Place Value Blocks: Interpreting Base-10 Visual Number Representation

Q: How do I know which blocks represent hundreds versus tens?

Look at the size and grid pattern! Hundreds blocks are large squares divided into 10×10 grids. Tens are long rectangles with 10 squares in a row. Ones are individual small squares.

Q: What if a hundreds block isn't completely filled?

Count only the completely shaded areas. A partially filled hundreds block means you need to count the individual squares inside it as tens and ones instead.

Q: Do I need to count every single square?

No! That's the beauty of place value blocks. One complete hundreds block = 100, one tens strip = 10, one unit square = 1. Count by groups, not individual squares.

Q: What if I see partial blocks that confuse me?

Focus on the completely filled blocks first. Count those, then carefully examine any partial areas to see if they form complete tens or are just individual ones.

Base-10 Visual Counting with Hundreds Grids

What number is represented below?

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Step-by-step written solution

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Understand the problem

What number is represented below?

Step-by-step solution

To solve this problem, we will determine the number represented by the graphic depiction:

Firstly, observe the blocks in the SVG. The diagram likely breaks down into hundreds, tens, and ones. Let's count each type.
There are 2 fully shaded blocks in the hundreds area, each representing $100$ , contributing $200$ .
In the tens area, there are 3 fully shaded blocks, each representing $10$ , contributing $30$ .
In the ones area, there seem to be 2 single shaded blocks representing one unit each, contributing $2$ .

Combine the contributions to get the final number: $200 + 30 + 2 = 232$ . This corresponds to the numerical representation using the grid structure given.

Therefore, the number represented by the figure is $232$ .

Final Answer

$232$

Key Points to Remember

Essential concepts to master this topic

Structure: Identify hundreds blocks, tens strips, and individual unit squares
Method: Count each place value separately: 2 hundreds = 200, 3 tens = 30, 2 ones = 2
Verification: Add place values together and check total makes sense: 200 + 30 + 2 = 232 ✓

Common Mistakes

Avoid these frequent errors

Counting individual grid squares instead of recognizing block values
Don't count every tiny square in a hundreds block = massive numbers like 20,000! This ignores that each large block represents exactly 100. Always recognize that one complete hundreds grid equals 100, one tens strip equals 10, and count by those values.

Practice Quiz

Test your knowledge with interactive questions

What number do the blue squares below represent?

FAQ

Everything you need to know about this question

How do I know which blocks represent hundreds versus tens?

Look at the size and grid pattern! Hundreds blocks are large squares divided into 10×10 grids. Tens are long rectangles with 10 squares in a row. Ones are individual small squares.

What if a hundreds block isn't completely filled?

Count only the completely shaded areas. A partially filled hundreds block means you need to count the individual squares inside it as tens and ones instead.

Do I need to count every single square?

No! That's the beauty of place value blocks. One complete hundreds block = 100, one tens strip = 10, one unit square = 1. Count by groups, not individual squares.

How can I double-check my counting?

Try counting the blocks in a different order, or break down your answer: $232 = 2 \text{ hundreds} + 3 \text{ tens} + 2 \text{ ones}$ . Does this match what you see in the diagram?

What if I see partial blocks that confuse me?

Focus on the completely filled blocks first. Count those, then carefully examine any partial areas to see if they form complete tens or are just individual ones.

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