Solve Vertical Subtraction: 43 minus 6

Vertical Subtraction with Borrowing

43  6776 \begin{aligned} &43 \\ -& \\ &~~6 \\ &\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 calculate subtraction of 2 digits, and then we substitute
00:06 3 is less than 6
00:09 Therefore we subtract 1 from the tens and add this amount to the ones
00:20 So now instead of 3 we will have 13
00:25 We subtract the ones from the ones plus ten
00:28 We place in the ones
00:31 We place 0 in the missing digits
00:34 We subtract tens from tens, and place in tens
00:37 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

43  6776 \begin{aligned} &43 \\ -& \\ &~~6 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

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

  • Step 1: Perform vertical subtraction aligning the numbers by place value.

  • Step 2: Subtract the digits in the ones place and the tens place, borrowing if needed.

Now, let's work through each step:

Step 1: Write the numbers vertically:

43  6 \begin{aligned} &43 \\ -& \\ &~~6 \\ \end{aligned}

Step 2: Begin subtracting from the right (ones place):

- 363 - 6 needs borrowing since 3 is less than 6.
- We borrow 1 from the tens digit, turning 3 into 13 and reducing the 4 to 3 in the tens place.

- Now, subtract: 136=713 - 6 = 7.

Move to the tens place:

- With the tens place borrowed from earlier, 30=33 - 0 = 3.

Therefore, the answer to the subtraction 43643 - 6 is 37\mathbf{37}.

Thus, the correct answer is 3737

3

Final Answer

37

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers vertically by place value columns
  • Borrowing: When 3 < 6, borrow 1 from tens: 13 - 6 = 7
  • Check: Add your answer to subtracted number: 37 + 6 = 43 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed-from digit
    Don't leave the tens digit as 4 after borrowing = wrong answer of 47! When you borrow 1 from the 4, it becomes 3. Always reduce the digit you borrowed from by 1.

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

When do I need to borrow in subtraction?

+

You need to borrow when the top digit is smaller than the bottom digit in any column. In 43643 - 6, since 3 < 6, we must borrow from the tens place.

What happens to the number I borrow from?

+

The digit you borrow from decreases by 1. When we borrow 1 from the 4 in the tens place, it becomes 3. This is crucial for getting the correct answer!

How does borrowing change the ones digit?

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Borrowing adds 10 to the ones digit. So 3 becomes 13, making 136=713 - 6 = 7 possible to calculate.

Can I check my subtraction answer?

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Yes! Add your answer to the number you subtracted. If you get the original number, you're correct: 37+6=4337 + 6 = 43

What if there's a zero in the tens place?

+

If you need to borrow from a zero, you must borrow from the next column over first. The zero becomes 9, then you can borrow from it normally.

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