Adding One Ten and One Unit to 66: Place Value Problem with Base-10 Blocks

Place Value Addition with Ten-Block Representation

We built the number 66 - what number will we get if we add one ten and one unit?

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

We built the number 66 - what number will we get if we add one ten and one unit?

2

Step-by-step solution

To solve this problem, we need to add one ten (10) and one unit (1) to the number 66.

We'll follow these steps to find the new number:

  • Step 1: Start with the original number, 66 66 .
  • Step 2: Add one ten. This means adding 10 10 to 66 66 .
    66+10=76 66 + 10 = 76 .
  • Step 3: Add one unit to the result from Step 2. This means adding 1 1 to 76 76 .
    76+1=77 76 + 1 = 77 .

Therefore, after adding one ten and one unit to 66, the resulting number is 77 77 .

3

Final Answer

77 77

Key Points to Remember

Essential concepts to master this topic
  • Base-10 System: Each ten-block equals 10 units when adding
  • Sequential Addition: First add 66 + 10 = 76, then 76 + 1 = 77
  • Check: Count total blocks: 6 tens + 1 ten + 6 ones + 1 one = 77 ✓

Common Mistakes

Avoid these frequent errors
  • Adding digits instead of values
    Don't add 66 + 11 = 77 by treating 'one ten and one unit' as the number 11! This ignores place value meaning. Always recognize that 'one ten' means +10 and 'one unit' means +1, so calculate 66 + 10 + 1 = 77.

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 'one ten' and the number 10?

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'One ten' refers to a single ten-block representing the value 10. It's the same as adding 10 to your number! The base-10 blocks help you visualize this place value concept.

Why can't I just add 6 + 1 + 6 + 1?

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Because that ignores place value! The first 6 represents 6 tens (60), not 6 ones. You must add 66+10+1 66 + 10 + 1 , respecting what each digit position means.

How do the blocks in the picture help me solve this?

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The blocks show visual place value! Each large rectangle is a ten-block (worth 10), and each small square is a unit block (worth 1). Count them to see the total value.

What if I added the ten and unit first?

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That works too! You can calculate 10+1=11 10 + 1 = 11 first, then 66+11=77 66 + 11 = 77 . Addition is flexible - the order doesn't change the final answer.

Is there a pattern when adding tens to two-digit numbers?

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Yes! When you add 10 to any two-digit number, the tens digit increases by 1 and the ones digit stays the same. So 66 + 10 = 76, then 76 + 1 = 77.

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