Place Value Practice: Convert 1 Hundred, 3 Tens, and 9 Ones to a Number

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

The order of the digits matters based on place value, not the order they're listed! Even if you see "9 ones, 3 tens, 1 hundred", you still write it as 139 because hundreds come first in our number system.

Q: How do I remember which place value goes where?

Think of it like addresses: the biggest place value (hundreds) goes on the left, then tens in the middle, then ones on the right. It's always left to right from biggest to smallest!

Q: What if one of the place values is zero?

You still need to show that zero! For example, if you have 2 hundreds, 0 tens, 5 ones, write it as 205. The zero holds the tens place so the other digits stay in correct positions.

Q: Can I check my answer by adding the place values?

Absolutely! Calculate $ 100 \times 1 + 10 \times 3 + 1 \times 9 = 100 + 30 + 9 = 139 $. If this matches your number, you're correct!

Q: What's the difference between 139 and 193?

Big difference! 139 means 1 hundred, 3 tens, 9 ones. But 193 means 1 hundred, 9 tens, 3 ones. The position of each digit completely changes its value!

Place Value Construction with Multi-Digit Numbers

Number of ones: 9

Number of tens: 3

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

00:10 Let's find the number together.

00:13 Put each digit in its correct position based on the information given.

00:18 And there you have it! That's how we solve the problem.

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Number of ones: 9

Number of tens: 3

Number of hundreds: 1

Determine the correct number according to the above place values:

Step-by-step solution

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

Step 1: Assign each number to the correct place value.
Step 2: Construct the number by adding each weighted position.

Now, let's work through each step:
Step 1: We have three digits to place:
- We assign **9** to the ones (units) position.
- We assign **3** to the tens position.
- We assign **1** to the hundreds position.

Step 2: Combine these placements:
- The number is constructed as follows: $100 \times 1 + 10 \times 3 + 1 \times 9$
- This simplifies to: $100 + 30 + 9 = 139$ .

Upon comparing with the provided answer choices, the correct choice is clearly $\boxed{139}$ .

Therefore, the solution to the problem is $139$ .

Final Answer

139

Key Points to Remember

Essential concepts to master this topic

Place Values: Hundreds = 100s, tens = 10s, ones = 1s
Construction: Multiply each digit by its place value: $1 \times 100 + 3 \times 10 + 9 \times 1$
Verification: Check final number matches given place values: 139 has 1 hundred, 3 tens, 9 ones ✓

Common Mistakes

Avoid these frequent errors

Writing digits in the order given instead of correct place value positions
Don't write 1, 3, 9 as 139 just because that's the order given = wrong reasoning! Students often ignore place value positions and just concatenate digits. Always place each digit in its correct position: hundreds digit goes 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 can't I just write the numbers in the order they're given?

The order of the digits matters based on place value, not the order they're listed! Even if you see "9 ones, 3 tens, 1 hundred", you still write it as 139 because hundreds come first in our number system.

How do I remember which place value goes where?

Think of it like addresses: the biggest place value (hundreds) goes on the left, then tens in the middle, then ones on the right. It's always left to right from biggest to smallest!

What if one of the place values is zero?

You still need to show that zero! For example, if you have 2 hundreds, 0 tens, 5 ones, write it as 205. The zero holds the tens place so the other digits stay in correct positions.

Can I check my answer by adding the place values?

Absolutely! Calculate $100 \times 1 + 10 \times 3 + 1 \times 9 = 100 + 30 + 9 = 139$ . If this matches your number, you're correct!

What's the difference between 139 and 193?

Big difference! 139 means 1 hundred, 3 tens, 9 ones. But 193 means 1 hundred, 9 tens, 3 ones. The position of each digit completely changes its value!

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