2.1 Comparing and Ordering Rational Numbers

Date:
2.1 Comparing and Ordering Rational Numbers
MathLinks 9, pages 46–54
Key Ideas Review
1. a) Circle the rational number(s).
3
-__
2.1
2
__
√2
-55
-21
____
-7
3
__
1
3
π
b) Circle the numbers that are equivalent to 3.
9
-__
(
-15
- ____
3.0
3
3
__
√9
)
Choose from the following rational numbers to complete #2.
3
__
4
5
__
4
-2.1
0
__
3
3
-__
14
-__
1.8
4
5
6
__
4
2. a) Fill in the blanks to identify the rational numbers.
-3
-2
0
-1
1
2
3
b) Circle the opposite numbers.
c) Which rational number lies between 0 and 1?
Check Your Understanding
3. Match each rational number to a point
on the number line.
A
-3
B
-2
C
-1
D
0
E
1
2
3
4. a) Fill in each blank using the correct
rational number from the list.
7
__
8
-2.2
_
11
__
6
-1.1
10
__
8
a) -0.6
3
b) -__
-2
0
-1
1
2
2
3
c) -2__
4
b) Place the opposite of each number on
the number line.
d) 1.9
5. What is the opposite of each rational
number?
_
e) 0.3
f) Explain your thinking.
16
MHR • Chapter 2
978-007-097344-2
3
a) __
2
_
b) -6.8
1
c) -2__
5
Date:
6
9
2
, -1.7, and __
.
6. Compare __, 0.511, -1__
11
3
8
a) Write the fractions in decimal form.
12. Change each fraction to a decimal.
Then, identify a decimal number
between the given numbers.
1 __
,1
a) __
4
8
b) Write the numbers in ascending
2 , -__
4
b) -__
3
5
order.
5
3
12
7. Compare __, 0.7, -__
, -2.1, and -1__
.
5
4
6
13. The table lists the average low
temperature of the coldest month in
eight Canadian cities.
a) Write the fractions in decimal form.
City
b) Write the numbers in descending
order.
8. Express each fraction as an equivalent
fraction.
3
a) -__
4
b) -__
12
c) __
5
d) -__
4
Winnipeg
-23.6
Regina
-22.1
Edmonton
-17.0
Calgary
-15.7
Vancouver
0.1
Victoria
6.5
Whitehorse
-23.2
Yellowknife
-32.2
a) Write the temperatures in
descending order.
6
8
Average Low (°C)
3
9. Write each rational number as an
equivalent fraction.
5
a) ___
-8
-7
b) ___
-9
-1
c) ___
4
-8
d) - ___
( -7 )
b) What is the difference in
temperature between Victoria and
Calgary? Show your work.
10. Circle the greater value in each pair.
3
4 , __
b) -__
5
1
1
c) -1__
, -1__
6
3
3 , -__
7
d) -__
4
8
3
5
3
make each statement true. Show
your thinking.
11. Circle the smaller value in each pair.
2 __
,4
a) __
3 5
3
a) -__
4
5
b) -__
-0.8
11
-__
6
3
5 , -__
11
b) -__
6
5 , -__
7
c) -__
4
with >, <, or = to
14. Fill in each
1
1
, -__
a) __
4
2
5
6
4 , -2__
d) -2 __
5
c) -0.81
4 d) - ____
-__
( -12
5
-5
)
-2.4
2.1 Comparing and Ordering Rational Numbers • MHR 17