A list of 5 numbers is shown below.
0, 3, 7, -6, -12.3
Which set contains all the numbers in the list?
A integers
B whole numbers
C natural numbers
D rational number
Integers are defined as all whole numbers, positive and negative, including 0. Since in the list there is a number that is not whole, A is not the correct answer choice.
Whole numbers are all positive numbers (including 0) without decimals or fractions. Since the list has a number that is not a whole number, along with two that are negative, B is also not correct.
Natural numbers are all positive numbers (excluding 0) without decimals or fractions. Since there is a 0 in the list, C is not correct.
Rational numbers are all numbers that can be simplified into a ratio with 2 integers (i.e. π and e are not rational). Since every number on the list can be put into this category, answer choice D is correct.
