Only a set can have subsets, a number such as -2.38 cannot have subsets.
Rational numbers, whole numbers, negative numbers, even numbers, integers
The rational numbers are a subset of the real numbers. You might recall that rational numbers are those that can be expressed as the ratio of two whole numbers (no matter how large they are). Irrational numbers, like pi, cannot. But both sets (the rational and irrational numbers) are subsets of the real numbers. In fact, when we look at all the numbers, we are looking at the complex number system. We break that down into the real and the imaginary numbers. And the real numbers have the rational and irrational numbers as subsets. It's just that simple.
The number 1.68 belongs to the subsets of real numbers known as rational numbers and decimal numbers. As a rational number, 1.68 can be expressed as the ratio of two integers (84/50). It is also a decimal number, specifically a terminating decimal, where the digits after the decimal point eventually end.
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. A rational number can be.
The two main DISJOINT subsets of the Real numbers are the rational numbers and the irrational numbers.
Both are subsets of the real numbers.
Rational Numbers and Irrational Numbers
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Rational numbers.
rational numbers and irrational numbers
Only a set can have subsets, a number such as -2.38 cannot have subsets.
The set of real numbers is infinitely large, therefore it has an infinite amount of subsets. For example, {1}, {.2, 4, 800}, and {-32323, 3.14159, 32/3, 6,000,000} are all subsets of the real numbers. There are a few, important, and well studied namedsubsets of the real numbers. These include, but aren't limited to, the set of all prime numbers, square numbers, positive numbers, negative numbers, natural numbers, even numbers, odd numbers, integers, rational numbers, and irrational numbers. For more information on these, and other, specific subsets of the real numbers, follow the link below.
Are disjoint and complementary subsets of the set of real numbers.
Both rational numbers and integers are subsets of the set of real numbers.
No, but the majority of real numbers are irrational. The set of real numbers is made up from the disjoint subsets of rational numbers and irrational numbers.
Integers, Rational numbers, Real numbers and Complex numbers.