Understanding Place Value to 1,000

Free sample questions, a clear explanation, and 5 practice skills with an AI tutor that guides without giving the answer away.

Place Value Power-Up! Building Numbers to 1,000

Hey, Math Explorer! Did you know that numbers have secret hiding spots? It's true! We call these spots **Place Value**, and understanding them is like having a superpower that tells you how much a digit is *really* worth.

Think about building with blocks. You have tiny single blocks, right? Those are like our Ones. When you snap 10 of them together, you get a long stick. That's a Ten! And if you put 10 of those sticks side-by-side, you get a big flat square. That's a Hundred! Each piece is a different size and has its own special job.

Let's Build a Big Number!

Let's look at the number 345. It's not just a 3, a 4, and a 5 sitting next to each other. Each digit has a job based on its place!

The 3 is in the Hundreds place. It's like having 3 big flat squares. Its value is 300.
The 4 is in the Tens place. That's 4 long sticks! Its value is 40.
The 5 is in the Ones place. Just 5 single blocks. Its value is 5.

When we stretch the number out to see all its parts, we call it Expanded Form. It looks like this: 345 = 300 + 40 + 5

Key Takeaway!

A digit's place is its power! The position of a digit changes everything. Think about the number 28. The 2 means 2 tens (20). But in the number 82, the 2 means just 2 ones (2). Same digit, but a different spot means a totally different value!

You're doing an amazing job, superstar! Now you know how to build and break apart big numbers like a pro. Keep practicing, and you'll be a Place Value Master in no time!

Sample questions

1. What is the value of the digit '4' in the number 452?

○ 4 ones

○ 4 tens

○ 4

✓ 4 hundreds

Answer: 4 hundreds — Remember what place the '4' is in. It's the first digit in a 3-digit number.

2. What is the value of the digit '3' in the number 731?

✓ 3 tens

○ 3 hundreds

○ 3 ones

○ 3

Answer: 3 tens — How many groups of ten does the '3' represent in the middle of the number?

3. What is the value of the digit '9' in the number 189?

○ 9 tens

✓ 9 ones

○ 9 hundreds

○ 90

Answer: 9 ones — The last digit on the right is in the ones place.

Skills in this topic

Identify the value of each digit in a 3-digit number (e.g., 3 hundreds, 4 tens, 5 ones)
Decompose 3-digit numbers into hundreds, tens, and ones using number bonds (e.g., 345 = 300 + 40 + 5)
Compose 3-digit numbers from given hundreds, tens, and ones
Represent numbers in expanded form (e.g., 472 = 400 + 70 + 2)
Justify why the position of a digit changes its value, using examples like 23 vs 32

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