Solve 331 + 89: Vertical Addition Practice Problem

Vertical Addition with Two-Digit Carrying

331+  89776 \begin{aligned} &331 \\ +& \\ &~~89 \\ &\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 problem together.
00:07 First, think about combining two digits at a time.
00:11 Begin by multiplying the ones digits. Go ahead!
00:15 Write down the ones digit and carry 1 over to the tens place.
00:20 Now multiply the tens digits. Don't forget to add the 1 you carried.
00:25 Put the result in the tens place, and carry 1 to the hundreds.
00:30 Place zero in the empty digit spaces for neatness.
00:34 Multiply the hundreds digits, add 1, then write it in the hundreds place.
00:39 And that's how you solve this problem. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

331+  89776 \begin{aligned} &331 \\ +& \\ &~~89 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we will perform vertical addition, which involves aligning the numbers based on their place values and adding them column by column, starting from the right.

Step 1: Write the problem in vertical format:
 331+ 89  \begin{array}{c} \phantom{~}331 \\ +\phantom{~}89 \\ \hline \phantom{~} \end{array}

Step 2: Add the units (rightmost) column:
1+9=101 + 9 = 10 We write 0 in the units position and carry over 1 to the tens column.

Step 3: Add the tens column including the carry over:
3(from 331)+8(from 89)+1(carryover)=12. \begin{aligned} 3 (from ~331) + 8 (from ~89) + 1 (carry over) &= 12. \end{aligned} Write 2 in the tens place and carry 1 over to the hundreds column.

Step 4: Add the hundreds column including the carry over:
3(from 331)+0(from 89)+1(carryover)=4. 3 (from ~331) + 0 (from ~89) + 1 (carry over) = 4. Write 4 in the hundreds place.

The result of the addition is:
0 331+ 89 420 \begin{array}{c} \phantom{0}\\ \phantom{~}331 \\ +\phantom{~}89 \\ \hline \phantom{~}420 \end{array}

Therefore, the solution to the problem is 420420, corresponding to choice 4.

3

Final Answer

420

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers by place value - ones, tens, hundreds
  • Technique: Add ones first: 1 + 9 = 10, write 0 carry 1
  • Check: Count up from 331: 331 + 89 = 420 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when sum exceeds 9
    Don't write 10 in the ones place when 1 + 9 = 10! This creates an impossible two-digit number in a single column and gives wrong totals like 33110. Always write the ones digit and carry the tens digit to the next column.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &90 \\ +& \\ &~~9\\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

What does 'carry over' mean in addition?

+

When adding a column gives you 10 or more, you write the ones digit in that column and carry the tens digit to the next column left. It's like making change - 10 ones become 1 ten!

Why do I start adding from the right side?

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You start with the ones column because any carrying affects the next column to the left. If you started from the left, you'd have to keep changing your answer as you carry over!

What if there's no digit in a column?

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Treat missing digits as zero. In this problem, 89 has no hundreds digit, so you add 3+0+1 3 + 0 + 1 (carry) = 4 in the hundreds column.

How can I check if my addition is correct?

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Try adding the numbers in different order: 89 + 331 should give the same answer. You can also use subtraction: 420331=89 420 - 331 = 89

Is there a faster way than column addition?

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For beginners, always use column addition - it prevents mistakes! Once you master carrying, you might try mental math tricks, but the column method is most reliable.

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