Solve: 833 Minus 7 in Vertical Subtraction Format

Q: Why can't I just subtract 7 from 3 directly?

Because 3 is smaller than 7, you can't subtract a larger number from a smaller one in basic subtraction. That's why we need to borrow from the tens place first!

Q: What does borrowing actually mean?

Borrowing means taking 1 ten from the tens column and converting it to 10 ones. So 833 becomes 8-2-13, which gives us enough ones to subtract 7.

Q: How do I remember to change the tens digit when borrowing?

Think of it as trading: you trade 1 ten for 10 ones. The tens place loses 1 (goes from 3 to 2) and the ones place gains 10 (goes from 3 to 13).

Q: What if I need to borrow from a zero?

When borrowing from 0, you need to keep borrowing leftward until you find a non-zero digit. Each 0 becomes 9, and the non-zero digit decreases by 1.

Q: Is there a way to check my subtraction answer?

Yes! Add your answer to the number you subtracted. If you get the original number back, you're correct: $826 + 7 = 833$ ✓

Q: Why is vertical format better than horizontal for this problem?

Vertical format helps you align place values correctly and makes borrowing easier to track. You can clearly see which digits need to change during the borrowing process.

Vertical Subtraction with Borrowing Techniques

$\begin{aligned} &833 \\ -& \\ &~~~~7 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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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 we consider subtraction of 2 digits, and then we substitute

00:06 3 is less than 7

00:09 Therefore we subtract 1 from the tens and add this amount to the ones

00:14 So now instead of 3 we will have 13

00:19 We subtract the ones from the ones plus ten

00:23 We place in the ones

00:26 We place 0 in the missing digits

00:29 We subtract tens from tens, and place in tens

00:33 We subtract hundreds from hundreds, and place in hundreds

00:37 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &833 \\ -& \\ &~~~~7 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To subtract $7$ from $833$ , follow these steps:

Start at the ones column: subtract $7$ from $3$ . Since $3$ is smaller than $7$ , we need to borrow from the tens column.
Regroup: Change the $3$ in the tens column to $2$ (since we borrow one group of ten) and add $10$ to the ones place turning $3$ into $13$ .
Subtract again in the ones place: $13 - 7 = 6$ .
Move to the tens column. Now that it’s $2$ , proceed to subtract: $2 - 0 = 2$ (since there's no borrowing needed from the hundreds place).
In the hundreds column, subtract: $8 - 0 = 8$ (since no borrowing from any higher place value is needed).

Therefore, the complete difference is $\mathbf{826}$ .

Final Answer

826

Key Points to Remember

Essential concepts to master this topic

Borrowing Rule: When ones digit is smaller, borrow from tens column
Technique: Change 3 to 13 and reduce tens from 3 to 2
Check: Add result back: 826 + 7 = 833 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to reduce the borrowed-from digit
Don't just add 10 to the ones place without changing the tens digit = wrong answer like 836! This ignores the borrowing process completely. Always reduce the tens digit by 1 when you borrow 10 for the ones place.

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 3 directly?

Because 3 is smaller than 7, you can't subtract a larger number from a smaller one in basic subtraction. That's why we need to borrow from the tens place first!

What does borrowing actually mean?

Borrowing means taking 1 ten from the tens column and converting it to 10 ones. So 833 becomes 8-2-13, which gives us enough ones to subtract 7.

How do I remember to change the tens digit when borrowing?

Think of it as trading: you trade 1 ten for 10 ones. The tens place loses 1 (goes from 3 to 2) and the ones place gains 10 (goes from 3 to 13).

What if I need to borrow from a zero?

When borrowing from 0, you need to keep borrowing leftward until you find a non-zero digit. Each 0 becomes 9, and the non-zero digit decreases by 1.

Is there a way to check my subtraction answer?

Yes! Add your answer to the number you subtracted. If you get the original number back, you're correct: $826 + 7 = 833$ ✓

Why is vertical format better than horizontal for this problem?

Vertical format helps you align place values correctly and makes borrowing easier to track. You can clearly see which digits need to change during the borrowing process.

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