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Do some real numbers are not rational numbers?
Yes. The classic example is the square root of 2.
Can commutative be solved by addition subtraction and multipication problems?
Commutativity is a property of some mathematical operations - such as addition or multiplication of real numbers, but not subtraction. It cannot be "solved".
Why rational numbers are dense then real numbers?
Roughly speaking, rational numbers can form real numbers that's why they are more densed than real numbers. For example, if A is a subset of some set X & every point x of X belongs to A then A is densed in X. Also Cauchy sequence is the best example of it in which every bumber gets close to each other hence makes a real number.
Is Some real numbers are not rational numbers?
yes example pi which is ratio of circumference of a circle by diameter. That is a real number which is APPROXIMATED as 22/7 but is not a rational number. Another example square root of 5,6,7. These are all real numbers but cannot be expressed as a rational number (p/q form)
Does commutative property works for an operation?
It works for some operations, for others it doesn't. Specifically, both addition and multiplication of real numbers are commutative.
Are some real numbers rational numbers?
Yes, but there are also real numbers that are not.
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.
What are the differences between real numbers and imaginary numbers?
The set of real numbers is not closed under powers. That is to say, there are some equations of the form y = xa which do not have a solution within the set. Typical example: x is negative, a = 0.5
Are some irrational numbers not real?
No. Irrational numbers by definition fall into the category of Real Numbers.
Are some rational numbers are not real numbers?
No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.
Which set is closed under the operation of subtraction?
The set of integers, rational numbers, real numbers, complex numbers are some of the sets. Also, many of their subsets: for example, all numbers divisible by 3.
Are real numbers rational numbers?
Some are and some aren't. 62 is real and rational. 1/3 is real and rational. sqrt(2) is real and irrational. (pi) is real and irrational.
