Multiply and divide rational numbers using multiple strategies and representations. a. Model multiplication of rational numbers using number lines, arrays, or area models to show how properties of operations (e.g., the distributive property) lead to rules for signed number multiplication, including (–1) × (–1) = 1. b. Interpret quotients of rational numbers in context and represent division of signed numbers in different forms, such as –p/q = (–p)/q = p/(–q) when the divisor is not zero. c. Use properties of operations to multiply and divide rational numbers flexibly and efficiently. d. Analyze the decimal representation of a quotient resulting from dividing rational numbers to determine whether it terminates or repeats and use this pattern to explain why all rational numbers have decimal forms that either terminate or repeat. e. Model and solve multistep contextual problems involving multiplication and division of rational numbers, using efficient and flexible strategies.
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