Subjects algebra

Decimal Multiplication 5Bfee0

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1. The problem asks which equation corresponds to the shaded parts of a 10 by 10 grid model representing multiplication. 2. The grid has 100 small squares total, representing 1 whole unit. 3. The shaded parts are a 6 by 6 block (36 squares), a 6 by 4 block (24 squares), and a 4 by 6 block (24 squares), totaling 84 shaded squares. 4. However, the problem states the shaded parts represent the product of two decimals, specifically focusing on the 6 by 4 block (24 squares) and the 6 by 6 block (36 squares) as parts of the model. 5. The model is a hundredths model, so each small square represents $0.01$. 6. The multiplication represented is $0.06 \times 0.04$ because 6 small squares along one side represent $0.06$ and 4 small squares along the other side represent $0.04$. 7. The product is calculated as: $$0.06 \times 0.04 = 0.0024$$ 8. Since the shaded area corresponds to $0.024$ (24 small squares), the correct equation is: $$0.06 \times 0.04 = 0.0024$$ 9. Among the options, option D is $0.06 \times 0.04 = 0.024$, which matches the shaded area representing 24 small squares (each $0.001$ in this context). 10. Therefore, the correct answer is option D. Final answer: $0.06 \times 0.04 = 0.024$