Place Value Problem: Build Number with 9 Hundreds, 5 Tens, 1 One

Place Value Construction with Three-Digit Numbers

Number of ones: 1

Number of tens: 5

Number of hundreds: 9

Determine the correct number according to the given place values:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:09 Let's find the number together.
00:12 Place each digit in the right spot, based on the information we have.
00:16 Great job! And that's how we solve this problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Number of ones: 1

Number of tens: 5

Number of hundreds: 9

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 given place values. Let's proceed with the solution:

  • Step 1: Identify the digits for each place value.

The problem states:

- The number of ones is 1.
- The number of tens is 5.
- The number of hundreds is 9.

  • Step 2: Use these digits to form the number.

In the decimal system:

  • The ones place contributes 1×1=1 1 \times 1 = 1 .
  • The tens place contributes 5×10=50 5 \times 10 = 50 .
  • The hundreds place contributes 9×100=900 9 \times 100 = 900 .

We add these contributions to get the number:

900+50+1=951 900 + 50 + 1 = 951

Conclusion: Thus, the correct number according to the given place values is 951 951 .

Matching with provided choices:

  • Choice 1: 915 – Incorrect
  • Choice 2: 950 – Incorrect
  • Choice 3: 951 – Correct
  • Choice 4: 955 – Incorrect

Therefore, the answer is choice 3: 951\textbf{951}.

3

Final Answer

951

Key Points to Remember

Essential concepts to master this topic
  • Place Value Rule: Each position has a specific value: ones, tens, hundreds
  • Technique: Multiply digit by place value: 9×100 + 5×10 + 1×1
  • Check: Count digits in each position: 951 has 9 hundreds, 5 tens, 1 one ✓

Common Mistakes

Avoid these frequent errors
  • Writing digits in wrong order
    Don't write 159 when you have 9 hundreds, 5 tens, 1 one = completely wrong number! This mixes up the place values and ignores their positional meaning. Always write the hundreds digit first, tens digit second, ones digit last.

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

How do I remember which digit goes where?

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Think of it like building blocks! Start with the biggest place value (hundreds) and work down. If you have 9 hundreds, that's your leftmost digit. Then 5 tens goes in the middle, and 1 one goes on the right.

What if I get confused about place values?

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Use a place value chart! Draw three columns labeled 'Hundreds', 'Tens', 'Ones' and put each digit in its correct column. This visual helps you see exactly where each digit belongs.

Why can't 915 be the answer?

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Because 915 means 9 hundreds, 1 ten, 5 ones - but the problem asks for 5 tens and 1 one. The digits are in the wrong positions!

How do I check if my three-digit number is correct?

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Count each place value separately: In 951, you have 9 in hundreds place (9 hundreds), 5 in tens place (5 tens), and 1 in ones place (1 one). Match these to what the problem asks for!

What's the fastest way to build the number?

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Write down the digits in order: hundreds first, then tens, then ones. So 9 hundreds, 5 tens, 1 one becomes 9-5-1, which is 951!

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