Solve Vertical Subtraction: 431 minus 210

Vertical Subtraction with Three-Digit Numbers

431210776 \begin{aligned} &431 \\ -& \\ &210 \\ &\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 consider subtracting 2 digits, and then place
00:06 Start by subtracting ones from ones, and place in ones
00:09 Subtract tens from tens, and place in tens
00:13 Subtract hundreds from hundreds, and place in hundreds
00:17 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

431210776 \begin{aligned} &431 \\ -& \\ &210 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve the given subtraction problem 431210431 - 210 using vertical subtraction, we’ll follow these steps:

Step 1: Align the numbers vertically:

431210\begin{aligned} &431 \\ -&\\ &210 \\ \end{aligned}

Step 2: Subtract each column starting from the right (units place) and moving to the left (hundreds place):

  • Units place: Subtract 00 from 11.
    The result is 10=11 - 0 = 1.

  • Tens place: Subtract 11 from 33.
    The result is 31=23 - 1 = 2.

  • Hundreds place: Subtract 22 from 44.
    The result is 42=24 - 2 = 2.

Step 3: Write the answer from each result of subtraction:

431210353005221 \begin{aligned} &431 \\ -&\\ &210 \\ \underline{\phantom{35}}&\underline{\phantom{3005}} \\ &221 \\ \end{aligned}

Therefore, the solution to the subtraction problem is 221221.

3

Final Answer

221

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers by place value with units under units
  • Technique: Start from rightmost column: 1 - 0 = 1
  • Check: Add answer to subtrahend: 221 + 210 = 431 ✓

Common Mistakes

Avoid these frequent errors
  • Misaligning place values in vertical format
    Don't write numbers randomly without matching place values = wrong column subtraction! This causes you to subtract wrong digits from each other. Always align units under units, tens under tens, hundreds under hundreds.

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 do we start subtracting from the right side?

+

We start from the units place (rightmost column) because that's how our number system works! Just like when you count, you work with ones first, then tens, then hundreds.

What if the top number is smaller than the bottom number in a column?

+

In this problem, all top digits are bigger, so no borrowing needed! When the top digit is smaller, you'd need to borrow from the next column to the left.

How can I check if my subtraction is correct?

+

Use addition to check! Add your answer to the number you subtracted: 221+210=431 221 + 210 = 431 . If you get the original number, you're right!

Do I need to write the minus sign for each column?

+

No! Write the minus sign only once at the beginning of the second number. The vertical format shows you're subtracting the entire bottom number from the top.

What if there are zeros in the problem?

+

Zeros make subtraction easier! When you subtract 0 from any digit, the answer is just that digit. Like 10=1 1 - 0 = 1 in the units place.

🌟 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