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Problem Solving Key Ideas: 1. The addition of rational numbers can be modelled on a . Adding the opposite Improper fractions Multiplication and division Positive fractions Number line 2. Subtraction can be modelled on a number line by . 3. Rational numbers expressed as proper or improper fractions can be added, subtracted, multiplied and divided in the same way as . 4. Rational numbers expressed as mixed numbers can be added, subtracted, multiplied and divided in the same way as . 5. The sign of the product or quotient can be predicted from the sign rules for