Subtract 7 from 625: Vertical Format Arithmetic Problem

Q: Why can't I just subtract 7 - 5 = 2 in the ones place?

Because we're subtracting 7 from 5, not 5 from 7! When the bottom digit is larger, we need to borrow from the next place value to make subtraction possible.

Q: How do I remember when to borrow?

Simple rule: If the top digit is smaller than the bottom digit, you need to borrow! Look at each column from right to left and check: is the top number big enough?

Q: What happens to the tens place when I borrow?

When you borrow 1 from the tens place, it becomes 10 in the ones place. So $2$ becomes $1$ in tens, and $5$ becomes $15$ in ones!

Q: How can I check if my subtraction is correct?

Use addition to check! Add your answer to the number you subtracted: $618 + 7$. If you get the original number ($625$), you're right!

Q: What if there's a zero in the number I'm borrowing from?

You'll need to keep borrowing until you find a digit that's not zero! For example, with 400 - 7, you'd borrow from the hundreds place since the tens place is 0.

Vertical Subtraction with Borrowing Techniques

$\begin{aligned} &625\\ -& \\ &~~~~7 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's solve this math problem together.

00:07 We're going to subtract two digits each time.

00:11 See here, five is smaller than seven.

00:15 So, we'll borrow one from the tens place and add it to the ones.

00:20 This means we now have fifteen instead of five.

00:25 Subtract the digits like fifteen minus seven.

00:29 Then, write the result in the ones place.

00:33 Fill any missing spots with zero.

00:37 Subtract the tens, and put it in the tens place.

00:42 Subtract hundreds, and place them in the hundreds column.

00:46 And that's how we solve the problem. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &625\\ -& \\ &~~~~7 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

To solve the problem of subtracting 7 from 625, we will use vertical subtraction. The alignment and borrowing process is as follows:

Align the numbers vertically. Here, we have $625$ minus $7$ , where $7$ is in the units place.
Start with the rightmost digit. Since we have $5$ in the units place of 625 and need to subtract $7$ , borrowing is necessary because 5 is smaller than 7.
Borrow from the tens place: - The tens digit in 625 is $2$ . We decrease $2$ by $1$ , making it $1$ . - This means we now have $15$ (10 + 5) in the units place for our subtraction.
Subtract: $15 - 7 = 8$ . Write $8$ in the units place of the result.
Move to the tens place: substract $1 - 0 = 1$ as there is no number to subtract other than $0$ .
Finally, move to the hundreds place: $6 - 0 = 6$ . Thus, the hundreds digit remains $6$ .
This leaves us with the final subtraction result: $618$ .

Therefore, the solution to the problem is $618$ .

Final Answer

618

Key Points to Remember

Essential concepts to master this topic

Alignment: Place numbers vertically with matching place values aligned
Borrowing: When 5 < 7, borrow from tens: 15 - 7 = 8
Check: Add the answer back: 618 + 7 = 625 ✓

Common Mistakes

Avoid these frequent errors

Subtracting smaller digit from larger digit regardless of position
Don't compute 7 - 5 = 2 when you see 5 is smaller than 7! This ignores place value and gives 622 instead of 618. Always borrow from the next place value when the top digit is smaller.

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 - 5 = 2 in the ones place?

Because we're subtracting 7 from 5, not 5 from 7! When the bottom digit is larger, we need to borrow from the next place value to make subtraction possible.

How do I remember when to borrow?

Simple rule: If the top digit is smaller than the bottom digit, you need to borrow! Look at each column from right to left and check: is the top number big enough?

What happens to the tens place when I borrow?

When you borrow 1 from the tens place, it becomes 10 in the ones place. So $2$ becomes $1$ in tens, and $5$ becomes $15$ in ones!

How can I check if my subtraction is correct?

Use addition to check! Add your answer to the number you subtracted: $618 + 7$ . If you get the original number ( $625$ ), you're right!

What if there's a zero in the number I'm borrowing from?

You'll need to keep borrowing until you find a digit that's not zero! For example, with 400 - 7, you'd borrow from the hundreds place since the tens place is 0.

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