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

Determine the numerical value of the shaded area:

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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