Question

Materials base-tembok:

10 ones
10 tens
hundreds
120
A small cube represents 1. Small cubes make a long. The long represents longs make a flat. The flat represents flats make a large cube. The large cube represents 1. Describe a pattern in the shapes of the models. What will be the shape of the model for 10,000?
a. Long
b. Flat
c. Large Cube
d. Cube

Answer 1

The model for 10,000 in the context of base-10 blocks would be a large cube of large cubes, as each next power of ten is represented by an assembly of ten of the prior model.

Step-by-step explanation:

The question is asking to identify a pattern in the geometric progression of models and predict the shape of the model representing the number 10,000. Using base-10 blocks, each small cube represents 1, ten small cubes make a long, ten longs make a flat, and ten flats make a large cube.

To address the shape that would represent 10,000, we observe that:

• 10 ones (small cubes) form a long (101).
• 10 tens (longs) form a flat (102 or 100).
• 10 hundreds (flats) form a large cube (103 or 1,000).

Following this pattern, ten large cubes would form the next power of ten, which would be a hypercube or a four-dimensional cube in theoretical terms, but in the context of this question, the shape model representing 10,000 (104) is a large cube of large cubes.

Therefore, the correct answer is c. Large Cube.