0
What else can I help you with?
Every rational number is a real number?
Yes it is, but not every real number is a rational number
Does every real number have a reciprocal?
No, 0 does not have a reciprocal, yet 0 is a real number.
Is the square root of 81 a real number?
Yes. It's 9. The square root of every positive real number is a real number.
What is the real number represented by a point on a number line?
It is the real number whose length represents the distance from the zero on the line to the point on the line.
Is every real number a complex number?
A complex number is a number of the form a + bi, where a and b are real numbers and i is the principal square root of -1. In the special case where b=0, a+0i=a. Hence every real number is also a complex number. And in the special case where a=0, we call those numbers pure imaginary numbers. Note that 0=0+0i, therefore 0 is both a real number and a pure imaginary number. Do not confuse the complex numbers with the pure imaginary numbers. Every real number is a complex number and every pure imaginary number is a complex number also.
Every rational number is a real number?
Yes it is, but not every real number is a rational number
Is every irrrational number a real number?
Yes every irrational and rational number is a real number.
Order properties of real numbers?
The standard properties of equality involving real numbers are:Reflexive property: For each real number a,a = aSymmetric property: For each real number a, for each real number b,if a = b, then b = aTransitive property: For each real number a, for each real number b, for each real number c,if a = b and b = c, then a = cThe operation of addition and multiplication are of particular importance. Also, the properties concerning these operations are important. They are:Closure property of addition: For every real number a, for every real number b,a + b is a real number.Closure property of multiplication: For every real number a, for every real number b,ab is a real number.Commutative property of addition:For every real number a, for every real number b,a + b = b + aCommutative property of multiplication:For every real number a, for every real number b,ab = baAssociative property of addition: For every real number a, for every real number b, for every real number c,(a + b) + c = a + (b + c)Associative property of multiplication: For every real number a, for every real number b, for every real number c,(ab)c = a(bc)Identity property of addition: For every real number a,a + 0 = 0 + a = aIdentity property of multiplication: For every real number a,a x 1 = 1 x a = aInverse property of addition: For every real number a, there is a real number -a such thata + -a = -a + a = 0Inverse property of multiplication: For every real number a, a ≠ 0, there is a real number a^-1 such thata x a^-1 = a^-1 x a = 1Distributive property: For every real number a, for every real number b, for every real number c,a(b + c) = ab + bcThe operation of subtraction and division are also important, but they are less important than addition and multiplication.Definitions for the operation of subtraction and division:For every real number a, for every real number b, for every real number c,a - b = c if and only if b + c = aFor every real number a, for every real number b, for every real number c,a ÷ b = c if and only if c is the unique real number such that bc = aThe definition of subtraction eliminates division by 0.For example, 2 ÷ 0 is undefined, also 0 ÷ 0 is undefined, but 0 ÷ 2 = 0It is possible to perform subtraction first converting a subtraction statement to an additionstatement:For every real number a, for every real number b,a - b = a + (-b)In similar way, every division statement can be converted to a multiplication statement:a ÷ b = a x b^-1.
Is every whole number a real number too?
YES. Every whole number is a real number too.
Is every real number a natural number?
No. There are infinitely many real numbers for every natural number.
Is every real number is rational?
No. Every real number is not a natural number. Real numbers are a collection of rational and irrational numbers.
Is every natural is real number?
No. There are infinitely many real numbers for every natural number.
Every integer is a complex number?
Yes. Every integer is a rational number. Every rational number is a real number. Every real number is a complex number. The complex numbers include all real numbers and all real numbers multiplied by the imaginary number i=sqrt(-1) and all the sums of these.
What is a real number is also irrational number?
Every irrational number is a real number.
Is every Real number an irrational number?
No, a real number could also be a rational number, an integer, a whole number, or a natural number. Irrational numbers fall into the same category of real numbers, but every real number is not an irrational number.
Is every real number a rational number?
No
Is every real number a counting number?
No. 3.6427 is real and rational, but not a counting number.
