Vertical Subtraction Practice Problems & Worksheets

Master vertical subtraction with borrowing through step-by-step practice problems. Learn the three essential rules and solve multi-digit subtraction exercises.

πŸ“šPractice Vertical Subtraction Problems
  • Apply the correct alignment rule: ones under ones, tens under tens
  • Master borrowing from the next digit when upper digit is smaller
  • Handle complex borrowing with zeros using the special transformation rule
  • Solve multi-digit subtraction problems step-by-step with confidence
  • Practice borrowing across multiple place values in challenging exercises
  • Build fluency with vertical subtraction through varied problem types

Understanding Vertical Subtraction

Complete explanation with examples

Vertical Subtraction

In order to solve vertical subtraction, we follow these rules:
First rule - write the problem in the correct order!
Ones digits under ones digits, tens digits under tens digits, and so on.
Second rule - when the upper digit is smaller than the lower digit - we borrow 11 from the next digit.
Third rule - when you need to borrow from a 00, you cannot borrow directly from it. Instead, keep moving left through any consecutive zeros until you find a non-zero digit. Borrow 11 from that digit, turning all the zeros you passed through into 99s, and the original 00 (where you needed to borrow) becomes 1010.

Detailed explanation

Practice Vertical Subtraction

Test your knowledge with 33 quizzes

\( \begin{aligned} &56 \\ -& \\ &~~5 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

Examples with solutions for Vertical Subtraction

Step-by-step solutions included
Exercise #1

97βˆ’63776β€Ύ \begin{aligned} &97 \\ -& \\ &63 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Step-by-Step Solution

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

  • Step 1: Align the numbers vertically by their place values.

  • Step 2: Subtract the digits in the ones place.

  • Step 3: Subtract the digits in the tens place, borrowing if needed.

Now, let's work through each step together:

Step 1: Align 97 and 63 vertically:

00Β 907βˆ’0603 \begin{array}{c} \phantom{00\ }9\phantom{0}7 \\ -\phantom{0}6\phantom{0}3 \\ \hline \end{array}

Step 2: Start with the ones place:

The digits are 7 and 3.

Subtract 3 from 7: 7βˆ’3=47 - 3 = 4.

Step 3: Move to the tens place:

The digits are 9 and 6.

Subtract 6 from 9: 9βˆ’6=39 - 6 = 3.

Write the results in their respective place values:

00Β 907βˆ’060300Β 304 \begin{array}{c} \phantom{00\ }9\phantom{0}7 \\ -\phantom{0}6\phantom{0}3 \\ \hline \phantom{00\ }3\phantom{0}4 \\ \end{array}

Therefore, the solution to the problem is 34.

Answer:

34

Video Solution
Exercise #2

49βˆ’31776β€Ύ \begin{aligned} &49 \\ -& \\ &31 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Step-by-Step Solution

To solve the subtraction problem by vertically aligning the numbers, we will work as follows:

  • Step 1: Write the numbers vertically aligning by place value.
    49βˆ’31Β Β Β 7600β€Ύ \begin{array}{c} 49 \\ -31~~~\\ \underline{\phantom{7600}} \\ \end{array}

  • Step 2: Start subtracting from the units column (rightmost).
    Subtract the units digit: 9βˆ’1=8 9 - 1 = 8 .

  • Step 3: Move to the tens column.
    Subtract the tens digit: 4βˆ’3=1 4 - 3 = 1 .

The subtraction gives us a result.

Therefore, the solution to the problem is 18 18 .

Answer:

18

Video Solution
Exercise #3

25βˆ’24776β€Ύ \begin{aligned} &25 \\ -& \\ &24 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Step-by-Step Solution

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

  • Step 1: Align the numbers vertically. Place the number 25 over the number 24, ensuring the digits are in the correct columns (tens and units).
  • Step 2: Subtract the units (rightmost) digits first. In this case, subtract 4 from 5.
    5βˆ’4=1 5 - 4 = 1
  • Step 3: Subtract the tens digits. In this case, subtract 2 from 2.
    2βˆ’2=0 2 - 2 = 0

Now write the result of the subtraction in each column below the line. The units column has 1, and the tens column has 0, resulting in the final answer.

Therefore, the solution to the subtraction 25βˆ’24 25 - 24 is 1 1 .

Answer:

1

Video Solution
Exercise #4

85βˆ’81776β€Ύ \begin{aligned} &85 \\ -& \\ &81 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Step-by-Step Solution

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

  • Step 1: Align the numbers for vertical subtraction.

  • Step 2: Subtract the digits in the units column.

  • Step 3: Subtract the digits in the tens column if necessary.

Now, let's work through each step:
Step 1: We'll arrange the numbers as follows:
85βˆ’81Β Β Β ? \begin{array}{c} {85} \\ {-81} ~~\ \\ \hline ? \\ \end{array} Step 2: Start by subtracting the digits in the units column: 5βˆ’1=45 - 1 = 4.

Step 3: Move to the tens column: 8βˆ’8=08 - 8 = 0.

The result is 04, which simplifies to just 4.

Therefore, the difference when we subtract 81 from 85 is 4\boxed{4}.

Answer:

4

Video Solution
Exercise #5

37βˆ’25776β€Ύ \begin{aligned} &37 \\ -& \\ &25 \\ &\underline{\phantom{776}} & \\ \end{aligned}

Step-by-Step Solution

Let's solve the subtraction problem 37βˆ’2537 - 25 using vertical subtraction:

  • Step 1: Align the numbers vertically:

    Β Β Β Β Β Β Β 37βˆ’Β Β Β Β 25 \begin{array}{c} \ \ \ \ \ \ \ 37 \\ - \ \ \ \ 25 \\ \hline \end{array}

  • Step 2: Start with the rightmost column (units place):

    7βˆ’5=27 - 5 = 2

    Write 22 under the line in the units place.

  • Step 3: Move to the left column (tens place):

    3βˆ’2=13 - 2 = 1

    Write 11 under the line in the tens place. This gives us 1212 as the result.

Therefore, the solution to the problem is 1212.

Answer:

12

Video Solution

Frequently Asked Questions

What is the first rule of vertical subtraction?

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The first rule is proper alignment: write ones digits under ones digits, tens under tens, hundreds under hundreds, and so on. Always place the first number in the problem at the top of your vertical setup.

When do I need to borrow in vertical subtraction?

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You need to borrow when the upper digit is smaller than the lower digit you're subtracting from. For example, in 45 - 29, you can't subtract 9 from 5, so you borrow 1 from the tens place.

How do I borrow from a zero in vertical subtraction?

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When borrowing from a zero, the zero becomes 9 and you continue borrowing from the next non-zero digit to the left. For example, in 500 - 365, the first 0 becomes 10, the second 0 becomes 9, and the 5 becomes 4.

What happens when there are multiple zeros in vertical subtraction?

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With multiple consecutive zeros, each zero (except the rightmost one you're borrowing for) becomes 9 until you reach a non-zero digit. The pattern continues: third zero becomes 8, fourth becomes 7, and so on.

How do I check my vertical subtraction answer?

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Add your answer to the bottom number (subtrahend). If correct, this sum should equal the top number (minuend). For example, if 87 - 54 = 33, then 33 + 54 should equal 87.

What are common mistakes in vertical subtraction with borrowing?

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Common mistakes include: 1) Forgetting to reduce the digit you borrowed from, 2) Misaligning place values, 3) Not continuing the borrowing process through multiple zeros, and 4) Subtracting the smaller number from the larger regardless of position.

Why is vertical subtraction better than horizontal subtraction?

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Vertical subtraction organizes complex multi-digit problems clearly by place value, making borrowing easier to track. It reduces errors in alignment and provides a systematic approach for solving problems like 5700 - 3786.

How do I solve vertical subtraction problems with 4 or more digits?

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Follow the same three rules regardless of digit count: proper alignment, borrowing when needed, and handling zeros correctly. Work from right to left (ones to thousands), borrowing across place values as necessary.

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