are the rational numbers a subset of all real numbers? are the rational numbers a subset of the irrational numbers? explain

the rationals numbers are all those numbers that you can write as p/q with q different of 0, and the irrationals numbers are those that you cannot write as a fraction

so as you can see those are two completely different types of number, to be a subset every rational number must be in the irrationals , and by the definition we know it can't happen

fichoh fichoh · Answer 2 · 2021-08-18T12:37:25+02:00

Rational numbers are a subset of all real numbers while rational numbers are not a subset of irrational numbers.

Real numbers encompasses all rational and irrational numbers, integers, whole numbers and natural numbers with the exclusion of complex numbers usually written in the form 8+i, √-1.

Hence, real numbers include numbers such as 1/4, 0.444, 0, 1, - 4, √6 and so on.

Hence, rational numbers are a subset (a part) of all real numbers .

Rational numbers are not a subset of irrational numbers as they are complement (a rational number cannot be irrational and vice versa) of one another.

• Rational numbers are numbers which can be expressed in the form a/b where b ≠ 0. While ;

• Irrational numbers are numbers which o cannot be expressed in the format a/b. Irrational numbers include √6, 0.13412... e.t.c

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