Question

1. shade each model to show 0.30 and 0.3. what do you notice?

Explanation:

Step1: Analyze the first grid

The first grid has $10 \times 10 = 100$ total small squares. To represent 0.30, we calculate the number of squares to shade: $0.30 \times 100 = 30$ squares.

Step2: Analyze the second grid

The second grid has 10 equal vertical sections. To represent 0.3, we calculate the number of sections to shade: $0.3 \times 10 = 3$ sections.

Step3: Compare the shaded areas

The fraction of the first grid shaded is $\frac{30}{100} = 0.30$, and the fraction of the second grid shaded is $\frac{3}{10} = 0.3$. Simplifying $\frac{30}{100}$ gives $\frac{3}{10}$, so the shaded areas represent the same value.

Answer:

For the 100-square grid, shade 30 small squares to show 0.30. For the 10-section grid, shade 3 vertical sections to show 0.3. Notice that 0.30 and 0.3 are equivalent values (they represent the same portion of the whole grid).