Answer:
Integer: -2 and 150
Rational number: [tex]-\frac{1}{2}[/tex] and [tex]6.\bar6[/tex]
Irrational number: [tex]-\sqrt{3}[/tex]
Step-by-step explanation:
Consider the provided numbers.
Integers: Integers are the set of whole number and the negatives of the natural numbers, i.e, … ,-2, -1, 0, 1, 2, …
Rational number: A number
is said to be rational, if it is in the form
of p/q. Where p and q are integer and
denominator is not equal to 0. The decimal expansion of rational numbers may terminate or become periodic.
Irrational
number: A
number is irrational if it cannot
be
expressed by dividing two
integers. The decimal expansion of
Irrational numbers are neither terminate nor
periodic.
Now consider the number.
[tex]-\frac{1}{2}[/tex] is a rational number because it is in the form of p/q.
[tex]6.\bar6[/tex] is a rational number because the decimal expansion is periodic.
-2 is an integer.
[tex]-\sqrt{3}[/tex] is an irrational number as the decimal expansion is neither terminating nor repeating.
150 is an integer.
