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In mathematics, an algebraic expression is an expression built up from constants (usually, rational or algebraic numbers) variables, and the basic algebraic operations: addition (+), subtraction (-), multiplication (×), division (÷), whole number powers, and roots (fractional powers).
A simple fraction (also known as a common fraction or vulgar fraction, where vulgar is Latin for "common") is a rational number written as a / b or , where a and b are both integers. [9] As with other fractions, the denominator (b) cannot be zero. Examples include 1 2 , − 8 5 , −8 5 , and 8 −5 .
Besides showing the square root of 2 in sexagesimal (1 24 51 10), the tablet also gives an example where one side of the square is 30 and the diagonal then is 42 25 35. The sexagesimal digit 30 can also stand for 0 30 = 1 / 2 , in which case 0 42 25 35 is approximately 0.7071065.
The U.S. currently has a graduated income tax system with seven brackets: 10%, 12%, 22%, 24%, 32%, 35% and 37%. The idea of a graduated tax system is to lower the tax incidence of people with a ...
Simplification is the process of replacing a mathematical expression by an equivalent one that is simpler (usually shorter). Examples include: Simplification of algebraic expressions, in computer algebra. Simplification of boolean expressions i.e. logic optimization. Simplification by conjunction elimination in inference in logic yields a ...
Additive inverse. In mathematics, the additive inverse of an element x, denoted -x[1], is the element that when added to x, yields the additive identity, 0 [2]. In the most familiar cases, this is the number 0, but it can also refer to a more generalized zero element. In elementary mathematics, the additive inverse is often referred to as the ...
In calculus, trigonometric substitutions are a technique for evaluating integrals. In this case, an expression involving a radical function is replaced with a trigonometric one. Trigonometric identities may help simplify the answer. [1][2] Like other methods of integration by substitution, when evaluating a definite integral, it may be simpler ...
Algebra. Elementary algebra studies which values solve equations formed using arithmetical operations. Abstract algebra studies algebraic structures, such as the ring of integers given by the set of integers together with operations of addition ( ) and multiplication ( ). Algebra is the branch of mathematics that studies certain abstract ...