Describe all the sets and subsets the number −25 belongs to
A Rational Numbers, Integers, Whole Numbers, Natural Numbers
B Rational Numbers
C Rational Numbers, Integers, Whole Numbers
D Rational Numbers, Integers
The number -25 belongs to the following sets and subsets:
A) Rational Numbers, Integers, Whole Numbers, Natural Numbers
B) Rational Numbers
C) Rational Numbers, Integers, Whole Numbers
D) Rational Numbers, Integers
To determine which sets and subsets the number -25 belongs to, let's go through each option:
A) Rational Numbers, Integers, Whole Numbers, Natural Numbers:
- Rational Numbers: Yes, -25 is a rational number because it can be expressed as -25/1.
- Integers: Yes, -25 is an integer as it is a whole number without a fractional or decimal part.
- Whole Numbers: Yes, -25 is a whole number as it is an integer less than zero.
- Natural Numbers: No, -25 is not a natural number because natural numbers are positive integers, and -25 is negative.
B) Rational Numbers: Yes, -25 is a rational number as mentioned previously.
C) Rational Numbers, Integers, Whole Numbers:
- Rational Numbers: Yes, -25 is a rational number.
- Integers: Yes, -25 is an integer.
- Whole Numbers: Yes, -25 is a whole number.
D) Rational Numbers, Integers:
- Rational Numbers: Yes, -25 is a rational number.
- Integers: Yes, -25 is an integer.
Based on the analysis, the answer is option C: (-25) belongs to the sets and subsets Rational Numbers, Integers, and Whole Numbers.