Place Value Problem: Converting 8 Hundreds, 7 Tens, and 3 Ones to Standard Form

Q: Why does the order of digits matter so much?

Each position has a different value! The hundreds place is worth 100 times more than the ones place. So 8 in the hundreds place means 800, but 8 in the ones place only means 8.

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

Remember the pattern: Hundreds-Tens-Ones always goes from left to right. Think of it like reading - you start from the left with the biggest value first.

Q: What does 'place value' actually mean?

Place value tells us how much each digit is worth based on its position in the number. The same digit can be worth different amounts depending on where it sits!

Q: Can I write the number in expanded form?

Yes! Expanded form helps you see place values clearly: $ 873 = 8 \times 100 + 7 \times 10 + 3 \times 1 $

Place Value Construction with Multi-Digit Numbers

Number of ones: 3

Number of tens: 7

Number of hundreds: 8

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

00:00 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

Follow each step carefully to understand the complete solution

Understand the problem

Number of ones: 3

Number of tens: 7

Number of hundreds: 8

Determine the correct number according to the given place values:

Step-by-step solution

To solve this problem, we'll follow these steps:

Identify the hundreds, tens, and ones place values from the problem statement.
Construct the number by placing each digit in its respective place: hundreds, tens, then ones.

Now, let's work through each step:
Step 1: The problem provides us with the number of ones as 3, the number of tens as 7, and the number of hundreds as 8.
Step 2: In a typical decimal number system, the hundreds digit comes first, followed by the tens digit, and then the ones digit. Hence, the number is constructed as follows:
- Hundreds place: 8
- Tens place: 7
- Ones place: 3
$\text{Number} = 873$

Therefore, the solution to the problem is $873$ .

Final Answer

873

Key Points to Remember

Essential concepts to master this topic

Rule: Arrange digits from left to right: hundreds, tens, ones
Technique: Write 8 hundreds + 7 tens + 3 ones = 873
Check: Count backwards: 873 has 8 hundreds, 7 tens, 3 ones ✓

Common Mistakes

Avoid these frequent errors

Writing digits in the wrong order
Don't write the digits as given in the problem order like 3-7-8 = 378! This ignores place value positions and creates a completely different number. Always arrange digits by place value: hundreds first, then tens, then ones.

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 does the order of digits matter so much?

Each position has a different value! The hundreds place is worth 100 times more than the ones place. So 8 in the hundreds place means 800, but 8 in the ones place only means 8.

What if I get confused about which digit goes where?

Remember the pattern: Hundreds-Tens-Ones always goes from left to right. Think of it like reading - you start from the left with the biggest value first.

How do I double-check my answer is correct?

Break down your number by place value! For 873:

8 is in hundreds place = 800
7 is in tens place = 70
3 is in ones place = 3

Total: 800 + 70 + 3 = 873

What does 'place value' actually mean?

Place value tells us how much each digit is worth based on its position in the number. The same digit can be worth different amounts depending on where it sits!

Can I write the number in expanded form?

Yes! Expanded form helps you see place values clearly: $873 = 8 \times 100 + 7 \times 10 + 3 \times 1$

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