Place Value Practice: Converting 6 Ones, 6 Tens, and 6 Hundreds to a Number

Place Value Construction with Three-Digit Numbers

Number of ones: 6

Number of tens: 6

Number of hundreds: 6

Determine the correct number according to the given place values:

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Step-by-step video solution

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00:00 Find the number
00:03 Place the digits in the appropriate position according to the given data
00:08 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

Number of ones: 6

Number of tens: 6

Number of hundreds: 6

Determine the correct number according to the given place values:

2

Step-by-step solution

To solve the problem of determining the number, we will use the place values provided and construct the number accordingly:

  • Step 1: The number of ones is 6, indicating the digit in the units place is 66.
  • Step 2: The number of tens is 6, indicating the digit in the tens place is 66.
  • Step 3: The number of hundreds is 6, indicating the digit in the hundreds place is 66.

Having established the place values and corresponding digits, the final number is constructed as follows:
- Hundreds place is 66, so it contributes 600600.
- Tens place is 66, so it contributes 6060.
- Ones place is 66, so it contributes 66.

Therefore, by adding these values, we get the number 666666.

Among the choices provided, the option 666 matches our constructed number.

Therefore, the solution to the problem is 666666.

3

Final Answer

666

Key Points to Remember

Essential concepts to master this topic
  • Rule: Each digit's position determines its value contribution to the number
  • Technique: Add position values: 600 + 60 + 6 = 666
  • Check: Count digits in each position: 6 hundreds, 6 tens, 6 ones ✓

Common Mistakes

Avoid these frequent errors
  • Adding the digits instead of their place values
    Don't just add 6 + 6 + 6 = 18! This ignores place value completely and gives a tiny wrong answer. Always multiply each digit by its place value first: 6×100 + 6×10 + 6×1 = 666.

Practice Quiz

Test your knowledge with interactive questions

Determine the numerical value of the shaded area:

FAQ

Everything you need to know about this question

Why can't I just write down 666 without doing the math?

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While the pattern makes it obvious here, practicing the steps helps you solve harder problems! When you have 3 hundreds, 7 tens, and 2 ones, you'll know exactly how to get 372.

What does 'place value' actually mean?

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Place value means the position of a digit determines its worth. The same digit 6 means 6 ones, 60 (6 tens), or 600 (6 hundreds) depending on where it sits!

How do I remember which position is which?

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Start from the right and work left: ones, tens, hundreds, thousands. Each position is 10 times bigger than the one to its right!

What if I have different numbers of each place value?

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Same process! For example: 4 hundreds + 2 tens + 8 ones = 4×100+2×10+8×1=4284 \times 100 + 2 \times 10 + 8 \times 1 = 428

Can I have zero in some positions?

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Absolutely! If you have 5 hundreds, 0 tens, and 3 ones, you get 503. The zero holds the tens place but contributes no value.

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