Question

WRITE THE DEFINATIONS OF
NATURAL, WHOLE NUMBERS,
INTEZERS?​

Answer 1

Natural numbers ( {\displaystyle \mathbb {N} } \mathbb {N} ): The counting numbers {1, 2, 3, ...} are commonly called natural numbers; however, other definitions include 0, so that the non-negative integers {0, 1, 2, 3, ...} are also called natural numbers. Natural numbers including 0 are also called whole numbers.[1][2]

Integers ( {\displaystyle \mathbb {Z} } \mathbb {Z} ): Positive and negative counting numbers, as well as zero: {..., −3, −2, −1, 0, 1, 2, 3, ...}.

Rational numbers ( {\displaystyle \mathbb {Q} } \mathbb {Q} ): Numbers that can be expressed as a ratio of an integer to a non-zero integer.[3] All integers are rational, but the converse is not true; there are rational numbers that are not integers.

Real numbers ( {\displaystyle \mathbb {R} } \mathbb {R} ): Numbers that can represent a distance along a line. They can be positive, negative, or zero. All rational numbers are real, but the converse is not true.

Irrational numbers ( {\displaystyle \mathbb {I} } \mathbb {I} ): Real numbers that are not rational.

Imaginary numbers: Numbers that equal the product of a real number and the square root of −1. The number 0 is both real and imaginary.

Complex numbers ( {\displaystyle \mathbb {C} } \mathbb {C} ): Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.

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