All Real Numbers
All real numbers is a term that refers to the set of all possible numbers that can be represented on the number line
All real numbers is a term that refers to the set of all possible numbers that can be represented on the number line. Real numbers include rational numbers, which are numbers that can be expressed as fractions, as well as irrational numbers, which cannot be expressed as fractions.
Rational numbers include integers, which are whole numbers and their negative counterparts, as well as fractions, which can be expressed as a ratio of two integers. For example, 5, -2, 1/2, and -3/4 are all rational numbers.
Irrational numbers, on the other hand, cannot be expressed as fractions. They are usually represented as decimal numbers that go on forever without repeating. Examples of irrational numbers include pi (approximately 3.14159…) and the square root of 2 (approximately 1.41421…). These numbers cannot be written as a fraction or a ratio of two integers.
So, when we talk about all real numbers, we are referring to a set that includes both rational and irrational numbers. This set is represented by the symbol ℝ, which stands for the set of all real numbers. Every possible number you can think of, whether it’s a whole number, a fraction, a decimal, or an irrational number, is included in the set of real numbers.
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