Question

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A Dog grooming service takes care of dogs by giving dogs (d) a bath, (b) (Some dogs don't require a bath) cutting its nails (n)( Assume a nail can only be cut partially and cutting their hair H (Measured as a weight in pounds )
6) Which set of numbers best describes the value of the variable? Choose the most specific value.d(# of dogs)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
7)Which set of numbers best describes the value of the variable? Choose the most specific value.b (number of baths)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
8) Which set of numbers best describes the value of the variable? Choose the most specific value.n (number of nails cut. Assume only part of a nail can be cut)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real
9) Which set of numbers best describes the value of the variable? Choose the most specific value.H. (wight of hair in pounds)
a)natural
b)whole
c)integer
d)rational
e)irrational
f)real

Answer 1

Answer: (6) a (7) b (8) d (9) d

Explanation:

a) Natural Numbers: 1, 2, 3, ...

b) Whole Numbers: 0, 1, 2, 3, ... (add zero to the Natural numbers)

c) Integers: ..., -3, -2, -1, 0, 1, 2, 3, ... (add negatives to the Whole numbers)

d) Rationals: Add terminating and repeating decimals to Integers.

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e) Irrationals: Non-repeating decimals that are non-terminating. This is its own category so cannot be a Rational number or above.

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.