Solve Two-Digit Addition: 35 + 22 Step by Step

Two-Digit Addition with Column Alignment

35+22= 35+22=

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

35+22= 35+22=

2

Step-by-step solution

Let's solve this problem using basic addition:

  • Step 1: Write down the numbers 35 and 22 with the units and tens places aligned:
  •  35
    +22
    ----
    
  • Step 2: Start by adding the units place digits: 5+2=7 5 + 2 = 7 .
  • Step 3: Add the tens place digits: 3+2=5 3 + 2 = 5 .

Combine the results to get the final sum:

 35
+22
----
 57

Therefore, the solution to the problem is 57 57 , which corresponds to choice 2.

3

Final Answer

57 57

Key Points to Remember

Essential concepts to master this topic
  • Alignment: Stack numbers with ones and tens places perfectly lined up
  • Technique: Add ones first (5 + 2 = 7), then tens (3 + 2 = 5)
  • Check: Count up from 35: 36, 37... to 57 is 22 more ✓

Common Mistakes

Avoid these frequent errors
  • Adding digits in wrong order or misaligning place values
    Don't add 3 + 5 + 2 + 2 = 12 or stack numbers incorrectly! This ignores place values and gives completely wrong answers. Always align ones under ones and tens under tens before adding column by column.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

Why do I need to line up the numbers vertically?

+

Place value alignment is crucial! When you stack 35 and 22, the 5 and 2 (ones) must be in the same column, and the 3 and 2 (tens) must align. This ensures you're adding like values together.

What if I prefer to add from left to right?

+

You can add tens first if you want! 30+20=50 30 + 20 = 50 , then 5+2=7 5 + 2 = 7 , giving 50+7=57 50 + 7 = 57 . Both methods work perfectly!

How can I check my addition without a calculator?

+

Try counting up from the larger number! Start at 35 and count 22 more: 36, 37, 38... up to 57. You can also use subtraction: 5722=35 57 - 22 = 35

What happens if the ones column adds up to more than 9?

+

Great question! When ones digits sum to 10 or more, you carry over to the tens column. For example, 37 + 25: 7+5=12 7 + 5 = 12 , so write 2 and carry the 1.

Is there a faster way to add two-digit numbers?

+

Yes! You can use mental math strategies like breaking apart numbers: 35+22=35+20+2=55+2=57 35 + 22 = 35 + 20 + 2 = 55 + 2 = 57 . This method works great once you're comfortable with place values!

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