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

00:00 Solve
00:02 Each time consider combining 2 digits, and then write
00:05 Let's start by multiplying ones with ones
00:08 Write down the ones, carry 1 to tens
00:11 Multiply tens with tens, remember to add 1 to the calculation
00:15 Write down tens in tens place, carry 1 to hundreds
00:21 Write 0 in the missing digits
00:25 Multiply hundreds with hundreds remember to add 1, write in hundreds place
00:30 And this is the solution to the problem

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