Place Value Challenge: Form a Number with 7 Hundreds, 3 Tens, and 2 Ones

Q: Why can't I just write the digits in the order they're given?

Because place value position matters! The digit 7 means 700 when in hundreds place, but only 7 when in ones place. You must put each digit in its correct position.

Q: How do I remember which place is which?

Think biggest to smallest from left to right: Hundreds, Tens, Ones. The hundreds place is always the leftmost digit in a 3-digit number.

Q: What if I get confused about which digit goes where?

Make a simple chart: H T O (Hundreds Tens Ones). Fill in each column with the given number of each place value. This visual helps prevent mixing up positions.

Q: Can I check my answer a different way?

Yes! Break down your final number: 732 = 700 + 30 + 2. Count: that's 7 hundreds, 3 tens, and 2 ones - exactly what was asked for!

Q: What does 'number of hundreds' actually mean?

'Number of hundreds' means how many groups of 100 are in the number. So 7 hundreds = 7 × 100 = 700, and this 7 goes in the hundreds place.

Place Value Construction with Three-Digit Numbers

Number of ones: 2

Number of tens: 3

Number of hundreds: 7

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

00:10 Let's find the number we're looking for.

00:13 Place each digit in the right spot, as shown in the data.

00:17 And that is how we solve the problem. Great job!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Number of ones: 2

Number of tens: 3

Number of hundreds: 7

Determine the correct number according to the given place values:

Step-by-step solution

To solve this problem, we aim to construct a number using the digits provided for each place value. Here's how we do it:

Step 1: Identify the hundreds place digit.
The number of hundreds is given as 7. Hence, the hundreds place is occupied by 7.
Step 2: Identify the tens place digit.
The number of tens is given as 3. Thus, the tens place is occupied by 3.
Step 3: Identify the ones place digit.
The number of ones is given as 2. So, the ones place is occupied by 2.
Step 4: Assemble the digits based on their place values.
Assembling these digits together, from hundreds to ones, we get the number 732.

Therefore, the answer is $732$ which corresponds to choice 3 in the given options.

Final Answer

732

Key Points to Remember

Essential concepts to master this topic

Rule: Each digit position represents a specific place value power
Technique: Start with hundreds place: 7 hundreds = 700, then add tens and ones
Check: Count actual place values: 732 has 7 hundreds, 3 tens, 2 ones ✓

Common Mistakes

Avoid these frequent errors

Reading digits from left to right without considering place value
Don't just arrange digits 732 randomly or read them as separate numbers! This ignores what each position actually represents. Always identify hundreds place first (leftmost), then tens (middle), then ones (rightmost).

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 the digits in the order they're given?

Because place value position matters! The digit 7 means 700 when in hundreds place, but only 7 when in ones place. You must put each digit in its correct position.

How do I remember which place is which?

Think biggest to smallest from left to right: Hundreds, Tens, Ones. The hundreds place is always the leftmost digit in a 3-digit number.

What if I get confused about which digit goes where?

Make a simple chart: H T O (Hundreds Tens Ones). Fill in each column with the given number of each place value. This visual helps prevent mixing up positions.

Can I check my answer a different way?

Yes! Break down your final number: 732 = 700 + 30 + 2. Count: that's 7 hundreds, 3 tens, and 2 ones - exactly what was asked for!

What does 'number of hundreds' actually mean?

'Number of hundreds' means how many groups of 100 are in the number. So 7 hundreds = 7 × 100 = 700, and this 7 goes in the hundreds place.

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