Place Value Composition: Building 812 from Hundreds (8), Tens (1), and Ones (2)

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

Because position matters in our number system! The digit 8 means 800 when in the hundreds place, but only 8 when in the ones place. Always put each digit in its correct position.

Q: How do I remember which place is which?

Think from right to left: ones, tens, hundreds. Or remember that as numbers get bigger, they move left. The rightmost digit is always the ones place.

Place Value Understanding with Three-Digit Composition

Number of ones: 2

Number of tens: 1

Number of hundreds: 8

Determine the correct number according to the above 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,

00:06 and this is the solution to the question

Step-by-step written solution

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Understand the problem

Number of ones: 2

Number of tens: 1

Number of hundreds: 8

Determine the correct number according to the above place values:

Step-by-step solution

To determine the number based on place values:

Step 1: Calculate hundreds. There are $8$ hundreds, so $8 \times 100 = 800$ .
Step 2: Calculate tens. There is $1$ ten, so $1 \times 10 = 10$ .
Step 3: Calculate ones. There are $2$ ones, so $2 \times 1 = 2$ .

Now sum the results of these calculations:

Total = hundreds + tens + ones $= 800 + 10 + 2 = 812$ .

Thus, the number formed by the given place values is $812$ .

Final Answer

812

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each digit's position determines its value contribution
Technique: Multiply each digit by its place: $8 \times 100 + 1 \times 10 + 2 \times 1$
Check: Read final number left to right: hundreds, tens, ones = 812 ✓

Common Mistakes

Avoid these frequent errors

Writing digits in given order without considering place value
Don't write 2-1-8 just because ones are given first = 218! This ignores that position determines value, not the order information is given. Always arrange digits by place value: hundreds in hundreds place, tens in tens place, ones in ones place.

Practice Quiz

Test your knowledge with interactive questions

Which figure represents 0.1?

FAQ

Everything you need to know about this question

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

Because position matters in our number system! The digit 8 means 800 when in the hundreds place, but only 8 when in the ones place. Always put each digit in its correct position.

How do I remember which place is which?

Think from right to left: ones, tens, hundreds. Or remember that as numbers get bigger, they move left. The rightmost digit is always the ones place.

What if I have 0 in one of the places?

Zero acts as a placeholder! If you have 8 hundreds, 0 tens, and 2 ones, you still write 802. The zero shows there are no tens.

Can I check my answer another way?

Yes! Break down your final number: 812 = 800 + 10 + 2. This should match $8 \times 100 + 1 \times 10 + 2 \times 1$ .

What's the difference between 812 and 821?

In 812: 8 is in hundreds place (800), 1 in tens (10), 2 in ones (2). In 821: 8 is in hundreds (800), 2 in tens (20), 1 in ones (1). Position changes the value!

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