Download 2.3 Problem Solving With Rational Numbers in Fraction Form

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
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