Real Numbers: Natural Numbers: N= {1,2,3,· · ·} Integers: Z= {0,−1,1
... A term in an expression is separated by addition or subtraction from other terms. E.g. 4x − 3xy + 2z has three terms, they are 4x, −3xy, and 2z. Note that we say the first term is 4x, not 4 and x, and we say that the second term is −3xy, because the sign in front of a term is part of the term. The ...
... A term in an expression is separated by addition or subtraction from other terms. E.g. 4x − 3xy + 2z has three terms, they are 4x, −3xy, and 2z. Note that we say the first term is 4x, not 4 and x, and we say that the second term is −3xy, because the sign in front of a term is part of the term. The ...
Division by zero
In mathematics, division by zero is division where the divisor (denominator) is zero. Such a division can be formally expressed as a/0 where a is the dividend (numerator). In ordinary arithmetic, the expression has no meaning, as there is no number which, multiplied by 0, gives a (assuming a≠0), and so division by zero is undefined. Since any number multiplied by zero is zero, the expression 0/0 also has no defined value and is called an indeterminate form. Historically, one of the earliest recorded references to the mathematical impossibility of assigning a value to a/0 is contained in George Berkeley's criticism of infinitesimal calculus in The Analyst (""ghosts of departed quantities"").There are mathematical structures in which a/0 is defined for some a such as in Riemann spheres and real projective lines; however, such structures cannot satisfy every ordinary rule of arithmetic (the field axioms).In computing, a program error may result from an attempt to divide by zero. Depending on the programming environment and the type of number (e.g. floating point, integer) being divided by zero, it may generate positive or negative infinity by the IEEE 754 floating point standard, generate an exception, generate an error message, cause the program to terminate, or result in a special not-a-number value.