Can Irrational Numbers be NegativeCan Irrational Numbers be NegativeThe best way of understanding that negative of an irrational number is an irrational
number or can irrational numbers be negative is mention below. Friends first we
discuss about irrational number:- irrational number are number that can be
represented by a fraction.
Means they don't have terminating or repeating decimal. Example of irrational number
is Pi (3.14) Friends let us discuss about the topic of a irrational number can be
negative: we can say that a negative irrational number definitely is irrational number.
Let us take a simple example to prove that negative of an irrational number is an
irrational. Suppose Y is an irrational number but -y is rational number that means -y=
p/q for some integer p and q .
That's a contradiction because y=-(-y) =? Irrational number cannot be obtained be
dividing one integer by another.
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So -1/3=-0.333 is not a irrational because it is obtained by the ratio of two integer. 1
and 3. Irrational number can't have a finite decimal expression the numbers we wrote
are actually -1428479/10000000 irrational number like I said can't have a finite or
even periodic decimal expression.
Negative has nothing to do with the property of being rational or not. A negative
number might be rational or irrational. Rational numbers are once that can be written
as fractions such as 1/5. the number -1/5 is also rational. Once that cannot be written
as fractions are irrational such as the square root of 2, but the negative square root of
two is also irrational.
Negative irrational number such as negative pi, negative square root of 2 . But some
negative irrational number that are rational include -2, -13, -8, -4/7,-241/39, 5/0 etc.
This is all for today.In above articles we discuss about that can irrational numbers be
negative number
What are irrational NumbersIrrational numbers are the numbers which are not rational numbers. In other words
we can say that any number that cannot be expressed in the form of p/q are termed
as irrational numbers.
If any floating point number (that is a number that has an integer part as well as an
decimal part is termed as floating point number.) cannot expressed as the ratio of two
integers that floating point number is termed as irrational numbers.
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Let us take some of the examples of Irrational numbers Now if we take the value of "
pi ( ) " that is = 3.1415926535897932384626433832795 This value of is
impossible to express as the simple ratio of two numbers or two integers instead.
Thus the value of is an irrational number.
Let us take some more examples to clearly get an image about the irrational numbers
Let us take a value 3.2. Now 3.2 is not an irrational number, it is a rational number as
3.2 can be expressed as a ratio of two integers that is
A square root of every non perfect square is an irrational number and similarly, a
cube root of non-perfect cube is also an example of the irrational number.
When we multiply any two irrational numbers and the result is rational number, then
each of these irrational numbers is called rationalizing factor of the other one.
What are Rational and Irrational Numbers ?When we deal Rational and Irrational numbers, the first question arise in our mind is
that what are rational and irrational numbers? Rational numbers are those numbers
which can be represented as fraction means having numerator and denominator and
both in integer form. Let's take some examples of rational numbers:
1. 5 is a rational number because it has 1 in its denominator and can be written as
5/1.
2. 2/3 is also a rational number. Now, the next part of the same question i.e. what are
irrational numbers? Irrational numbers are those which can be represented as a
fraction i.e. numbers except rational numbers. They can only be represented as
decimal number.
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