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Chapter 1: Linear Functions, Equations, and Inequalities
1.1:
Real Numbers and the Rectangular Coordinate System
1.
(a) The only natural number is 10.
(b) The whole numbers are 0 and 10.
(c) The integers are
(d) The rational numbers are
.
(e) The irrational numbers are
.
(f) All of the numbers listed are real numbers.
2.
(a) The natural numbers are
.
(b) The whole numbers are
.
(c) The integers are
.
(d) The rational numbers are
.
(e) The only irrational number is
.
(f) All of the numbers listed are real numbers.
3.
(a) There are no natural numbers listed.
(b) There are no whole numbers listed.
(c) The integers are
.
(d) The rational numbers are
.
(e) There are no irrational numbers listed.
(f) All of the numbers listed are real numbers.
4.
(a) The natural numbers are 3, 18, and 56.
(b) The whole numbers are 3, 18, and 56.
(c) The integers are
.
(d) The rational numbers are
.
(e) The only irrational number is
.
(f) All of the numbers listed are real numbers.
5.
The number 4,000,000,000 is a natural number, integer, rational number, and real number.
6.
The number 92,000,000,000 is a natural number, integer, rational number, and real number.
7.
The number
is an integer, rational number, and real number.
8.
The number
is an integer, rational number, and real number.
]
3
]
250
6
π
]
1
49
1
or
]
7
2
,
]
.405,
]
.3
, .1, 3, 18, and 56
]
1
49
1
or
]
7
2
, 3, 18, and 56
]
1
100
1
or
]
10
2
,
]
13
6
,
]
1, 5.23, 9.14
, 3.14, and
22
7
]
1
100
1
or
]
10
2
and
]
1
1
12
]
8,
]
14
7
1
or
]
2
2
,
]
.245, 0,
6
2
1
or 3
2
, 8, and
1
81
1
or 9
2
]
8,
]
14
7
1
or
]
2
2
, 0,
6
2
1
or 3
2
, 8, and
1
81
1
or 9
2
0,
6
2
1
or 3
2
, 8, and
1
81
1
or 9
2
6
2
1
or 3
2
, 8, and
1
81
1
or 9
2
]
1
3
, 2
π
, and
1
17
]
6,
]
12
4
1
or
]
3
2
,
]
5
8
, 0, .31, .3
, and 10
]
6,
]
12
4
1
or
]
3
2
, 0, 10
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View Full Document9.
The number
is a rational number and real number.
10. The number
is a rational number and real number.
11. The number
is a real number.
12. The number
is a real number.
13. Natural numbers would be appropriate because population is only measured in positive whole numbers.
14. Natural numbers would be appropriate because distance on road signs is only given in positive whole numbers.
15. Rational numbers would be appropriate because shoes come in fraction sizes.
16. Rational numbers would be appropriate because gas is paid for in dollars and cents, a decimal part of a dollar.
17. Integers would be appropriate because temperature is given in positive and negative whole numbers.
18. Integers would be appropriate because golf scores are given in positive and negative whole numbers.
19.
20.
21.
22.
23. A rational number can be written as a fraction,
, where
p
and
q
are integers.
An irrational number
cannot be written in this way.
24. She should write
.
Calculators give only approximations of irrational numbers.
25. The point
is in quadrant I.
See Figure 2534.
26. The point
is in quadrant II.
See Figure 2534.
27. The point
is in quadrant III.
See Figure 2534.
28. The point
is in quadrant IV.
See Figure 2534.
29. The point
is located on the
y
axis, therefore is not in a quadrant.
See Figure 2534.
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 Spring '08
 MARKS
 Calculus, Real Numbers, Equations, Inequalities

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