by 1 after taking from it.

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 subtract 8 from 3 in the units column?

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You're absolutely right! Since 3 is smaller than 8, you need to borrow. Think of it like borrowing money - you take 10 from the tens place, making 3 become 13, then 138=5 13 - 8 = 5 .

What happens when I borrow from a zero?

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Great question! When borrowing from 0 (like in the tens place), you need to borrow from the next column first. The 0 becomes 10, then you can borrow 1 from it, leaving 9 in that position.

How do I know which column to start subtracting from?

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Always start from the rightmost column (units place) and work your way left. This is like counting - ones, tens, hundreds. This order ensures borrowing works correctly!

Can I check my subtraction answer?

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Yes! The best way is addition. Add your answer to the number you subtracted: 655+58 655 + 58 . If you get 713 (the original number), you're correct!

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

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No problem! Just handle one column at a time. In 713 - 58, you borrow twice: once for units (3→13) and once for tens (0→10). Take it step by step and you'll get it right.

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