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Name the two subset(s) of real numbers to which the number -10 belongs

User DrDamnit
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2 Answers

5 votes

Sure, let's take the number -10 and find out which subsets of real numbers it belongs to.

A real number can belong to one or more subsets like the set of integers, set of rational numbers, set of irrational numbers, set of positive numbers, set of negative numbers, etc.

First, let's determine if -10 belongs to the set of integers. An integer is a whole number—a number without a fractional or decimal component—including zero and negative counterparts of positive whole numbers. The number -10 is a whole number with no fractional part, so -10 is indeed an integer.

Next, let's consider whether -10 belongs to the set of negative numbers. A negative number is any real number that is less than zero. Since -10 is less than 0, -10 belongs to the set of negative numbers.

Therefore, the number -10 belongs to two subsets of real numbers: the set of integers and the set of negative numbers.

User Derrick Miller
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6 votes

Answer:

The positive and negative whole numbers are the Integers. Note that Natural numbers are a proper subset of the Integers which, in turn, is a proper subset of the Rationals. 45,368 is Natural, Whole, Integer, AND Rational.

Explanation:

User Senschen
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