- or or
where each of the three expressions means "6 divided by 3", with 2 as the answer. The first number is the dividend (6), and the second number is the divisor (3). The result (or answer) is the quotient, where any left-over amount as whole numbers is called the "remainder". For example, 14/4 gives quotient 3 with remainder 2, all expressed as the number 3, or as 2⁄43 or 3.5). 1⁄2
With multiplication[change | change source]
If c times b equals a, written as:
where b is not zero, then a divided by b equals c, written as:
In the above expression, a is called the dividend, b the divisor and c the quotient.
Division by zero, as in
is not defined.
Notation[change | change source]
Division is most often shown by placing the dividend over the divisor with a horizontal line, also called a vinculum, between them. For example, a divided by b is written as
This can be read as "a divided by b", or "a over b". A way to express division all on one line is to write the dividend, then a slash, then the divisor, like this:
This is the usual way to specify division in most computer programming languages, since it can easily be typed as a simple sequence of characters.
A typographical variation which is halfway between these two forms uses a slash, but elevates the dividend and lowers the divisor:
- a⁄b .
Any of these forms can be used to display a fraction. A fraction is a division expression where both dividend and divisor are integers (in which case, the two numbers are typically referred to as numerator and denominator). A fraction is an accepted way of writing numbers. It is not always expected that the result of the division is written in decimals.
A less common way to show division is to use the obelus (or division sign) in this manner:
But in elementary arithmetic this form is used rather often. The obelus is also used alone to represent the division operation itself, as in the case of a label on a key of a calculator.
In some non-English-speaking cultures, "a divided by b" is written as a : b. However, in English-speaking countries the colon is restricted to expressing the related concept of ratios (where a:b reads "a is to b").
Related pages[change | change source]
- Divisor, another meaning as a number which evenly divides an amount
- Division by two
- Long division
- Modular arithmetic
References[change | change source]
- "Compendium of Mathematical Symbols". Math Vault. 2020-03-01. Retrieved 2020-08-26.
- "Division". www.mathsisfun.com. Retrieved 2020-08-26.
- Weisstein, Eric W. "Division". mathworld.wolfram.com. Retrieved 2020-08-26.