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You use an approximate decimal representation or part of an infinite series.
For example,
pi = 4*[1 - 1/3 + 1/5 - 1/7 + ... ]
The above series is infinite but you can stop whenever you want to get an approximation. There are many such series.
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Can an irrational number become a rational number?
How would you do that ?? You'd have to change the value of the number. As long as the irrational number keeps its original value, it's an irrational number.
What is the sum of a rational number and irrational number?
The value of the sum depends on the values of the rational number and the irrational number.
How do you find the value of an irrational square root?
You can either express it as a number in a radical - possibly in the hope or expectation that it will cancel out. Or you approximate it using one of several methods. Since it is irrational, you can never write down its value in the form of a ratio, terminating or recurring decimal.
Is a logarithm an irrational number?
Usually, but not necessarily. A logarithm that is not an integer-value is irrational. For example log10100 = 2 which is a rational number. log1012 = 1.0791812460476... which is an irrational number.
How do you find pie of a circle?
Pi is a mathematical constant and does not depend on a particular circle. It is an irrational (transcendental) number whose approximate value is 3.14159 although 3.14 is also used.
When do you need to approximate an irrational number with a rational value?
If the simplified form of an expression contains an irrational number and a numerical evaluation is required then it is necessary to use a rational approximation.
Can an irrational number become a rational number?
How would you do that ?? You'd have to change the value of the number. As long as the irrational number keeps its original value, it's an irrational number.
What is the cubic root of 231?
6.13579244 (approximate, this is an irrational number)
What is the sum of a rational number and irrational number?
The value of the sum depends on the values of the rational number and the irrational number.
How do you find the value of an irrational square root?
You can either express it as a number in a radical - possibly in the hope or expectation that it will cancel out. Or you approximate it using one of several methods. Since it is irrational, you can never write down its value in the form of a ratio, terminating or recurring decimal.
Consider the irrational number 73 . Between what two integers is the value of this number?
73 is not irrational!
Between what two whole numbers is the Square root of 125?
Square root of 125 is an irrational number and its approximate value is 11.180. So it lies between 11 and 12.
How do you find pie of a circle?
Pi is a mathematical constant and does not depend on a particular circle. It is an irrational (transcendental) number whose approximate value is 3.14159 although 3.14 is also used.
Is a logarithm an irrational number?
Usually, but not necessarily. A logarithm that is not an integer-value is irrational. For example log10100 = 2 which is a rational number. log1012 = 1.0791812460476... which is an irrational number.
What is a number that can not be made in to a fraction?
It is an irrational number such as the value of pi
Does an irrational number times an irrational number equal an irrational number?
Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.
Why is the location of an irrational number an approximate location?
It is not! The square root of 2, for example, is irrational but you can always locate it exactly by using the diagonal of a unit square.
