2.3 Problem Solving With Rational Numbers in Fraction Form
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2.3 Problem Solving With Rational Numbers in Fraction Form
20 MHR • Chapter 2 978-007-097344-2. 2.3 Problem Solving With Rational
Numbers in Fraction Form. MathLinks 9, pages 63–71. Key Ideas Review.
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
