Scientific notation is a way of representing numbers, usually very large or very small, in the form
a*10b where 1 ? |a| < 10 is a decimal number and b is an integer (negative or positive).
a is called the mantissa and b is called the exponent.
Z=Integers; Rational numbers={a/b| a,b∈Z, b ≠ 0}.
In set builder notation, "n" typically represents an integer variable. It is often used to define sets of numbers, such as the set of all integers or specific subsets like even or odd integers. For example, the notation {n | n is an integer} describes the set of all integers, where "n" is a placeholder for any integer value.
The two primary methods of writing set notation are roster form and set-builder notation. Roster form lists the elements of a set explicitly, enclosed in curly braces (e.g., A = {1, 2, 3}). Set-builder notation, on the other hand, describes the properties or conditions that define the elements of the set, typically expressed as A = {x | condition}, where "x" represents the elements that satisfy the specified condition.
The set {2, 4, 6, 8, 10} can be expressed in set builder notation as {x ∈ ℕ | x = 2n, n ∈ {1, 2, 3, 4, 5}}, where ℕ represents the set of natural numbers. Alternatively, it can be written as {x ∈ ℕ | x is even and 2 ≤ x ≤ 10}. This notation encapsulates the conditions that define the elements of the set.
Mathematics is a formal science that studies abstract objects such as quantities or shapes which can be applicable to other scientific fields such as physics, chemistry, or economics or studied for its own sake.
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