Solve Vertical Subtraction: 62 minus 37 Step-by-Step

Subtraction with Borrowing from Tens

6237776 \begin{aligned} &62 \\ -& \\ &37 \\ &\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 2 is less than 7
00:09 Therefore we subtract 1 from the tens, and add this sum to the ones
00:15 Meaning now instead of 2 we will have 12
00:21 We subtract the ones from the ones plus ten
00:25 We substitute in the ones
00:30 We subtract tens from tens, and substitute in the tens
00:35 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

6237776 \begin{aligned} &62 \\ -& \\ &37 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this subtraction problem, we will follow these steps:

  • Step 1: Set up the subtraction vertically.

  • Step 2: Subtract the numbers in the ones column.

  • Step 3: If needed, borrow from the tens column.

  • Step 4: Subtract the numbers in the tens column.

Let's work through each step:

Step 1: Set up the subtraction vertically:
6262
-
3737
64562 \underline{\phantom{64562}}

Step 2: Subtract the numbers in the ones column.
We have 22 in the ones position on the top number and 77 on the bottom number. Since 22 is less than 77, we need to borrow 1 from the tens place of the top number.

After borrowing, the 66 in the tens place becomes 55, and we add 1010 to the ones place, transforming 22 into 1212. Now, subtract 77 from 1212:
12 12
7-7
5\underline{5}

Step 3: Subtract the tens column. Now, after borrowing, we have 55 (since 61=56 - 1 = 5) in the tens position, minus 33 from the tens place of the bottom number:
5 5
3-3
2\underline{2}

Step 4: The final result is obtained by putting together these results. The subtraction yields:
2525

Therefore, the solution to the problem is 25 \textbf{25} .

3

Final Answer

25

Key Points to Remember

Essential concepts to master this topic
  • Borrowing Rule: When ones digit is smaller, borrow 1 from tens
  • Technique: Convert 2 2 to 12 12 by borrowing, then 127=5 12 - 7 = 5
  • Check: Add your answer to the bottom number: 25+37=62 25 + 37 = 62

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the tens digit after borrowing
    Don't leave the tens digit unchanged when borrowing = wrong answer like 35! When you borrow 1 from 6, it becomes 5, not 6. Always remember to subtract 1 from the digit you borrowed from.

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 just subtract 7 from 2 in the ones place?

+

You can't subtract a larger number from a smaller one in subtraction! That's why we need to borrow from the tens place to make the ones digit bigger.

What does borrowing actually mean?

+

Borrowing means taking 1 ten (which equals 10 ones) from the tens place and adding it to the ones place. So 2 becomes 12, and 6 becomes 5.

How do I remember which digit changes when I borrow?

+

Think of it as trading: you give up 1 from the tens place (6 becomes 5) and get 10 in the ones place (2 becomes 12). It's like trading a 10billforten10 bill for ten 1 bills!

What if I get a different answer when I check?

+

If 25+3762 25 + 37 \neq 62 , you made an error! Go back and check: Did you borrow correctly? Did you subtract the right digits? Double-check each step.

Do I always need to borrow in subtraction?

+

No! You only borrow when the top digit is smaller than the bottom digit. If 62 - 31, you wouldn't need to borrow since 2 > 1.

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