Represent numbers with base-ten blocks

Base-ten blocks model whole numbers through 1,000 by representing 1, 10, 100, and 1,000 as units, rods, flats, and cubes, respectively; the value of a collection is the sum of its place-value units. This representation makes clear that each place is ten times the value of the place to its right and that ten units can be exchanged for one unit of the next place, supporting accurate interpretation of digits and regrouping; decimals and larger, more generalized numbers are not included.

Detailed Explanation: Represent numbers with base-ten blocks

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

A unit represents $1$ .
A rod represents $(10)$ .
A flat represents $(100)$ .
A cube represents $(1{,}000)$ .

Each block to the left is worth $(10)$ times as much as the block to its right. For example, $(10)$ units can be traded for $1$ rod.

Example: Represent $(326)$

Look at each digit from left to right:

The $3$ is in the hundreds place, so use 3 flats:

3 \times 100 = 300

The $2$ is in the tens place, so use 2 rods:

2 \times 10 = 20

The $6$ is in the ones place, so use 6 units:

6 \times 1 = 6

So, $(326)$ is represented by 3 flats, 2 rods, and 6 units.

Check the value:

300+20+6=326

Therefore, the blocks show $(326)$ .

Learn by doing: Represent numbers with base-ten blocks

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

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