Place Value Practice: Build a Number with 6 Ones, 3 Tens, and 1 Hundred

Place Value Construction with Three-Digit Numbers

Number of ones: 6

Number of tens: 3

Number of hundreds: 1

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
00:07 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: 3

Number of hundreds: 1

Determine the correct number according to the given place values:

2

Step-by-step solution

To solve this problem, we need to construct a number based on the specified digits for each place value.

  • Step 1: Identify each place value.
    • Hundreds place: 1
    • Tens place: 3
    • Ones place: 6
  • Step 2: Construct the number using these digits.
    • The hundreds digit is 11.
    • The tens digit is 33.
    • The ones digit is 66.
  • Step 3: Combine these digits to form the number 136136.

The number formed by placing 1 in the hundreds place, 3 in the tens place, and 6 in the ones place is 136\textbf{136}.

Therefore, the correct number is 136136.

3

Final Answer

136

Key Points to Remember

Essential concepts to master this topic
  • Rule: Place digits according to their specified position values
  • Technique: Read hundreds first, then tens, then ones: 1-3-6
  • Check: Count actual place values: 1 hundred + 3 tens + 6 ones = 136 ✓

Common Mistakes

Avoid these frequent errors
  • Reading digits in the order they appear in the problem
    Don't write 631 by reading '6 ones, 3 tens, 1 hundred' left to right = wrong number! This ignores place value positions. Always arrange digits by place value: hundreds-tens-ones position.

Practice Quiz

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Which figure represents 0.1?

FAQ

Everything you need to know about this question

Why can't I just write the digits in the order given?

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Place value determines where each digit goes, not the order they're mentioned! 6 ones means 6 goes in the ones place (rightmost), while 1 hundred goes in the hundreds place (leftmost).

How do I remember which place is which?

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Think H-T-O from left to right: Hundreds-Tens-Ones. The rightmost digit is always ones, middle is tens, leftmost is hundreds in a 3-digit number.

What if there are 0 tens or 0 ones?

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You still need to show the zero in that place! For example, 2 hundreds, 0 tens, 5 ones becomes 205, not 25.

Can I check my answer by adding up the place values?

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Yes! Break down your number: 136=100+30+6136 = 100 + 30 + 6. This equals 1 hundred + 3 tens + 6 ones, confirming your answer is correct.

What's the difference between '3 tens' and just '3'?

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3 tens means 30 (three groups of ten), while 3 means just 3. The word 'tens' tells you the place value, not just the digit!

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