Place points at all integers that satisfy \(-3 \le x, =) in place of the □.įor the following 5 problems, what numbers can replace m so that the following statements are true? 0 is a whole number but not a natural number because it does not have a positive or negative value. (Some definitions of the natural numbers exclude zero. If you subtract a number, for example the number (5), from itself, you get something new, something that is not a natural number at all. The natural numbers are all whole numbers, excepting 0. Draw a number line that extends from -5 to 5 and place points at all negative even integers and all positive odd integers.ĭraw a number line that extends from -5 to 5. The non-negative whole numbers are referred to as natural numbers (i.e., 0, 1, 2, 3.), while the positive and negative whole numbers (together with zero) are referred to as integers. Is the number 0 a positive number, a negative number, neither, or both? AnswerĪn integer is an even integer if it is evenly divisible by 2. Hence, if you see a negative number, whether that negative number is a whole number or not, it is not a natural number for sure. Or from 0 upwards in some fields of mathematics: 0, 1, 2, 3 and so on. Some numbers may belong to more than one collection. The whole numbers from 1 upwards: 1, 2, 3, and so on. An approximation for \(\pi\) is 3.14.įor the following 8problems, next to each real number, note all collections to which it belongs by writing \(N\) for natural number, \(W\) for whole number, or \(Z\) for integer. The sign before the number indicates its direction to the right or left of 0. An example of these numbers is the number \(\pi\), whose decimal representation does not terminate nor contain a repeating block of digits. On the number line there are positive numbers, negative numbers and 0. ![]() We will not examine these other types of numbers in this text. ![]() Notice that there are still a great many points on the number line that have not yet been assigned a type of number. Notice that every integer is a rational number. Natural numbers, also referred to as counting numbers, are the numbers 1, 2, 3, 4, 5, up through infinity.
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