Solve Vertical Addition: 12 + 2 Step-by-Step

Vertical Addition with Two-Digit Numbers

12+  2776 \begin{aligned} &12 \\ +& \\ &~~2 \\ &\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 calculate the sum of 2 digits, and then place
00:06 Let's start by adding ones with ones, place the solution
00:09 Place 0 where there is no digit
00:12 Add tens with tens, place the solution
00:15 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+  2776 \begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned}

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Step 1: Align the numbers vertically by place value. We have:
    12+02 \begin{array}{c} 12 \\ + \\ \phantom{0}2 \\ \hline \end{array}

  • Step 2: Start from the rightmost digits in the units column. Add 22 (from the bottom number) to 22 (from the top number).
    x2+2=4\phantom{x}2 + 2 = 4

  • Step 3: Now, move to the next column. We have 11 in the tens column only from the top number, so it's 1+0=11 + 0 = 1.

  • Step 4: Combine the sums from each column starting from the left to form the final answer: 1414.

Therefore, the solution to the problem is 1414, which corresponds to choice 4.

3

Final Answer

14

Key Points to Remember

Essential concepts to master this topic
  • Alignment Rule: Stack numbers by place value with units under units
  • Add Technique: Start from rightmost column: 2 + 2 = 4
  • Verify Method: Check by adding horizontally: 12 + 2 = 14 ✓

Common Mistakes

Avoid these frequent errors
  • Not aligning numbers properly by place value
    Don't write 12 + 2 as 12 + 20 = 32! This happens when you don't align the 2 under the units column. Always stack the single digit 2 directly under the 2 in 12's units place.

Practice Quiz

Test your knowledge with interactive questions

\( \begin{aligned} &12 \\ +& \\ &~~2 \\ &\underline{\phantom{776}} & \\ \end{aligned} \)

FAQ

Everything you need to know about this question

Why do I need to align the numbers in columns?

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Proper alignment ensures you're adding like place values together. Units go with units, tens with tens. Without alignment, you might accidentally add a units digit to a tens digit!

What if one number has fewer digits than the other?

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That's normal! Just imagine invisible zeros in the empty places. For example, 2 is really 02, so you add 0 + 1 = 1 in the tens column.

Should I always start adding from the right side?

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Yes, always! Start from the rightmost column (units) and work left. This helps you handle any carrying that might be needed in more complex problems.

How can I double-check my vertical addition?

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Try adding the numbers horizontally (12 + 2) or use a different order. You can also use mental math: 12 + 2 is like counting up 2 from 12.

What if I get confused about which number goes on top?

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It doesn't matter which number goes on top in addition! 12+2 12 + 2 gives the same answer as 2+12 2 + 12 . Choose whatever feels easier to you.

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