Question

which expression can be represented by the model? 0.02 × 0.04, 0.4 × 0.4, 0.04 × 0.04, 0.2 × 0.4

Explanation:

Step1: Analyze the grid model

The grid is a 10x10 square, so it represents 1 whole, divided into 100 equal small squares (each small square = 0.01). The shaded rows: 2 out of 10 rows, so this is $0.2$. The shaded columns: 4 out of 10 columns, so this is $0.4$.

Step2: Match to multiplication expression

The shaded area is the product of the fraction of rows shaded and columns shaded.
Expression: $0.2 \times 0.4$

Step3: Verify other options

• $0.02 \times 0.04$: Would represent 2/100 rows and 4/100 columns, too small.
• $0.4 \times 0.4$: Would be 4 shaded rows, not 2.
• $0.04 \times 0.04$: Would be 4/100 rows and columns, too small.

Answer:

$0.2 \times 0.4$