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

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 $\frac{p}{q}$ where p and q are integers, $q\neq 0$.

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

$3.52=\frac{352}{100}=\frac{325}{2^2\times 5^2}$

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.