What Is a Rational Number? - mrscote

14. On one day in January, the temperature
changed by 15.4°C in 5.5 h.
What was the mean change in temperature
per hour?
15. A person has 54 shares in WestJet Airlines.
On February 6, 2008, these shares lost
$17.28 in value.
What was the change in value of 1 share?
How do you know?
16. Suppose each rational number below was
2
divided by . Predict which quotients
3
1
would be less than . Explain the strategy
2
you used to predict.
2
1
a) b)
3
3
5
c) d)
6
4
17. Determine the missing number in each
division statement.
a) 1.25 3.6
7
b)
8
c) (0.5875) 0.25
68
4
d)
15
5
a 3 4 b 1
18. Replace each with a rational number to
make each equation true. Explain the
strategy you used.
a) (–0.3) 0.78
b) 0.8 5.52
c) (1.26) 0.2
d) (1.1) 3.26
Take It Further
19. Alex and Ellice run in opposite directions
from school to their homes.
Ellice runs 1.3 km to her home in 7.8 min.
Alex runs 630 m to his home in 4.2 min.
a) Write division statements using
positive and negative rational numbers
to represent each student’s average speed
in metres per minute.
What do the positive and negative
numbers represent?
b) Who runs at the greater average speed?
20. Write 6 division statements that have a
3 1
quotient between and .
4 4
21. Which expression below has the greatest
value? How can you find out without
calculating every answer?
1
1
a) a 2 b) a 2 2 3 b
2 3 b
c) a 1 a 2 d) a 1 a 2 2 b 3 b
2 b 3 b
Reflect
How is dividing rational numbers similar to multiplying them?
Include examples of fractions and decimals in your explanation.
136 UNIT 3: Rational Numbers