Place Value to 1,000: Concrete & Pictorial

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

Building Big Numbers with Place Value Power!

Hey, Math Explorer! Have you ever built something awesome with LEGOs? You use tiny single blocks, long skinny blocks, and big flat blocks to create amazing castles or spaceships. Counting big numbers is a lot like that! We use small pieces, medium pieces, and big pieces to build any number we can imagine, all the way up to 1,000!

In math, our building blocks are called base-ten blocks.

A tiny cube is a One (like a single LEGO stud).
A long rod is a Ten. It's made of 10 ones all stuck together!
A big flat square is a Hundred. It's made of 10 ten-rods!

So, if you have 2 flats, 4 rods, and 5 cubes, you've built the number 245! That's two hundreds, four tens, and five ones. See? You're a number architect!

Each digit in a number has its own special job and value, depending on its "place." A 3 in the hundreds place is way bigger than a 3 in the ones place. It's the difference between 300 and just 3!

Key Takeaway: 3 Ways to Show a Number!

Let's look at the number 472:

Standard Form: 472 (The number we usually see)
Word Form: Four hundred seventy-two (How we say it)
Expanded Form: 400 + 70 + 2 (Stretching it out to show the value of each digit!)

Now for a fun challenge! Imagine you have a giant jar of sparkly gems. How would you count them all? You could make groups of ten. Once you have 10 groups of ten, you can bundle them together as a group of one hundred! This system of grouping makes counting huge collections super easy and organized.

Great job today! You are becoming a true place value master. Keep building those big numbers!

Sample questions

1. What number do these base-ten blocks show? 3 hundreds blocks, 2 tens blocks, and 5 ones blocks.

○ 235

○ 352

✓ 325

○ 3205

Answer: 325 — Count how many hundreds, then how many tens, then how many ones. Put them together to make the number.

2. Look at these blocks. What number do they make? 1 hundreds block, 4 tens blocks, and 8 ones blocks.

○ 184

○ 140

○ 1048

✓ 148

Answer: 148 — Start with the biggest blocks (hundreds), then the middle ones (tens), then the smallest ones (ones).

3. If you have 2 hundreds blocks and 7 ones blocks, what number do you have?

○ 27

✓ 207

○ 270

○ 2007

Answer: 207 — There are no tens blocks. What digit do we use to show 'no tens' in a number?

Skills in this topic

Count in hundreds, tens, and ones using base-ten blocks to form numbers up to 1,000.
Represent numbers up to 1,000 using pictorial models (e.g., place value charts, drawings of blocks).
Identify the value of each digit in a 3-digit number (e.g., in 345, the 3 is 300).
Write numbers up to 1,000 in standard, word, and expanded form.
Design a system to count and track a collection of up to 1,000 small items, explaining the role of hundreds, tens, and ones.

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