Which of the following is true about −9 ?(1 point)
Responses
It is an integer but not a rational number.
It is an integer but not a whole number.
It is both an integer and a whole number.
It is a whole number but not an integer.
It is both an integer and a whole number.
The correct response is:
It is both an integer and a whole number.
To determine which of the given statements is true about -9, we need to understand the definitions of the terms involved.
1. Integer: An integer is a number that can be written without a fractional or decimal component. It includes both positive and negative whole numbers, as well as zero.
2. Rational number: A rational number is any number that can be expressed as the ratio of two integers, with a non-zero denominator. This includes both integers and fractions.
3. Whole number: A whole number is a positive number that does not have any fractional or decimal parts. It includes zero and positive integers.
Now, let's evaluate the statements based on these definitions:
Statement 1: "It is an integer but not a rational number."
This statement is incorrect because -9 is indeed an integer and can be expressed as the ratio -9/1.
Statement 2: "It is an integer but not a whole number."
This statement is incorrect because -9 is both an integer and a whole number. It is a negative whole number.
Statement 3: "It is both an integer and a whole number."
This statement is correct. -9 is indeed both an integer and a whole number.
Statement 4: "It is a whole number but not an integer."
This statement is incorrect because -9 is an integer and therefore, it is also a whole number.
So, the correct statement is: "It is both an integer and a whole number."