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
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.
NO!!!!
An irrational number is one were the decimal digits go to infinity and are not in any regular ordert.
Since 0.000125 terminates at the sixth decimal digit it does not go to infinity. Also irrational numbers cannot be converted to fractions. 0.000125 can be converted to a fraction.
Hence
0.000125 / 1.000000
Cancel down the decimal point, and the prefix zeroes.
Hence
125/1000000
Cancel down by '5'
25/200000
Cancel down again by '5'
5/ 40000
Cancel down by '5' again !!!!
1/8000
The answer!!!!!
NB
pi = 3.141592.... is the most well known irrational number.
Also the square roots of prime numbers e.g.
sqrt(2) = 1.414213562....
If you divide a rational number by an irrational number, or vice versa, you will ALMOST ALWAYS get an irrational result. The sole exception is if you divide zero (which is rational) by any irrational number.