answersLogoWhite

0


Best Answer

That depends how the decimal is defined. If you have a fraction, and convert it to a decimal:

* If the fraction, in simplest terms, only has the prime factors 2 and 5 in its denominator, the corresponding decimal number is terminating. This is related to the fact that 2 and 5 are the factors of 10 (the base of our decimal system). For example, a denominator of 2, 4, 5, 8, 10, 16, 32, 125, 625, 20, etc., will be terminating.

* If there is any other prime factor in the denominator, the corresponding decimal number will repeat periodically. This is the case with denominators such as 3, 6, 7, 9, 11, 12, 13, etc.

User Avatar

Wiki User

10y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How can you tell if a decimal is repeating or terminating?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Does the sum of a repeating decimal and a terminating decimal equal a terminating decimal?

No, the sum of a repeating decimal and a terminating decimal is never a terminating decimal.


Is 0.66 a terminating or repeating decimal?

It is terminating - after two decimal digits.


Is 0.875 a terminating or a repeating decimal?

0.875 is a terminating decimal and as a fraction it is 7/8


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.


Is -0.061 a terminating or repeating decimal?

It is a terminating decimal.


Is 0.4 a repeating decimal or a terminating decimal?

Terminating.


Is 0.700 a repeating decimal or a terminating decimal?

Terminating.


What is non terminatin repeating decimal?

A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.


Is 2.4545 a repeating decimal or a terminating decimal?

As shown, a terminating decimal.


Is 0.3125 a repeating or terminating decimal?

0.3125 is a terminating decimal.


What numbers can be expressed as a terminating or repeating decimal?

Rational numbers can be expressed as a terminating or repeating decimal.


Is 8.56909 a rational or irrational decimal?

Any terminating decimal is rational. So are repeating (periodic) decimals.Any terminating decimal is rational. So are repeating (periodic) decimals.Any terminating decimal is rational. So are repeating (periodic) decimals.Any terminating decimal is rational. So are repeating (periodic) decimals.