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)
Division, since you can't divide by zero.
Real numbers are commutative (if that is what the question means) under addition. Subtraction is a binary operation defined so that it is not commutative.
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
rules of operation sign of numbers
No. Negative numbers are real but their square roots are not.
Subtraction is definitely an operation defined on real numbers. I'm guessing you are actually asking why subtraction is not included as a commutative operation, this is because a-b is not always equal to b-a.
The answer depends on the operation under consideration.
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)
For the set of real numbers, R, a binary operation is a function from R X R into R, where R X R is the x-y plane. A binary operation is commutative if the value returned by the operation is the same regardless of the order of the operands. For real numbers the two most basic commutative binary operations are addition and multiplication and they can be expressed in the following way:If a and b are any two real numbers then a + b = b + a (addition is commutative) and ab = ba ( multiplication is commutative).
Real numbers are commutative (if that is what the question means) under addition. Subtraction is a binary operation defined so that it is not commutative.
Division by zero and square root of negatve number
Ask Niyo Sa Google.:DD
Division, since you can't divide by zero.
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
rules of operation sign of 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.