Solve 97 minus 63: Two-Digit Subtraction in Vertical Format

Two-Digit Subtraction with No Borrowing

9763776 \begin{aligned} &97 \\ -& \\ &63 \\ &\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 calculate subtraction of 2 digits, and then substitute
00:06 Let's start by subtracting ones from ones, and put in ones place
00:10 Subtract tens from tens, and put in tens place
00:13 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

9763776 \begin{aligned} &97 \\ -& \\ &63 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

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:

00 9070603 \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: 73=47 - 3 = 4.

Step 3: Move to the tens place:

The digits are 9 and 6.

Subtract 6 from 9: 96=39 - 6 = 3.

Write the results in their respective place values:

00 907060300 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.

3

Final Answer

34

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Line up numbers by place value, ones under ones
  • Method: Subtract ones place first: 7 - 3 = 4
  • Check: Add your answer to the smaller number: 34 + 63 = 97 ✓

Common Mistakes

Avoid these frequent errors
  • Subtracting larger number from smaller number
    Don't subtract 97 - 63 as (6 - 9) and (3 - 7) = wrong negative results! This happens when you don't keep track of which number is on top. Always subtract the bottom digit from the top digit in each place value.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &97 \\ -& \\ &63 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)\( \)

FAQ

Everything you need to know about this question

Do I always subtract from right to left?

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Yes! Always start with the ones place (rightmost column) and work your way left. This helps you handle borrowing correctly if needed in other problems.

What if the top digit is smaller than the bottom digit?

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In this problem, 7 > 3 and 9 > 6, so no borrowing needed! But when the top is smaller, you'll need to borrow from the next place value to the left.

How can I check if my subtraction is right?

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Use addition to check! Add your answer to the number you subtracted: 34+63=97 34 + 63 = 97 . If you get the original larger number, you're correct!

Why do we line up the numbers vertically?

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Vertical alignment keeps the place values organized. Ones under ones, tens under tens. This prevents mixing up digits and ensures accurate subtraction.

What does the line under the problem mean?

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The horizontal line separates the problem from the answer. Write your final result below this line, keeping each digit in its correct place value column.

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