Answer: (6) a (7) b (8) d (9) d
<u>Step-by-step explanation:</u>
a) Natural Numbers: 1, 2, 3, ...
b) Whole Numbers: 0, 1, 2, 3, ... <em>(add zero to the Natural numbers)</em>
c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... <em>(add negatives to the Whole numbers)</em>
d) Rationals: Add terminating and repeating decimals to Integers.
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e) Irrationals: Non-repeating decimals that are non-terminating. <em>This is its own category so cannot be a Rational number or above.</em>
f) Real Numbers: ALL of the above (a - e) are Real numbers.
6) The variable (d) represents the number of dogs. You cannot have a fraction of dog (rational), a negative number of dogs (integer), or zero dogs (whole) so the variable will be a NATURAL number.
7) The variable (b) represents the number of baths. You cannot have a fraction of a bath (rational), a negative number of baths (integer), but you can have zero baths so the variable will be a WHOLE number.
(8) The variable (n) represents the number of nails. You can have a fraction of a nail so the variable will be a RATIONAL number.
(9) The variable (h) represents the number of pounds of hair. You can have a fraction of a pound so the variable will be a RATIONAL number.
