REAL NUMBER–all numbers on the numbers line, positives, negatives, zero; these have no imaginary parts. Ex: 9; -9; 287; 0 are all real numbers, or integers.

RATIONAL NUMBERS–an integer or quotient of an integer divided by a nonzero integer. Ex: 81 divided by 9=9 are rational numbers.

IRRATIONAL NUMBERS–numbers that canNOT be expressed as a fraction p/q for any integers p and q (like 3/4 if p=3 and q=4); have decimal expansions that do not end or become periodic. Ex.: 1.606695152415291763… is an irrational number.

e.g 1, 2, 3, -1, -2, -3………………

rational number = you know EXACTLY what the number is. A fraction is also counted as a rational number.

e.g 1/2, 1/1200, 3, -6, -7.5……….

((for example 8.33333333333333333333333*and going* would NOT be a rational number, as you dont know EXACTLY what the number is))

irrational number = a number which you do not know exactly what it is. these include surds

e.g √2 , √5, 0.111111111111111111111111*and going*……

hope you understand 😀

A rational number is one that has a clear end. Like, if you have a fraction of 2/5, the decimal equivalent is .4, which has a clear end.

An irrational number is one that has no end. 3/9 written as a decimal is .33333…, with the 3s continuing on forever, making it an irrational number with no end. Some symbols in math, like pi, represent irrational numbers.