The natural (or counting) numbers are {1,2,3,4,5,...}.etc. There are infinitely many natural numbers. WE CAN COUNT FOREVER!! DOES NOT INCLUDE ZERO !!!!! The whole numbers are the natural numbers together with 0. {0,1,2,3,4,5,...}. THEY DO NOT INCLUDE NEGATIVE NUMBERS !!!! The integers are the set of real numbers consisting of the natural numbers {1,2,3,4,5,...}., their additive inverses {-1,-2,-3,-4,-5,...}. and zero {0}. {-1,-2,-3,-4,-5, 0,1,2,3,4,5,...}.. THEY DO NOT INCLUDE DECIAMLS!!! INTEGER 7.0 7.0=7 >>>>>> THE ZERO HAS NO VALUE NOT AN INTEGER 7.1 >>>>>> INCLUDES .1 TENTH The rational numbers are those numbers which can be expressed as a ratio between two integers. For example, the fractions 1/3 and −1111/8 are both rational numbers. All the integers are included in the rational numbers, Think of the number line {-1,-2,-3,-4,-5, 0,1,2,3,4,5,...} Positive and negative Decimals and fractions that are reduced/simplified! 3 Count 0-1,000,000,000,000 Positive ONLY Count 1-1,000,000,000,000 Positive ONLY 4 5 Rational numbers 1 2 -207.75 -5 4 2 5 0 1 Naturals 1,2,3,4,5 − 19 Wholes 4 2 -19 0 Integers -2.65 − 5 8 2 8 2 2 3