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The set of counting numbers the opposites of the counting numbers and zero describes the set of?
The set of integers I. I = {..., -3, -2, -1, 0, 1, 2, 3, ...}
What are the integers?
An integer is a member of the set of positive whole numbers {1, 2, 3, . . . }, negative whole numbers {-1, -2, -3, . . . }, and zero {0}.
What sets are closed under division?
For example:* The set of real numbers, excluding zero * The set of rational numbers, excluding zero * The set of complex numbers, excluding zero You can also come up with other sets, for example: * The set {1} * The set of all powers of 2, with an integer exponent, so {... 1/8, 1/4, 1/2, 1, 2, 4, 8, 16, ...}
WHAT SET OF NUMBERS IS MOST REASONABLE TO DESCRIBE A PERSONS HAT SIZE?
First think about how they label hat sizes. Example sizes can be 10, 10 1/4, 10 1/2, 11, etc. What set of numbers do these fall in? HInt: it's one of these: Natural Numbers: 1, 2, 3, 4, ... Whole numbers: 0, 1, 2, 3, 4, ... Integers: ..., -2, -1, 0, 1, 2, 3, ... Rational: Any number that can be written as a fraction
What set does 0 belong to?
The mathematically correct answer is: any set that contains it. For example, it belongs to the set of all numbers between -3 and +2, the set {0, -3, 8/13, sqrt(97), pi}, the set {0}, the set of the roots of x3 - x2 + x = 0, the set of all integers, the set of all rational numbers, the set of all real numbers, the set of all complex numbers.
