Calculate 677 minus 85: Vertical Subtraction Practice

Q: Why can't I just subtract 8 from 7 in the tens column?

You can't subtract a larger number from a smaller number in subtraction! When the top digit is smaller, you must borrow from the next column to the left.

Q: How do I know when I need to borrow?

You need to borrow whenever the top digit is smaller than the bottom digit in any column. Look at each column from right to left before you start subtracting.

Q: What happens to the digit I borrow from?

The digit you borrow from gets reduced by 1. So when we borrowed from 6 in the hundreds place, it became 5. Never forget this step!

Q: Can I check my subtraction answer?

Yes! Add your answer to the number you subtracted. If you get the original number, you're correct: $ 592 + 85 = 677 $ ✓

Q: What if I need to borrow from zero?

When borrowing from 0, you need to borrow from the next column over first. Change the 0 to 10, then continue borrowing as normal. It's like a chain reaction!

Q: Do I always start subtracting from the right?

Always start from the rightmost column (ones place) and work left. This ensures you handle any borrowing correctly as you move through each place value.

Vertical Subtraction with Borrowing Across Columns

$\begin{aligned} &677 \\ -& \\ &~~85 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's begin solving the problem.

00:07 First, we'll focus on two digits at a time.

00:11 Subtract the ones place from the ones place, and write the result in the ones.

00:17 Notice that 7 is less than 8.

00:20 So, we'll borrow 1 from the hundreds and add it to the tens.

00:25 Which means, we now have 17 instead of 7.

00:33 Next, subtract the tens plus ten from the tens place.

00:39 And write that result in the tens place.

00:43 Fill any missing digits with zeroes.

00:47 Finally, subtract the hundreds from hundreds, and write the result in the hundreds.

00:53 And there you have it! That's the solution to the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$\begin{aligned} &677 \\ -& \\ &~~85 \\ &\underline{\phantom{776}} & \\ \end{aligned}$

Step-by-step solution

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

Step 1: Set up the subtraction problem, aligning the numbers vertically by their place values:

$\begin{aligned} &\:6\:&7\:&&7 \\ - & \: \:&8\:&&5 \\ \underline{\phantom{777}} \end{aligned}$

Step 2: Begin subtracting from the units column:

$7 - 5 = 2$ . Write 2 in the units place of the answer.

Step 3: Move to the tens column:

We have $7 - 8$ , which requires borrowing.

Borrow 1 from the hundreds column, reducing 6 to 5, and add 10 to the 7 in the tens column, making it 17.

Now, $17 - 8 = 9$ . Write 9 in the tens place of the answer.

Step 4: Move to the hundreds column:

Now, $5 - 0 = 5$ . Write 5 in the hundreds place of the answer.

After completing all these steps, the answer to the subtraction problem is $\textbf{592}$ .

Therefore, the solution to the problem is $592$ .

Final Answer

592

Key Points to Remember

Essential concepts to master this topic

Alignment: Line up digits by place value before subtracting
Borrowing: When 7 - 8 needs borrowing, change 677 to 5-17-7
Check: Add your answer to the subtracted number: 592 + 85 = 677 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to reduce the borrowed-from digit
Don't borrow 1 from the hundreds place but leave it as 6 = wrong answer 692! When you borrow, you must reduce that digit by 1. Always change 677 to 5-17-7 when borrowing from hundreds to tens.

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 8 from 7 in the tens column?

You can't subtract a larger number from a smaller number in subtraction! When the top digit is smaller, you must borrow from the next column to the left.

How do I know when I need to borrow?

You need to borrow whenever the top digit is smaller than the bottom digit in any column. Look at each column from right to left before you start subtracting.

What happens to the digit I borrow from?

The digit you borrow from gets reduced by 1. So when we borrowed from 6 in the hundreds place, it became 5. Never forget this step!

Can I check my subtraction answer?

Yes! Add your answer to the number you subtracted. If you get the original number, you're correct: $592 + 85 = 677$ ✓

What if I need to borrow from zero?

When borrowing from 0, you need to borrow from the next column over first. Change the 0 to 10, then continue borrowing as normal. It's like a chain reaction!

Do I always start subtracting from the right?

Always start from the rightmost column (ones place) and work left. This ensures you handle any borrowing correctly as you move through each place value.

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