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Date: 2.3 Problem Solving With Rational Numbers in Fraction Form MathLinks 9, pages 63–71 Key Ideas Review Select words from column B to complete the statements in column A. A B 1. The addition of rational numbers can be modelled on a . a) adding the opposite b) improper fractions 2. Subtraction can be modelled on a number line by c) multiplication and division . 3. Rational numbers expressed as mixed numbers can be added, subtracted, multiplied, and divided by first writing them as d) positive fractions e) number line . 4. Rational numbers expressed as proper or improper fractions 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 . Check Your Understanding 6. Estimate and calculate. Show your work. 3 + -__ 7 a) -__ ( 10 10 3 1 c) 3__ + -1__ 4 2 ( 20 ) ) MHR • Chapter 2 7. Estimate and calculate. Show your work. 5 1 b) __ + __ 3 6 5 1 d) 3__ - -4__ 4 12 ( ) 978-007-097344-2 a) ( -__35 ) × __23 b) c) 5 ( -__67 ) ( -__ 12 ) 1 5 × 2__ d) -__ 4 ( -__49 ) × ( -__38 ) 6 Date: 8. Estimate and calculate. Show your work. 2 4 8 2 1 ÷ -1__ c) -3__ 3 ( 3 8 1 b) 1__ ÷ -1__ 3 7 ÷ -__ a) -__ 6 ) ( ) 3 1 d) __ ÷ __ 4 3 9. Luc has 1 h of homework to do. He has assignments to complete for social studies and math, and a science test 2 of to begin studying for. He spends __ 5 the time completing the social studies 1 of the time on assignment, and __ 3 math. How much time does Luc have left to study for the science test? Show two ways of answering this question. 10. Alyssa purchased 120 shares of 1 dollars per ElecTeck stock for 1__ 4 share. She also purchased 200 shares 4 of a dollar per of Apexal stock for __ 5 share. After six months, the value 1 and of ElecTeck stock went up by 1__ 2 1 __ Apexal lost 4 of its value. What was the total value of Alyssa’s stock after six months? 11. A pine tree growing on shallow soil has roots extend one-eleventh of its height below the surface. The roots extend 0.87 m deep. How high is the tree, to the nearest tenth? Draw a diagram to represent the situation. Justify your answer. 2.3 Problem Solving With Rational Numbers in Fraction Form • MHR 21