Place Value Problem: Converting 3 Ones, 2 Tens, 1 Hundred to Standard Form

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

Because place value position matters more than the order given! The digit 1 represents 100 when it's in the hundreds place, not just 1. Always think about where each digit belongs in the number.

Q: How do I remember which place is which?

Start from the right and work left: ones, tens, hundreds. Think of it like counting: 1, 10, 100. Each place is 10 times bigger than the place to its right!

Q: What if I have zero in one of the places?

That's totally fine! If you have 0 tens, you still write the number normally. For example: 2 hundreds, 0 tens, 5 ones = 205. The zero holds the place!

Q: Is there a pattern I can use?

Yes! Always write the number with the largest place value first. So hundreds come first, then tens, then ones. Think: big to small, left to right.

Place Value Understanding with Multi-Digit Construction

Number of ones: 3

Number of tens: 2

Number of hundreds: 1

Determine the correct number according to the above place values:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:09 Okay, let's find the number! Ready to begin?

00:13 Place each digit in the right spot based on the information provided. You've got this!

00:19 And that's how we solve the problem. Well done!

Step-by-step written solution

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Understand the problem

Number of ones: 3

Number of tens: 2

Number of hundreds: 1

Determine the correct number according to the above place values:

Step-by-step solution

To solve this problem, we'll use the concept of place value, where each digit in a number has a different value depending on its position.

Given:

Number of ones: $3$
Number of tens: $2$
Number of hundreds: $1$

Step-by-step explanation:

Step 1: Start with the hundreds place, which contributes $1 \times 100 = 100$ .
Step 2: Next is the tens place, which contributes $2 \times 10 = 20$ .
Step 3: Finally, the ones place contributes $3 \times 1 = 3$ .

Adding these contributions together gives us:

100 + 20 + 3 = 123

The number we are looking for, according to the given place values, is $\textbf{123}$ .

Therefore, the correct choice is:

Choice 1: $123$

Final Answer

123

Key Points to Remember

Essential concepts to master this topic

Place Value Rule: Each position represents powers of ten (ones, tens, hundreds)
Building Method: Start left to right: 1 hundred (100) + 2 tens (20) + 3 ones (3)
Verification: Check by breaking down 123: 1×100 + 2×10 + 3×1 = 100+20+3 ✓

Common Mistakes

Avoid these frequent errors

Writing digits in order given instead of place value positions
Don't write 3, 2, 1 as '321' just because that's the order given = wrong number! This ignores place value completely. Always place each digit in its correct position: hundreds place gets the 1, tens place gets the 2, ones place gets the 3.

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 they're given?

Because place value position matters more than the order given! The digit 1 represents 100 when it's in the hundreds place, not just 1. Always think about where each digit belongs in the number.

How do I remember which place is which?

Start from the right and work left: ones, tens, hundreds. Think of it like counting: 1, 10, 100. Each place is 10 times bigger than the place to its right!

What if I have zero in one of the places?

That's totally fine! If you have 0 tens, you still write the number normally. For example: 2 hundreds, 0 tens, 5 ones = 205. The zero holds the place!

How can I check if my answer is right?

Break your number apart and add up the place values! For 123: $1 \times 100 + 2 \times 10 + 3 \times 1 = 100 + 20 + 3 = 123$ ✓

Is there a pattern I can use?

Yes! Always write the number with the largest place value first. So hundreds come first, then tens, then ones. Think: big to small, left to right.

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