Represent numbers with base-ten blocks

A quantity through 999 is represented with base-ten blocks as a combination of hundreds, tens, and ones, with each block value determined by its place and ten of one unit equivalent to one of the next. This representation supports composing and decomposing numbers, interpreting zero as an empty place, and connecting concrete groupings to written three-digit numerals; decimals, negative numbers, and numbers beyond this range are not included.

Detailed Explanation: Represent numbers with base-ten blocks

Base-ten blocks show the value of each place in a number:

A hundred flat is worth $100$ .
A ten rod is worth $10$ .
A one cube is worth $1$ .
Ten ones can be exchanged for one ten, and ten tens can be exchanged for one hundred.

Example: Represent $305$ with base-ten blocks

Look at the hundreds digit:
The number $305$ has $3$ in the hundreds place. Use 3 hundred flats.
Look at the tens digit:
The number has $0$ in the tens place. Use 0 ten rods. This means there are no tens.
Look at the ones digit:
The number has $5$ in the ones place. Use 5 one cubes.

So, $305$ is represented by:

3 \text{ hundreds} + 0 \text{ tens} + 5 \text{ ones}

The blocks show:

300 + 0 + 5 = 305

Therefore, use 3 hundred flats, no ten rods, and 5 one cubes to represent $305$ .

Learn by doing: Represent numbers with base-ten blocks

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Base 10 Blocks - Counting - Picture to Number - Hundreds, Tens, and Ones

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