answersLogoWhite

0


Best Answer

2/5 can be simply represented in the decimal system. It is 1 tenth of 20/5, ie 0.4 . But 1/3 is a bit more tricky, because if you say it is 1 tenth of 10/3 you get 3 and 1 left over to be divided by 3 so you've got nowhere. In the decimal system you can only represent 1/3 by 3/10 + 3/100 + 3/1000 etc forever. This is a geometric series, and the sum of this is (using the formula for a geometric series) just 0.3/(1-1/10) = 1/3 . That's a problem of numbers in "base 10". In base 3, one third is simply 0.1 . A number with repeating decimals (or groups of repeats) can always be turned back to a fraction by summing the series.

User Avatar

Wiki User

12y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What causes the difference between terminating and repeating decimals?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is the difference between non terminating decimals and repeating decimals?

You answered yourself in the question.


What is the difference between repeateing and terminating decimals?

A terminating decimal is something like .25, where a repeating decimal is something like 1/3


What is the difference between a terminating and a repeating decimal?

A terminating decimal reaches an end after a finite number of digits whereas a repeating decimal, after a finite number of digits, has a string of decimals (also of finite length) that repeats forever. Thus 1.2356 is a terminating decimal. 1.456333... is a repeating decimal with the digit 3 repeating an infinite number of times. So also is 23.56142857142857...... where the string 142857 repeats to infinity. In fact, terminating decimals may be viewed as repeating decimals with zero repeating infinitely.


What is the difference between a terminating decimal and a repeating decimal?

i really dont know


What is the difference between terminating and repeating numbers?

A terminating number has a definitive value - A repeating number continues indefinitely. For example - 10 divided by 8 is 0.125 (a terminating number) - 10 divided by 3 is 3.333333 (the decimal repeats indefinitely).


What is the differencce between a terminating and a repeating decimal?

A terminating decimal is a decimal that ends. A repeating decimal is a decimal that goes on and on.


What is the comparison between 0.1 repeating and 0.1 terminating?

0.1 repeating = 1/9 0.1 terminating = 1/10


What is the difference between a terminating decimal and a non-terminating decimal?

A terminating decimal is a decimal that ends like 3.5 or 7.819. A non terminating or Repeating decimal is a decimal that does not end. Instead is goes on forever like 1/3 which is .3 repeating. Pi is another exaple of a non terminating decimal.


What is the difference between terminating and non-terminating decimals?

A terminating decimal is a number whose decimal representation stops (or terminates) after a finite number of places. For example, 2.5, 2.3345688756 or even 325.452222222 A non-terminating decimal is one that goes on forever.


What is the relationship between repeating decimals and fractions?

They are both representations of rational numbers.


What set of numbers contain nonrepeating and nonterminating decimals?

If a number consists of a series of non repeating and non terminating digits then it is irrational.A particularly well known example is that of pi (which is an irrational number representing the proportion between the diameter of a circle and its circumference).


What are the difference between comparing whole number and comparing decimals?

There is no difference.