Answer :
Sure, let's go through each of the sets of numbers to see where the number -66 belongs:
1. Integer:
- An integer is any whole number, whether positive, negative, or zero.
- Since -66 is a whole number and not a fraction or decimal, it is an integer.
- Answer: Yes, -66 is an integer.
2. Irrational Number:
- An irrational number cannot be expressed as a simple fraction (ratio of two integers). It includes numbers such as √2, π, and e.
- Since -66 can be expressed as the ratio of two integers (-66/1), it is not irrational.
- Answer: No, -66 is not an irrational number.
3. Natural Number:
- Natural numbers are positive integers starting from 1, 2, 3, and so on.
- Since -66 is negative, it does not belong to the set of natural numbers.
- Answer: No, -66 is not a natural number.
4. Rational Number:
- A rational number can be expressed as a ratio of two integers, where the denominator is not zero.
- Since -66 can be written as -66/1, it is a rational number.
- Answer: Yes, -66 is a rational number.
5. Whole Number:
- Whole numbers are non-negative integers starting from 0, 1, 2, 3, and so on.
- Since -66 is negative, it does not belong to the set of whole numbers.
- Answer: No, -66 is not a whole number.
6. Real Number:
- Real numbers include all rational and irrational numbers, which can be positive, negative, or zero.
- Since -66 is a rational number, it is also a real number.
- Answer: Yes, -66 is a real number.
To summarize, -66 belongs to the following sets of numbers:
- Integer
- Rational number
- Real number
It does not belong to the sets of natural numbers, whole numbers, or irrational numbers.
1. Integer:
- An integer is any whole number, whether positive, negative, or zero.
- Since -66 is a whole number and not a fraction or decimal, it is an integer.
- Answer: Yes, -66 is an integer.
2. Irrational Number:
- An irrational number cannot be expressed as a simple fraction (ratio of two integers). It includes numbers such as √2, π, and e.
- Since -66 can be expressed as the ratio of two integers (-66/1), it is not irrational.
- Answer: No, -66 is not an irrational number.
3. Natural Number:
- Natural numbers are positive integers starting from 1, 2, 3, and so on.
- Since -66 is negative, it does not belong to the set of natural numbers.
- Answer: No, -66 is not a natural number.
4. Rational Number:
- A rational number can be expressed as a ratio of two integers, where the denominator is not zero.
- Since -66 can be written as -66/1, it is a rational number.
- Answer: Yes, -66 is a rational number.
5. Whole Number:
- Whole numbers are non-negative integers starting from 0, 1, 2, 3, and so on.
- Since -66 is negative, it does not belong to the set of whole numbers.
- Answer: No, -66 is not a whole number.
6. Real Number:
- Real numbers include all rational and irrational numbers, which can be positive, negative, or zero.
- Since -66 is a rational number, it is also a real number.
- Answer: Yes, -66 is a real number.
To summarize, -66 belongs to the following sets of numbers:
- Integer
- Rational number
- Real number
It does not belong to the sets of natural numbers, whole numbers, or irrational numbers.
