Solve Vertical Addition: Adding 32 and 89 Step by Step

Vertical Addition with Two-Digit Carrying

32+89776 \begin{aligned} &32 \\ +& \\ &89 \\ &\underline{\phantom{776}} & \\ \end{aligned}

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve
00:03 Each time we consider combining 2 digits, and then we place
00:06 Let's start by adding ones with ones
00:09 Place the ones, and remember to carry 1 up
00:12 Add tens with tens, remember to add 1 to the calculation
00:19 Place the tens in the tens column, and carry 1 to hundreds
00:23 Place 0 in the missing digits
00:29 Add hundreds with hundreds, and place in the appropriate position
00:32 And this is the solution to the problem

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

32+89776 \begin{aligned} &32 \\ +& \\ &89 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem of adding the numbers 3232 and 8989 using vertical addition, we will proceed as follows:

First, write the numbers vertically, ensuring their digits are aligned as follows:

   32
+  89
------

Now, let's add the numbers column by column:

  • Add the rightmost column (units column):
    2+9=11 2 + 9 = 11 Since 11 is greater than 9, we write down 1 in the units place and carry over 1 to the tens column.
  • Add the tens column:
    Add the numbers in the tens place (3 and 8) with the carryover of 1: 3+8+1=12 3 + 8 + 1 = 12 Place 2 in the tens place and write down 1 in the hundreds place.

Therefore, lining it up nicely, the sum can be calculated as:

   32
+  89
------
  121

Thus, the result of adding 3232 and 8989 is 121121.

The correct choice is Choice 1: 121\boxed{121}.

3

Final Answer

121

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers so digits line up by place value
  • Carrying: When units sum exceeds 9, write units digit and carry tens
  • Check: Verify by adding horizontally: 32 + 89 = 121 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry over when column sum exceeds 9
    Don't write 11 in the units place when 2 + 9 = 11! This creates an invalid two-digit answer in one column. Always write the units digit (1) and carry the tens digit (1) 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 'carrying' mean in addition?

+

Carrying means when a column adds up to 10 or more, you write down the units digit and move the tens digit to the next column. For example, when 2 + 9 = 11, write 1 and carry 1.

Why can't I just write 11 in the units column?

+

Each column can only hold one digit! Writing 11 would mean you have two digits in one place value position, which breaks our number system rules.

How do I remember to add the carried number?

+

Write the carried number small and above the next column as a reminder. Then add all three numbers: the two original digits plus the carried digit.

What if I forget to carry and get the wrong answer?

+

Always double-check your work! Add the numbers horizontally (32 + 89) to verify your vertical addition result matches.

Do I need to carry if the sum is exactly 10?

+

Yes! When any column sum equals 10, write 0 in that column and carry 1 to the next column, just like with sums greater than 10.

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