The number of people in a math class that play the ukulele.
This number is best considered as a
?
natural number
whole number
integer
rational number
irrational number
real number
.
The hypotenuse’s length in a given right triangle.
This number is best considered as a
?
natural number
whole number
integer
rational number
irrational number
real number
.
The proportion of people in a math class that have a cat.
This number is best considered as a
?
natural number
whole number
integer
rational number
irrational number
real number
.
The number of people in the room with you who have the same birthday as you.
This number is best considered as a
?
natural number
whole number
integer
rational number
irrational number
real number
.
The total revenue (in dollars) generated for ticket sales at a Timbers soccer game.
This number is best considered as a
?
natural number
whole number
integer
rational number
irrational number
real number
.
Solution
The number of people who play the ukulele could be so the whole numbers are the appropriate set.
A hypotenuse’s length could be (which is irrational), or any other positive number. So the real numbers are the appropriate set.
This proportion will be a ratio of integers, as both the total number of people in the class and the number of people who have a cat are integers. So the rational numbers are the appropriate set.
We know that the number of people must be a counting number, and since
you
are in the room with yourself, there is at least one person in that room with your birthday. So the natural numbers are the appropriate set.
The total revenue will be some number of dollars and cents, such as which is a terminating decimal and thus a rational number. So the rational numbers are the appropriate set.