The image shows a collection of 3D blocks that represent different place values, commonly used in base-10 (decimal) number systems. These are known as
base-10 blocks, and they help visualize numbers by breaking them into thousands, hundreds, tens, and ones.
Let’s analyze each block:
---
1. Red Cube (on the far left)
- This is a
large cube made up of smaller unit cubes.
- Each side appears to be 10 units long.
- So, it represents:
$$
10 \times 10 \times 10 = 1000
$$
- Therefore, this red cube represents
1 thousand.
---
2. Blue Flats (four large squares)
- Each blue flat is a 10×10 square.
- So each flat represents:
$$
10 \times 10 = 100
$$
- There are
4 such flats.
- Total value:
$$
4 \times 100 = 400
$$
---
3. One Blue Flat (next to the four)
- Another blue flat (10×10), representing
100.
> Wait — there are
five blue flats in total:
> - Four grouped together
> - One separate one
>
> So total:
> $$
> 5 \times 100 = 500
> $$
Wait! Let's double-check the count.
Looking at the image again:
- The
first group: four blue flats arranged in a 2×2 pattern → 4 flats
- Then
one more blue flat to the right → total of
5 blue flats
So yes:
$$
5 \times 100 = 500
$$
---
4. Green Rod (long rectangle)
- This is a
rod made of 10 unit cubes stacked vertically.
- Represents
10.
- Only
one green rod → value =
10
---
5. Yellow Unit Cube (on the far right)
- A single small cube.
- Represents
1.
---
Now, summing all values:
| Component | Value |
|------------------|-------|
| Red cube | 1000 |
| Blue flats | 500 |
| Green rod | 10 |
| Yellow unit | 1 |
|
Total |
1511 |
---
✔ Final Answer:
$$
\boxed{1511}
$$
This is the number represented by the base-10 blocks in the image.
Parent Tip: Review the logic above to help your child master the concept of place value worksheet dienes.
