# 1 3 real numbers and the number line answer key

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## Number Systems: Naturals, Integers, Rationals, Irrationals, Reals, and Beyond

Rational Numbers on a Number Line - Part 2

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Every point of a number line is assumed to correspond to a real number , and every real number to a point. The integers are often shown as specially-marked points evenly spaced on the line. It is often used as an aid in teaching simple addition and subtraction , especially involving negative numbers. In advanced mathematics, the expressions real number line , or real line are typically used to indicate the above-mentioned concept that every point on a straight line corresponds to a single real number, and vice versa. A number line is usually represented as being horizontal , but in a Cartesian coordinate plane the vertical axis y-axis is also a number line. Another convention uses only one arrowhead which indicates the direction in which numbers grow. If a particular number is farther to the right on the number line than is another number, then the first number is greater than the second equivalently, the second is less than the first.

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The natural or counting numbers are 1 , 2 , 3 , 4 , 5 , etc. There are infinitely many natural numbers. The whole numbers are the natural numbers together with 0. This is not true for subtraction and division, though. The integers are the set of real numbers consisting of the natural numbers, their additive inverses and zero. The set of integers is sometimes written J or Z for short.

## Worksheet on Representation of Rational Numbers on the Number Line

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1-3 Real Numbers and the Number Line

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Real Numbers and the Number Line I Can: classify, graph, and Focus Question Answer• What is the difference between finding the.
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