Solve Vertical Addition: 12 + 88 Step by Step

Vertical Addition with Carrying

12+88776 \begin{aligned} &12 \\ +& \\ &88 \\ &\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 calculate the sum of 2 digits, and then we place
00:06 Let's start by adding ones with ones
00:09 Place the ones, and remember 1 to carry up
00:12 Add tens with tens, remember to add 1 to the calculation
00:20 Place the tens in tens place, and carry 1 to hundreds
00:23 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

12+88776 \begin{aligned} &12 \\ +& \\ &88 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we'll follow a step-by-step vertical addition method:

  • Step 1: Arrange the numbers vertically: 12+88 \begin{aligned} &12 \\ + & \\ &88 \\ \end{aligned} Make sure the digits of the numbers are aligned correctly: units under units and tens under tens.
  • Step 2: Start by adding the numbers in the units place (rightmost column): 2+8=102 + 8 = 10
  • Since 1010 is a two-digit number, write down 00 in the units place under this column and carry over 11 to the tens column (left). Carrying over is essential when the sum of any column exceeds 9.

  • Step 3: Next, add the numbers in the tens place, don't forget adding the carry from the previous addition: 1+1+8=101 + 1 + 8 = 10
  • As before, 1010 is a two-digit number. Write down 00 in the tens place and carry over 11 (although in this case, it gets added to a zero since this is the leftmost column, resulting in a new column).

    Thus, the complete addition looks like this: 12+88100 \begin{aligned} &12 \\ + & \\ &88 \\ & \underline{100} \end{aligned}

Therefore, the correct solution to the problem is 100100, which corresponds to the answer choice provided.

3

Final Answer

100

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Place units under units, tens under tens correctly
  • Technique: Add right to left: 2 + 8 = 10, carry 1
  • Check: Verify by adding horizontally: 12 + 88 = 100 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to carry when sum exceeds 9
    Don't just write down 10 in the units column = wrong answer like 1010! When any column sum is 10 or more, you must write the ones digit and carry the tens digit to the next column. Always carry over when the sum is two digits.

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?

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Carrying means when you add digits and get 10 or more, you write down the ones digit and move the tens digit to the next column on the left. Think of it as borrowing space from the next column!

Why do I need to align the numbers properly?

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Proper alignment ensures you're adding like place values together - ones with ones, tens with tens. Misalignment leads to adding wrong digits and getting incorrect answers.

What if I get confused about which direction to add?

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Always start from the rightmost column (units place) and work your way left. This ensures you handle any carrying correctly as you move through each place value.

How can I double-check my vertical addition?

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Try adding the numbers horizontally using mental math or a different method. Also, estimate first: 12+8812 + 88 should be close to 10+90=10010 + 90 = 100.

What happens if I have to carry multiple times?

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That's normal! Just handle one column at a time. Add the digits in that column plus any carry from the previous column, then continue to the next column on the left.

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