Solve 331 + 89: Vertical Addition Practice Problem

Question

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

Video Solution

Solution Steps

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 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)amp;=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.

Answer

420