Respuesta :

3.52 is rational number , she was wrong

Answer:

Incorrect

Step-by-step 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 [tex]\frac{p}{q}[/tex] where p and q are integers, [tex]q\neq 0[/tex].

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

[tex]3.52=\frac{352}{100}=\frac{325}{2^2\times 5^2}[/tex]

If the denominator of given number can be written as [tex]2^n\cdot 5^m[/tex]

Then the number is terminating rational number.

Hence, the given number is rational number.

Therefore, Dori is wrong.