Number and Operations - Rational Numbers: Add, Subtract, Multiply, and Divide

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(3)  Number and operations. The student applies mathematical process standards to represent addition, subtraction, multiplication, and division while solving problems and justifying solutions. The student is expected to:

(A)  recognize that dividing by a rational number and multiplying by its reciprocal result in equivalent values;

(B)  determine, with and without computation, whether a quantity is increased or decreased when multiplied by a fraction, including values greater than or less than one;

(C)  represent integer operations with concrete models and connect the actions with the models to standardized algorithms;

(D)  add, subtract, multiply, and divide integers fluently; and

(E)  multiply and divide positive rational numbers fluently.