Good afternoon,
I need some help please on the following:
Which of the following is a true statement?
A. -9 is a whole number
B. The square root of 25 is a an irrational number
C. 0 is a natural number
D. 2/3 is a rational number
I believe the correct answer to this is C. Would that be correct?
0 is a whole number. The natural numbers are 1,2,3,...
2/3 is a rational number -- the ratio of two integers
Yes, I'm Ms, Sue. I'm having computer problems and am working on getting my tutor/admin status back.
Good afternoon! Let's go through each statement to determine which one is true.
Statement A: "-9 is a whole number"
To answer this, we need to know the definition of a whole number. A whole number is a non-negative number without any fractional or decimal parts. Since -9 is negative, it is not a whole number. Therefore, statement A is false.
Statement B: "The square root of 25 is an irrational number"
To determine if this statement is true, we need to find the value of the square root of 25. The square root of 25 is 5, which is not an irrational number. In fact, 5 is a rational number because it can be expressed as a fraction (5/1). Therefore, statement B is false.
Statement C: "0 is a natural number"
To determine if this statement is true, we need to know the definition of a natural number. Natural numbers are the numbers we use to count or order things, starting from 1 and going to infinity (1, 2, 3, ...). Since 0 is not included in the set of natural numbers, statement C is false.
Statement D: "2/3 is a rational number"
To answer this, we need to know the definition of a rational number. A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. In this case, 2/3 is a fraction, and both the numerator (2) and denominator (3) are integers. Therefore, statement D is true.
To summarize, the statement that is true is D. "2/3 is a rational number."