Which of the following is true about
-9? (1 point)
O It is an integer but not a whole number.
• It is both an integer and a
whole number.
It is an integer but not a rational number.
• It is a whole number but not an integer.
• It is both an integer and a whole number.
The correct answer is:
- It is both an integer and a whole number.
To determine which statement is true about the number -9, we need to understand the definitions of the terms in the answer choices:
1. Integer: Integers are the set of positive and negative whole numbers, including zero.
2. Whole number: Whole numbers are the set of positive whole numbers, including zero.
3. Rational number: Rational numbers are numbers that can be expressed as a fraction, where both the numerator and denominator are integers.
Let's evaluate each statement:
Statement 1: "It is an integer but not a whole number."
-9 is a negative number, which makes it an integer. As per the definition, integers include both positive and negative whole numbers, including zero. Therefore, this statement is not true.
Statement 2: "It is both an integer and a whole number."
This statement is true. Since -9 is a negative number, it falls under the category of integers. Additionally, it is also a negative whole number since it is part of the set of whole numbers.
Statement 3: "It is an integer but not a rational number."
Since -9 can be expressed as the fraction -9/1, where both the numerator and the denominator are integers, it is indeed a rational number. Hence, this statement is also not true.
Statement 4: "It is a whole number but not an integer."
Since -9 is a negative number, it is an integer. As per the definition, integers include negative whole numbers, including zero. Therefore, this statement is also not true.
In conclusion, the correct statement is: "It is both an integer and a whole number."