Solve Vertical Subtraction: 91 minus 7 Step-by-Step

Vertical Subtraction with Borrowing

91  7776 \begin{aligned} &91 \\ -& \\ &~~7 \\ &\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 subtract 2 digits, and then place
00:06 1 less than 7
00:09 Therefore subtract 1 from the tens, and add this amount to the ones
00:14 In other words, now instead of 1 we will have 11
00:17 Subtract the ones from the ones plus ten
00:22 Place in ones
00:25 Place 0 in the missing digits
00:28 Subtract tens from tens, and place in tens
00:32 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

91  7776 \begin{aligned} &91 \\ -& \\ &~~7 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve the subtraction problem 917 91 - 7 , we'll align the numbers vertically and perform the operation step by step.

Step 1: Align the numbers vertically:

91  7 \begin{aligned} &91 \\ -& \\ &~~7 \\ \end{aligned}

Step 2: Subtract the units:

The units digits are 11 from 9191 and 77. Notice that 11 is less than 77, so we need to borrow from the tens digit of 9191.

- Regroup the tens and units: Borrow 11 ten from the tens place 99:
9191 becomes 88 in the tens place and 1111 in the units place, represented as:

8 11    7  \begin{aligned} 8~11& \\ -~~~~ 7~& \end{aligned}

Step 3: Perform the final subtraction:

- Subtract the units: 117=411 - 7 = 4.

- The tens remain 88, so the resulting number is 8484.

Therefore, the solution to the problem is 84 84 .

3

Final Answer

84

Key Points to Remember

Essential concepts to master this topic
  • Rule: When units digit is smaller, borrow from tens place
  • Technique: Convert 91 to 8 tens and 11 units for subtraction
  • Check: Add result to subtracted number: 84 + 7 = 91 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the tens digit when borrowing
    Don't just change 1 to 11 without reducing 9 to 8 = wrong answer like 104! This ignores the borrowing process completely. Always remember that borrowing 1 ten means the tens digit decreases 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

Why can't I just subtract 7 from 1 in the units place?

+

You can't subtract a larger number from a smaller number and get a positive result! When 1 < 7, you must borrow from the tens place to make it 11 - 7 = 4.

How do I know when I need to borrow?

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Look at each column from right to left. If the top digit is smaller than the bottom digit in any column, you need to borrow from the column to its left.

What happens to the 9 when I borrow 1 ten?

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The 9 becomes 8 because you took away 1 ten to give to the units place. Think of it as trading 1 ten for 10 units.

Can I check my answer without adding?

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Yes! You can also think: "What plus 7 equals 91?" If 84 + 7 = 91, then 91 - 7 = 84 is correct.

What if I need to borrow from a zero?

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When borrowing from 0, you need to keep borrowing leftward until you reach a non-zero digit. For example, in 304 - 7, borrow from the hundreds to make it 2-9-14, then subtract normally.

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