What are all the equivalent representations of 10 x 10 x 10

Answer 1

The expression \(10 \times 10 \times 10\) can be represented in several equivalent forms:

1. Exponential Form: \[ 10^3 \]

2. Multiplication: \[ 10 \times 10 \times 10 \]

3. Expanded Form: \[ 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 + 10 \] (This represents adding \(10\) together \(10\) times, which is an alternative way to express \(10 \times 10\))

4. Geometric Interpretation:

   • The volume of a cube with side length \(10\) units is \(10^3\) cubic units.

5. Numerical Value: \[ 1000 \]

6. Factored Form: \[ (10 \times 10) \times 10 = 100 \times 10 \]

7. Using Associative Property: \[ (10 \times 10 \times 10) = (10 \times 10) \times 10 = 100 \times 10 \]

These are several of the equivalent representations of the expression \(10 \times 10 \times 10\).