Question

What number groups does 0 fall into?

1) Integers
2) Irrational Numbers
3) Natural Numbers
4) Whole Numbers
5) Real Numbers
6) Rational Numbers

Answer 1

0 falls into several number groups including integers, whole numbers, rational numbers, and real numbers.

Step-by-step explanation:

0 falls into several number groups:

1. Integers: Integers are whole numbers, both positive and negative, including zero. So, 0 is an integer.
2. Whole Numbers: Whole numbers are non-negative integers, including zero. Thus, 0 falls into this category as well.
3. Natural Numbers: Natural numbers are positive integers, excluding zero. Therefore, 0 does not fall into this category.
4. Rational Numbers: Rational numbers can be expressed as a fraction, where the numerator and denominator are both integers. Zero can be written as 0/1, so it can be expressed as a fraction, making it a rational number.
5. Real Numbers: Real numbers include all rational and irrational numbers. Since 0 is a rational number, it is included in this category.
6. Real Numbers: Irrational numbers cannot be written as a fraction and have non-repeating, non-terminating decimal representations. Since 0 can be written as 0/1, it is not considered an irrational number.