Real Numbers Worksheets With Answer Key

1-2 Properties of Real Numbers
Name the sets of numbers to which each number belongs.
2.
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
4. –12
SOLUTION:
The number -12 is a real number. Since -12 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 not part of the set {…0,
1, 2, 3, …} so it is not a whole number and since it is not a whole number it is not a natural number either.
Z, Q, R
Name the property illustrated by each equation.
6.
SOLUTION:
Distributive Property; the Distributive Property states that there is no difference between a term multiplied by each
term in a group and the term multiplied by the group.
8.
SOLUTION:
Distributive Property; the Distributive Property states that there is no difference between a term multiplied by each
term in a group and the term multiplied by the group.
Find the additive inverse and multiplicative inverse for each number.
10.
SOLUTION:
Since
is
.
is  .
Since
, the multiplicative inverse of
12.
SOLUTION:
Since
is
.
Since
, the multiplicative inverse of
is
.
Simplify each expression.
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