Solve Vertical Subtraction: 572 minus 94 Step-by-Step

Multi-Digit Subtraction with Regrouping Twice

572  94776 \begin{aligned} &572 \\ -& \\ &~~94 \\ &\underline{\phantom{776}} & \\ \end{aligned}

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time we consider a shortage of 2 digits, and then we place
00:07 2 is less than 4
00:12 Therefore we subtract 1 from the tens and add this amount to the ones
00:16 So now instead of 2 we will have 12
00:20 We subtract the ones from the ones plus ten
00:23 We place in the ones
00:26 6 is less than 9
00:29 Therefore we subtract 1 from the hundreds and add this amount to the tens
00:36 So now instead of 6 we will have 16
00:39 We subtract the tens from the tens plus ten
00:44 We place in the tens
00:47 We place 0 in the missing digits
00:50 Subtract hundreds from hundreds, and place in hundreds
00:53 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

572  94776 \begin{aligned} &572 \\ -& \\ &~~94 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

Let's solve the problem using vertical subtraction. We have:

57294 \begin{array}{c} & 5 & 7 & 2 \\ - & & 9 & 4 \\ \hline \end{array}

Step 1: Subtract the rightmost digits (units):

We have 242 - 4, which is not possible without borrowing. So, we need to regroup:

  • Borrow 1 from the tens place (7 becomes 6), making the 2 a 12.

Now calculate:

124=812 - 4 = 8

Step 2: Subtract the tens digits:

We are left with 696 - 9, which again requires us to regroup:

  • Borrow 1 from the hundreds place (5 becomes 4), making the 6 a 16.

Now calculate:

169=716 - 9 = 7

Step 3: Finally, subtract the hundreds digits:

We now have 404 - 0, since there is no digit above in the subtrahend:

40=44 - 0 = 4

Putting it all together, the subtraction yields:

15721941478 \begin{array}{c} & \phantom{1} 5 & 7 & 2 \\ - & \phantom{1} & 9 & 4 \\ \hline & \phantom{1} 4 & 7 & 8 \\ \end{array}

Therefore, the answer to the problem is 478\textbf{478}.

3

Final Answer

478

Key Points to Remember

Essential concepts to master this topic
  • Regrouping Rule: Borrow 1 from left column when digit is smaller
  • Technique: Change 572 to 4,16,12 then subtract: 12-4=8, 16-9=7, 4-0=4
  • Check: Add answer to subtrahend: 478 + 94 = 572 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to reduce the borrowed-from digit
    Don't borrow 1 from 7 to make 12 but leave the 7 unchanged = wrong regrouping! This creates extra value that doesn't exist. Always reduce the digit you borrow from: 7 becomes 6, then 5 becomes 4.

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

Why do I need to borrow twice in this problem?

+

You need to borrow twice because both the units and tens places have smaller digits than what you're subtracting. First borrow for 2-4, then borrow again for the new 6-9!

What does 'borrow 1' actually mean?

+

Borrowing 1 means taking 10 from the next column. So when you borrow from 7, it becomes 6, and the 2 becomes 12 (2 + 10 = 12).

How do I keep track of all the changes when borrowing?

+

Write the new numbers above the original digits as you borrow. This helps you see: 461257294 \begin{array}{c} ^4 & ^6 & ^{12} \\ 5 & 7 & 2 \\ - & 9 & 4 \end{array}

What if I make a mistake while borrowing?

+

Check your work by adding your answer back to 94. If you get 572, you're correct! If not, try the borrowing steps again more carefully.

Is there a pattern to borrowing in subtraction?

+

Yes! Always work from right to left. If you can't subtract in a column, borrow from the column to the left, reduce that digit by 1, and add 10 to your current column.

Why is my answer 478 instead of the other choices?

+

The other answers come from borrowing mistakes. 478 is correct because: units place 12-4=8, tens place 16-9=7, hundreds place 4-0=4.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Arithmetic Operations questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations