## Notation of a integer

Division is often shown in algebra and science by placing the *dividend* over the *divisor* with a horizontal line, also called a vinculum or fraction bar, between them. For example, *a* divided by *b* is written^{[1]}

- $ \frac ab $

This can be read out loud as "a divided by b", "a by b" or "a over b". A way to express division all on one line is to write the *dividend* (or numerator), then a slash, then the *divisor* (or denominator), like this:

- $ a/b\, $

This is the usual way to specify division in most computer programming languages since it can easily be typed as a simple sequence of ASCII characters. A typographical variation halfway between these two forms uses a solidus (fraction slash) but elevates the dividend, and lowers the divisor:

- ⅞

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Any of these forms can be used to display a fraction. A fraction is a division expression where both dividend and divisor are **integers** (although typically called the *numerator* and *denominator*), and there is no implication that the division must be evaluated further. A second way to show division is to use the obelus (or division sign), common in arithmetic, in this manner:

- $ a \div b $

This form is infrequent except in elementary arithmetic. ISO 80000-2-9.6 states it should not be used. The obelus is also used alone to represent the division operation itself, as for instance as a label on a key of a calculator.

In some non-English-speaking cultures, "a divided by b" is written *a* : *b*. This notation was introduced in 1631 by William Oughtred in his *Clavis Mathematicae* and later popularized by Gottfried Wilhelm Leibniz.^{[2]} However, in English usage the colon is restricted to expressing the related concept of ratios (then "a is to b").

In elementary mathematics the notation $ b)~a $ or $ b \overline{)a} $ is used to denote *a* divided by *b, *especially when discussing long division. This notation was first introduced by Michael Stifel in *Arithmetica integra*, published in 1544.^{[2]}^{[3]}

## Positive and negative

North Carolina was 34 degrees below zero. This number can be written as -34°F. Numbers that are less than zero are negative numbers. They are written with a negative sign in front of them. On a number line, negative numbers are to the left of zero and positive numbers are to the right of zero.Integers are the set of positive whole numbers (1, 2, 3, . . .), their opposites, and zero.**Opposites**are numbers that are the same distance from zero in opposite directions on a number line. For example the numbers 2 and −2 are opposites. The numbers −8 and 8 are also opposites.What is the opposite of each number below?Locating Integers on a Number Line.Since the number is four places to the left of zero, the number is -4 When determining what number is shown on a number line, remember that negative integers are to the left of zero and positive integers are to the right of zero.

## Absolute value

The absolute value of a number is its distance from zero on a number line. You write the “absolute value of −6” as |-6|
Notice that opposite numbers have the same absolute value. Since absolute value represents distance, the absolute value of a number is always positive: -|*n*| means the opposite of the absolute value of n.

## Examples

- -|2|= -2
- -|65|= -65

## references

- ↑ [[1]] Division is also used in science
- ↑
^{2.0}^{2.1}Earliest Uses of Symbols of Operation, Jeff MIller - ↑ These are the famous people that are good in math

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