QuestionIdentify the rational numbers from this list: A. , B. , C. , D. , E. , F. None.
Studdy Solution
STEP 1
Assumptions1. A rational number is a number that can be expressed as a fraction where and are integers and . . The given list of numbers is , , , , , and "There are no rational numbers in this list."
STEP 2
We will check each number in the list to see if it fits the definition of a rational number.
STEP 3
First, check if is a rational number. Since it can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero, it is a rational number.
STEP 4
Next, check if is a rational number. The square root of2 cannot be expressed as a fraction where the numerator and denominator are integers, so it is not a rational number.
STEP 5
Check if is a rational number. This is a repeating decimal, which can be expressed as a fraction, so it is a rational number.
STEP 6
Next, check if is a rational number. Pi is an irrational number, which means it cannot be expressed as a fraction where the numerator and denominator are integers. So, it is not a rational number.
STEP 7
Finally, check if is a rational number. Since it can be expressed as a fraction where the numerator and denominator are integers and the denominator is not zero, it is a rational number.
STEP 8
The statement "There are no rational numbers in this list." is not a number, so it cannot be classified as a rational or irrational number.
So, the rational numbers in the list are , , and .
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