Addition with Place Value: Adding 2 Tens and 2 Units to 34

Place Value Addition with Mixed Units

What number do we get if we add 2 tens and 2 units to the number 34?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What number do we get if we add 2 tens and 2 units to the number 34?

2

Step-by-step solution

To solve this problem, we'll perform the addition step-by-step, carefully keeping track of place values.

First, we start with the number 34.
We need to add 2 tens, which is equivalent to adding 20. Thus:
34+20=54 34 + 20 = 54

Next, add 2 units to the new total:
54+2=56 54 + 2 = 56

The final number we get after adding 2 tens and 2 units to 34 is 56\mathbf{56}.

3

Final Answer

56 56

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Tens represent groups of 10, units are individual numbers
  • Technique: Add tens first: 34 + 20 = 54, then units: 54 + 2 = 56
  • Check: Break down final answer: 56 has 5 tens and 6 units ✓

Common Mistakes

Avoid these frequent errors
  • Adding tens and units as separate digits
    Don't add 2 tens as just '2' to get 34 + 2 + 2 = 38! This ignores place value completely and gives the wrong answer. Always convert tens to their actual value: 2 tens = 20, then add 34 + 20 + 2 = 56.

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

What's the difference between 2 tens and just the number 2?

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2 tens means 20 (two groups of ten), while 2 units means 2 (just two individual items). Think of it like having 2 bags of 10 marbles versus 2 loose marbles!

Can I add the tens and units together first?

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Yes! You can add 2 tens+2 units=20+2=22 2 \text{ tens} + 2 \text{ units} = 20 + 2 = 22 , then add 34+22=56 34 + 22 = 56 . Both methods give the same answer!

How do I know which digit represents tens and which represents units?

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In any two-digit number, the left digit shows tens and the right digit shows units. In 34: the 3 is in the tens place (30) and 4 is in the units place.

What if I get confused about place values?

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Use a place value chart! Write tens and units in separate columns. This helps you see that 2 tens goes in the tens column as 20, not as 2.

Why can't I just add 34 + 2 + 2?

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Because this treats both '2s' as units! You're ignoring that 2 tens = 20. The correct calculation is 34+20+2=56 34 + 20 + 2 = 56 .

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