Place Value Calculation: Converting 8 Hundreds, 2 Tens, and 5 Ones

Q: Why can't I just write the numbers in the order given?

The order in the problem (ones: 5, tens: 2, hundreds: 8) is just telling you what each digit represents. You must arrange them by place value: hundreds place first, tens place second, ones place last!

Q: How do I remember which digit goes where?

Think of it like building from biggest to smallest: Start with hundreds (leftmost), then tens (middle), then ones (rightmost). It's like 800 + 20 + 5 = 825.

Q: What if there are 0 hundreds or 0 tens?

No problem! If you have 0 in any place, just write 0 in that position. For example: 0 hundreds, 4 tens, 7 ones = 047 = 47.

Q: Can I solve this using addition instead?

Absolutely! Calculate $ 8 \times 100 + 2 \times 10 + 5 \times 1 = 800 + 20 + 5 = 825 $. Both methods give the same answer!

Q: How do I check if my answer makes sense?

Break your answer back down: In 825, you should see 8 hundreds, 2 tens, and 5 ones. If it matches the original problem, you're correct!

Place Value Construction with Multi-Digit Numbers

Number of ones: 5

Number of tens: 2

Number of hundreds: 8

Determine the correct number according to the given place values:

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

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: 5

Number of tens: 2

Number of hundreds: 8

Determine the correct number according to the given place values:

Step-by-step solution

To solve this problem, let's assign the given values to their respective decimal place values and construct the number:

Step 1: Assign the values to their decimal places:
- Hundreds: We have 8 -> This means 8 in the hundreds place -> $8 \times 100 = 800$ .
- Tens: We have 2 -> This means 2 in the tens place -> $2 \times 10 = 20$ .
- Ones: We have 5 -> This is simply 5 -> $5$ .
Step 2: Sum these values to form the number:
- Total: $800 + 20 + 5 = 825$ .

Thus, the number composed using the given place values is $825$ .

Final Answer

825

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit position represents a power of ten
Technique: Multiply each digit by its place value: 8×100 + 2×10 + 5×1
Check: Verify by reading left to right: hundreds, tens, ones = 825 ✓

Common Mistakes

Avoid these frequent errors

Writing digits in the order they appear in the problem
Don't write 5, 2, 8 just because ones come first in the problem = 528 which is wrong! The order in the problem description doesn't match place value positions. Always arrange digits by their actual place value: hundreds first, then tens, then ones.

Practice Quiz

Test your knowledge with interactive questions

Determine the number of tenths in the following number:

1.3

FAQ

Everything you need to know about this question

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

The order in the problem (ones: 5, tens: 2, hundreds: 8) is just telling you what each digit represents. You must arrange them by place value: hundreds place first, tens place second, ones place last!

How do I remember which digit goes where?

Think of it like building from biggest to smallest: Start with hundreds (leftmost), then tens (middle), then ones (rightmost). It's like 800 + 20 + 5 = 825.

What if there are 0 hundreds or 0 tens?

No problem! If you have 0 in any place, just write 0 in that position. For example: 0 hundreds, 4 tens, 7 ones = 047 = 47.

Can I solve this using addition instead?

Absolutely! Calculate $8 \times 100 + 2 \times 10 + 5 \times 1 = 800 + 20 + 5 = 825$ . Both methods give the same answer!

How do I check if my answer makes sense?

Break your answer back down: In 825, you should see 8 hundreds, 2 tens, and 5 ones. If it matches the original problem, you're correct!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Decimal Fractions - Basic questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime