subtractionsəbˈtræk ʃən
subtraction (n)
- plural
- subtractions
English Definitions:
subtraction, minus (noun)
an arithmetic operation in which the difference between two numbers is calculated
"the subtraction of three from four leaves one"; "four minus three equals one"
subtraction, deduction (noun)
the act of subtracting (removing a part from the whole)
"he complained about the subtraction of money from their paychecks"
subtraction (Noun)
(uncountable) The process of subtracting a number from another.
subtraction (Noun)
(countable) A calculation involving subtracting.
subtraction (Noun)
The removal of something.
Subtraction
In arithmetic, subtraction is one of the four basic binary operations; it is the inverse of addition, meaning that if we start with any number and add any number and then subtract the same number we added, we return to the number we started with. Subtraction is denoted by a minus sign in infix notation, in contrast to the use of the plus sign for addition. Since subtraction is not a commutative operator, the two operands are named. The traditional names for the parts of the formula are minuend − subtrahend = difference . Subtraction is used to model four related processes: ⁕From a given collection, take away a given number of objects. For example, 5 apples minus 2 apples leaves 3 apples. ⁕From a given measurement, take away a quantity measured in the same units. If I weigh 200 pounds, and lose 10 pounds, then I weigh 200 − 10 = 190 pounds. ⁕Compare two like quantities to find the difference between them. For example, the difference between $800 and $600 is $800 − $600 = $200. Also known as comparative subtraction. ⁕To find the distance between two locations at a fixed distance from starting point. For example if, on a given highway, you see a mileage marker that says 150 miles and later see a mileage marker that says 160 miles, you have traveled 160 − 150 = 10 miles.
Subtraction
Subtraction (which is signified by the minus sign −) is one of the four arithmetic operation along with addition, multiplication and division. Subtraction is an operation that represents removal of objects from a collection. For example, in the adjacent picture, there are 5 − 2 peaches—meaning 5 peaches with 2 taken away, resulting in a total of 3 peaches. Therefore, the difference of 5 and 2 is 3; that is, 5 − 2 = 3. While primarily associated with natural numbers in arithmetic, subtraction can also represent removing or decreasing physical and abstract quantities using different kinds of objects including negative numbers, fractions, irrational numbers, vectors, decimals, functions, and matrices.In a sense, subtraction is the inverse of addition. That is, c = a − b if and only if c + b = a. In words: the difference of two numbers is the number that gives the first one when added to the second one. Subtraction follows several important patterns. It is anticommutative, meaning that changing the order changes the sign of the answer. It is also not associative, meaning that when one subtracts more than two numbers, the order in which subtraction is performed matters. Because 0 is the additive identity, subtraction of it does not change a number. Subtraction also obeys predictable rules concerning related operations, such as addition and multiplication. All of these rules can be proven, starting with the subtraction of integers and generalizing up through the real numbers and beyond. General binary operations that follow these patterns are studied in abstract algebra.
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"subtraction." Kamus.net. STANDS4 LLC, 2024. Web. 20 Apr. 2024. <https://www.kamus.net/english/subtraction>.
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