Answer:
0.5 = Rational number,
√24 = Irrational number,
3.42859873 = Rational number,
0100 = Rational number
Step-by-step explanation:
Rational number is a real number that can be expressed as \(\frac{p}{q}\),
Where, both p and q are integers and q ≠ 0,
Otherwise the number is called irrational number.
(i) Since, 0.5 = 5/10,
Where, both 5 and 10 are integers,
And, q ≠ 0,
So, 0.5 is a rational number.
(ii) Since, √24 = √(6×4) = 2√6
But, √6 is irrational number and 2 is rational number,
We know that the product of irrational number and rational number is also irrational number,
⇒ √24 is an irrational number.
(iii)
\(3.42859873 = \frac{342859873}{100000000}\)
Where, both 342859873 and 100000000 are integers,
And, 100000000 ≠ 0,
So, 3.42859873 is a rational number.
(iv) 100 is an integer,
An integer is always a rational number,
⇒ 100 is a rational number.
