Recurring
The name for a decimal of this kind is "recurring".
No. Pi is a transcendental number which is a kind of irrational number. It has an infinite decimal representation which does not end nor does it go into a recurring cycle. That does not mean that there are no repeated digits, it simply means that digits may repeat themselves for a little while but then continue in what appears to be a random pattern. Not only does it not have an infinite decimal representation, but infinite binary, ternary, etc representations.
A terminating decimal or a decimal that, after a finite number of digits, settles into a repeating pattern (known as a recurring decimal). This need not happen straight after the decimal point.
A decimal, or specifically a decimal fraction. The definition of a decimal fraction is "A decimal having no digits to the left of the decimal point except zero, such as 0.2 or 0.00354." Hope this helps!
There are non-zero digits after the decimal point, so it is not an integer of any kind.
Irrational.
The name for a decimal of this kind is "recurring".
A decimal to two digits, perhaps.
No. Pi is a transcendental number which is a kind of irrational number. It has an infinite decimal representation which does not end nor does it go into a recurring cycle. That does not mean that there are no repeated digits, it simply means that digits may repeat themselves for a little while but then continue in what appears to be a random pattern. Not only does it not have an infinite decimal representation, but infinite binary, ternary, etc representations.
A terminating decimal or a decimal that, after a finite number of digits, settles into a repeating pattern (known as a recurring decimal). This need not happen straight after the decimal point.
A decimal, or specifically a decimal fraction. The definition of a decimal fraction is "A decimal having no digits to the left of the decimal point except zero, such as 0.2 or 0.00354." Hope this helps!
There are non-zero digits after the decimal point, so it is not an integer of any kind.
An irrational number, for example pi or e or the square root of 2
Pi is an irrational number, a decimal that won't stop. It has been calculated to ten trillion digits, which is kind of silly because just 39 digits are enough to calculate the circumference of a circle the size of the observable universe with an error no larger than the radius of a hydrogen atom.To five places, it's 3.14159
Converting fractions to any kind of decimal is done in exactly the same way: divide the numerator by the denominator. The reverse of converting a recurring decimal to a fraction is done: Look at the digits that recur in the decimal. Count how many there are and then put the recurring digits as the numerator of a fraction with that number of 9s as the denominator. eg to convert 0.33333.... to a fraction, see that the recurring decimal is the digit 3, thus the fraction would be 3/9 = 1/3. eg to convert 0.09090909... to a fraction, see that the recurring decimal is 09 (or 9) and there are 2 digits (the leading 0 is important in counting the number of digits), thus the fraction is 09/99 or 9/99 = 1/11. eg: to convert: 0.142857142857.... to a fraction, see that the digits 142857 recur and there are 6 of them, thus it is 142857/999999 which reduces down (simplifies) to 1/7.
pi is a transcendental number, which is a kind of irrational number. That means that the decimal representation of pi does not end (nor does it have a recurring sequence). There is, therefore, no last digit.
a repeating decimal