Since
, the additive inverse of
is
.
1-2 Properties of Real Numbers
is
Since
, the multiplicative inverse of
.
Simplify each expression.
14.
SOLUTION:
16.
SOLUTION:
Name the sets of numbers to which each number belongs.
18.
SOLUTION:
The number
is a real number. Since
can be expressed as a ratio where a and b are integers and b is not 0
it is also a rational number. It is not a part of the set {…-2, -1, 0, 1, 2, …} so it is not an integer. Since it is not a part
of the set {…0, 1, 2, 3, …} it is not a whole number or a natural number.
Q, R
20.
SOLUTION:
Since
= 5, this is a real number.
Since 5 can be expressed as a ratio
where a and b are integers and b is not
0 it is also a rational number. It is part of the set {…-2, -1, 0, 1, 2, …} so it is an integer. It is part of the set {…0, 1,
2, 3, …} so it is a whole number and since it is not 0 it is also a natural number.
N, W, Z, Q, R
22.
SOLUTION:
The number
= 3 and is a real number. Since 3 can be expressed as a ratio
where a and b are integers and b is
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not 0 it is also a rational number. It is part of the set {…-2, -1, 0, 1, 2, …} so it is an integer. It is part of the set {…0,
1, 2, 3, …} so it is a whole number and since it is not 0 it is also a natural number.
N, W, Z, Q, R