7.NS.2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. (MP.2, MP.7, MP.8)

Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. (MP.2, MP.7, MP.8)

7.NS.2.aUnderstand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1)=1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing real-world contexts.7.NS.2.bUnderstand that integers can be divided, provided that the divisor is not zero and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then –(p/q)=(–p)/q=p/(–q). Interpret quotients of rational numbers by describing real-world contexts.7.NS.2.cApply properties of operations as strategies to multiply and divide rational numbers.
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