Question

Dori claims that 3.52 is not a rational number because its not written as a ratio of integers.Is she correct

Answer 1

3.52 is rational number , she was wrong

Answer 2

Incorrect

Explanation:

We are given that a number 3.52

Dori claims that 3.52 is not a rational number because it is not written as a ratio of integers.

We have to find she is correct.

Rational number : It is that number which can be written in the from of
`(p)/(q)` where p and q are integers,
`q\\eq 0`.

When we remove decimal then we write 100 in denominator because two digits after decimal point.

`3.52=(352)/(100)=(325)/(2^2* 5^2)`

If the denominator of given number can be written as
`2^n\cdot 5^m`

Then the number is terminating rational number.

Hence, the given number is rational number.

Therefore, Dori is wrong.