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There are many possible operations. The basic ones are addition, subtraction, multiplication and division. To that you can add reciprocals, exponentiation, logarithms, trigonometric, hyperbolic.

In fact, you can define your own operations. For example a ~ b = 3a - 2b2 is an operation.

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Q: What are the operations of real numbers?
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What are the rules governing operations of real numbers?

There are different rules for different operations.


What are rules governing operations of real numbers?

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What is complex math?

Complex math covers how to do operations on complex numbers. Complex numbers include real numbers, imaginary numbers, and the combination of real+imaginary numbers.


What are the operations involving real numbers?

There are infinitely many operations. Any rule that takes one or more real numbers as input and outputs one or more real numbers is an operation involving real numbers. So addition, subtraction, multiplication, division, squaring, doubling, cube-rooting, trigonometric functions, multiplying a real vector by a matrix of the appropriate size, are all examples.


How are complex numbers and real numbers related?

Complex numbers extend the concept of real numbers by introducing an imaginary unit, denoted as "i." Real numbers can be considered a subset of complex numbers with the imaginary part equal to zero. Complex numbers include both a real and imaginary component, allowing for operations like addition, subtraction, multiplication, and division.


Are imaginary numbers real numbers?

When people started classifying numbers in different ways Some numbers were grouped together and called Real numbers. Solutions that would create Imaginary numbers were simply explained away as impossible, later the rules for working with these numbers, but, even though they are not considered Real numbers some math operations will create Real number answers.


What is the combination of real numbers in math?

It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.It depends on the combination. Real numbers are closed with respect to arithmetical operations (+, -, *, /), as well as integer powers (exponents). So a combination of real numbers using any of these operators will yield a real number. But the set is not closed with respect to some fractional powers - for example, the square root of a negative number is not real.


How real numbers are divided into subgroups?

The main subgroup is the rational numbers. The set of irrational numbers is not closed with regard to addition basic arithmetical operations and so does not form a group.


What are the different rules in governing operations of real numbers?

The set of real numbers is closed under addition, subtraction, multiplication, and division (except that you cannot divide by zero). By closed, this means that if the two numbers in the operation are both real numbers, the result of the operation will always be a real number. Dividing by zero is undefined (for all practical purposes)


What expression consists of numbers and operations?

algebraic expression consists of numbers and operations


What kind of expressions that combine numbers and operations?

All expressions combine numbers and operations!


What is number system in computer?

A collection of things together with operations on those numbers and the properties that the operations satisfy or in other words, a collection of numbers together with operations, properties of the operations, and a system of representing these numbers.