First of all 'pi' is spelled as 'pi' . NOT 'pie' ; that is the meat pie of apple pie that you eat.
'pi' is the small case classical Greek letter 'p' and mean 'proportion'.
It is the proportional constant between a circles diameter and circumference.
'pi' is an IRRATIONAL number.
Casually this means, that the decimal digits go to infinity, and the digits are NOT in a any regular order. .
More formally 'irrational' means that you cannot form an exact ratio from it's decimal digits.
pi= 3.14 , 3.1416, 3.14592654, 22/7 are all approximations of 'pi'.
Super . Duper Computers have calculated 'pi' to billions of places and still going. !!!!!
Since it can be written as a fraction (9.0 = 90/10), then it 9.0 is a rational number.
Definitely RATIONAL.
Remember , casually irrational numbers are those decimals that go to inifinity , and the decimal digits are not in any regular order.
pi = 3.1415926.... is probably the most well known irrational number.
Other irrational numbers are the Sqyare roots of prime numbers.
e.g. sqrt(2) = 1.414213562....
sqrt(3) = 1.732508080....
sqrt(5) = 2.236067978....
More formally an Irrational number cannot be converted to a quotient (fraction).
NO!!! It is an integer.
Casually irrational numbers are those where the decimal digits go to infinity and there is no regular order in the decimal number sequence.
pi = 3.1415926.... Is probably the most well known irrational number.
No because if need be it can be expressed as a fraction and so therefore it is a rational number
Since 1.42 could be written as a fraction (142/100), then of course it is a rational number.
sqrt(32) = 4sqrt(2)
The square root of '2' is irrational, so the square root of '32' is irrational.
Rational, because it can be converted to a fraction .
Let
P = 0,353535....&
100P = 35.353535...
Subtract
99P = 35.0
P = 35/99 This will not reduce any further.
NB An IRRATIONAL number can be casually thought of as a decimal were the digits go to infinity , and there is no regular order in the digits.
pi = 3.141592... is probably the most well known irrational number.
Other irrational; numbers being the square root of prime numbers.
e.g.
sqrt(2) = 1.414213562....
If a numerator and/or denominator in a fraction is irrational, the entire fraction is irrational. Since pi is irrational, pi divided by two is also irrational.
Rational , because it can be converted to a fraction.
7.76 = 7 76/100 = 7 38/50 = 7 19/25
NB Irrational numbers cannot be converted tpo a quotient.
'pi = 3.1415936.... ' it the most famous irrational number.
When you are given pi = 3.14' in school , this is only an approximation.
sqrt(0.09 is rational because you can convert it to a quotient.
sqrt(0.09) = 0.3 = 3/10 a quotient.
It is rational.
Any number that has a digit, or group of digits, that repeat forever is rational.
NO!!!!
It can be converted to a rational fraction.
Method.
Let P 0.6666....
& 10P = 6.6666....
Subtract
9P = 6.0 = 6
P = 6/9
P = 2/3
With Irrational numbers you cannot convert to a fraction.
Casually an irrational number is one which goes to infinity, but the digits are not in any regular order. pi = 3.141592654.. is probably the most famous irrational number. Others being the square root (2) = 1.414213562....
and the square roots of prime numbers.
9.98 million = 9,980,000
In word it is said as 'Nine million, nine hundred and eighty thousand'.
1.35 is a rational number that can also be expressed as a fraction.
An irrational number must not have a repeating sequence. If we have a number, such as 0.333333...., we can turn this into a rational number as such.
Let x = 0.333333......, then multiply both sides by 10:
10x = 3.333333......
Now subtract the first equation from the second, since the 3's go on forever, they will cancel each other out and you're left with:
9x = 3. Now divide both sides by 9: x = 3/9 which is 1/3, a rational number equal to 0.3333333....
If a number can be expressed as the ratio a/b, where a and b are integers (with the restriction that b not equal zero), then the number is rational. If you cannot express the number as such, then it is irrational.
Irrational numbers can be roots because they are solutions to certain mathematical equations. For example, the square root of 2 is an irrational number that is a solution to the equation x^2 = 2. Similarly, other irrational numbers can be roots of different equations depending on their mathematical properties.
The square root of 25 simplifies to 5, and the square root of 75 does not have a simplified whole number value.
No, the square root of 432.8 is an irrational number because it cannot be expressed as a fraction of two integers.
Some examples of sets of real numbers include:
The square of a rational number can be either rational or irrational. However, the square of an irrational number is always irrational.