Addition with Place Value: Adding 3 Tens and 4 Units to 61

Place Value Addition with Ten-Unit Decomposition

What number will we get if we add 3 tens and 4 units to the number 61?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

What number will we get if we add 3 tens and 4 units to the number 61?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the initial number.
  • Step 2: Add 3 tens to the initial number.
  • Step 3: Add 4 units to the result of Step 2.

Now, let's work through each step:
Step 1: The problem gives us the initial number as 61 61 .
Step 2: Add 3 tens (which is 30 30 ) to 61 61 :
61+30=91 61 + 30 = 91 .
Step 3: Add 4 units to 91 91 :
91+4=95 91 + 4 = 95 .

Therefore, the resulting number after adding 3 tens and 4 units to 61 61 is 95 95 .

3

Final Answer

95 95

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Tens add to tens column, units add to units column
  • Technique: Convert 3 tens to 30, then 61 + 30 + 4 = 95
  • Check: Count by tens from 61: 71, 81, 91, then add 4 units = 95 ✓

Common Mistakes

Avoid these frequent errors
  • Adding 3 and 4 to get 7, then adding to 61
    Don't add 3 + 4 = 7 first and get 61 + 7 = 68! This ignores place value completely and treats tens like units. Always convert tens to their proper value: 3 tens = 30, then add separately.

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 can't I just add 3 + 4 + 61?

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Because 3 tens doesn't equal 3! Place value matters - 3 tens means 3×10=30 3 \times 10 = 30 . You must convert to actual values first.

What does '3 tens' actually mean?

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3 tens means 3 groups of 10, which equals 30 30 . Think of it like having 3 ten-dollar bills - that's $30, not $3!

Can I add the tens and units in any order?

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Yes! You can do 61+30+4 61 + 30 + 4 or 61+4+30 61 + 4 + 30 . Addition is commutative, so the order doesn't change the result.

How do I remember to convert tens to their value?

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Always think: "How much is this worth?" 3 tens = 3 × 10 = 30. Write it down if needed:

  • 3 tens = 30
  • 4 units = 4
  • Then add: 61 + 30 + 4

What if I have more tens or units to add?

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Same method! Convert each part: 5 tens = 50, 7 units = 7. Then add everything together. The key is always converting tens to their proper place value first.

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