Question

Is each number rational or irrational?

Answer 1

$\large{ \underline{ \text{ᴀnswer}}}$

0.5 is a rational number.

~~~ Since, 0.5 = 5/10,

Where, both 5 and 10 are integers,

And, q ≠ 0,

So, 0.5 is a rational number.

√24 is a irrational number.

~~~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.

3.42859873 is a rational number.

~~~ We can express it as p/q

$\frac{342859873}{10000000}$

Where, both 342859873 and 100000000 are integers,

And, 100000000 ≠ 0,

So, 3.42859873 is a rational number.

$\bold{ \frac{0}{100} } \: \sf{ is \: a \: rational \: number}$

~~~Here, both 0 and 100 is integral. so this is a rational number.

ʜᴏᴘᴇ ᴛʜɪs ʜᴇʟᴘs!!!!