Question

the number represented by the model is different depending on which block represents 1. based on which block represents 1, what number does the model represent? enter the answers in the boxes. smallest block represents 1: largest block represents 1:

Explanation:

Step1: Identify block values (smallest=1)

Smallest cube = 1, long block = 10, large flat = 100, big cube = 1000

Step2: Count blocks (smallest=1)

2 big cubes: $2 \times 1000 = 2000$; 3 long blocks: $3 \times 10 = 30$; 3 small cubes: $3 \times 1 = 3$

Step3: Sum (smallest=1)

$2000 + 30 + 3 = 2033$

Step4: Identify block values (largest=1)

Big cube = 1, large flat = $\frac{1}{10}$, long block = $\frac{1}{100}$, small cube = $\frac{1}{1000}$

Step5: Count blocks (largest=1)

2 big cubes: $2 \times 1 = 2$; 3 long blocks: $3 \times \frac{1}{100} = 0.03$; 3 small cubes: $3 \times \frac{1}{1000} = 0.003$

Step6: Sum (largest=1)

$2 + 0.03 + 0.003 = 2.033$

Answer:

Smallest block represents 1: $2033$
Largest block represents 1: $2.033$