Question

HELP ME PLEASE AND THANK YOU!!

Answer 1

Rational :

• 0.63
• -15.overline{5}
• -11/4
• 2½

Rational numbers are the one which can be written in the form of p/q wherein q ≠ 0 moreover,the numbers with terminating and repeating decimals are rational as well.

Irrational :

• 0.314587....
• -25.348197...

Irrational numbers are just the opposite of rational numbers i.e. can't be written in the form of p/q wherein q≠0 moreover they don't have terminating or repeating decimals.

Answer 2

Rational numbers:

`0.63, -15.5, -(11)/(4) , 2(1)/(2)`

Irrational numbers:

`0.314587..., -25.348197...`

Explanation:

Rational number: A rational number is a number that can be expressed as a quotient of two integers, where the denominator is not zero.

Irrational number: An irrational number is a number that cannot be expressed as a quotient of two integers.

0.314587... (pi) is irrational because it is a non-terminating, non-repeating decimal.

0.63 is rational because it can be expressed as a quotient of two integers, 63 and 100.

-25.348197...is irrational because it is a non-terminating, non-repeating decimal.

-15.5 is rational because it can be expressed as a quotient of two integers, -155 and 10.

`-(11)/(4)` is rational because it can be expressed as a quotient of two integers, -11 and 4.

`2(1)/(2)` is rational because it can be expressed as a quotient of two integers, 5 and 2.

Conclusion:

Rational numbers:

`0.63, -15.5, -(11)/(4) , 2(1)/(2)`

Irrational numbers:

`0.314587..., -25.348197...`