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Answer :
Certainly! Let's explore which sets the number 84 belongs to:
1. Natural Numbers: These are the numbers used for counting and normally start from 1 (1, 2, 3, ...). Since 84 is a positive whole number, it is indeed a natural number.
2. Whole Numbers: Whole numbers include all natural numbers and the number 0 (0, 1, 2, 3, ...). Since 84 is a natural number, it is also a whole number.
3. Integers: Integers are all whole numbers and their negatives (-3, -2, -1, 0, 1, 2, 3, ...). Since 84 is a whole number, it is an integer.
4. Rational Numbers: A rational number is any number that can be expressed as the fraction of two integers, where the denominator is not zero. Since 84 can be written as 84/1, it is a rational number.
5. Real Numbers: Real numbers include all the numbers that can be found on the number line, including both rational and irrational numbers. Since 84 is a rational, and therefore a real number, it belongs to this set.
6. Irrational Numbers: These are numbers that cannot be expressed as a simple fraction (like √2 or π). Since 84 can be expressed as a fraction (84/1), it is not an irrational number.
In summary, the number 84 belongs to the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers. It is not an irrational number.
1. Natural Numbers: These are the numbers used for counting and normally start from 1 (1, 2, 3, ...). Since 84 is a positive whole number, it is indeed a natural number.
2. Whole Numbers: Whole numbers include all natural numbers and the number 0 (0, 1, 2, 3, ...). Since 84 is a natural number, it is also a whole number.
3. Integers: Integers are all whole numbers and their negatives (-3, -2, -1, 0, 1, 2, 3, ...). Since 84 is a whole number, it is an integer.
4. Rational Numbers: A rational number is any number that can be expressed as the fraction of two integers, where the denominator is not zero. Since 84 can be written as 84/1, it is a rational number.
5. Real Numbers: Real numbers include all the numbers that can be found on the number line, including both rational and irrational numbers. Since 84 is a rational, and therefore a real number, it belongs to this set.
6. Irrational Numbers: These are numbers that cannot be expressed as a simple fraction (like √2 or π). Since 84 can be expressed as a fraction (84/1), it is not an irrational number.
In summary, the number 84 belongs to the sets of natural numbers, whole numbers, integers, rational numbers, and real numbers. It is not an irrational number.
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