Calculate the Sum: Solving 22 + 36 Step by Step

Two-Digit Addition with Place Value Alignment

22+36= 22+36=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

22+36= 22+36=

2

Step-by-step solution

To solve the addition problem 22+3622 + 36, we will follow these steps:

  • Step 1: Align the numbers vertically based on place value:
  •   22
    +36
    ----

    Step 2: Begin adding from the rightmost column, which is the units place:

    Units: 2+6=82 + 6 = 8. Write 8 under the line in the units place.

    Step 3: Move to the tens column:

    Tens: 2+3=52 + 3 = 5. Write 5 under the line in the tens place.

    At this point, we have summed the digits in each column and written the final result below the other numbers.

      22
    +36
    ----
      58
    

    Therefore, the sum of 22 and 36 is 58\mathbf{58}.

    The correct answer is

    58 58

    .
3

Final Answer

58 58

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Always align numbers by tens and units columns
  • Technique: Start from the rightmost column: 2 + 6 = 8
  • Check: Verify by adding backwards: 58 - 36 = 22 ✓

Common Mistakes

Avoid these frequent errors
  • Adding from left to right instead of right to left
    Don't start with tens place first (2 + 3) = wrong ordering! This causes confusion when carrying is needed and leads to calculation errors. Always start from the rightmost units column and work left.

Practice Quiz

Test your knowledge with interactive questions

If we have 85 blocks in total, how many blocks will remain if we remove 4 tens and 1 one?

FAQ

Everything you need to know about this question

Why do I need to line up the numbers by place value?

+

Lining up numbers ensures you add units to units and tens to tens. Without proper alignment, you might accidentally add a tens digit to a units digit, giving you the wrong answer!

What if I get confused about which column to start with?

+

Always start from the rightmost column (the units place). Think of it like reading backwards - start from the right and move left, just like how you count: ones, tens, hundreds.

How can I double-check my addition is correct?

+

Use subtraction to check! Take your answer and subtract one of the original numbers. If you get the other original number, you're right: 5822=36 58 - 22 = 36

Do I always need to write the numbers vertically?

+

For simple problems like this, you could add horizontally, but vertical alignment is much safer and prevents place value errors, especially as numbers get larger.

What happens if the sum in a column is 10 or more?

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When a column adds up to 10 or more, you carry the extra to the next column on the left. For example: 7 + 5 = 12, so write 2 and carry the 1 to the tens place.

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