answersLogoWhite

0


Best Answer

When you divide by a divisor q, the remainders can only be integers that are smaller than q. If the remainder is 0 then the decimal is terminating. Otherwise, it can only take the values 1, 2, 3, ... ,(q-1). So, after at most q-1 different remainders you must have a remainder which has appeared before. That is where the long division algorithm loops back into an earlier pattern = repeating sequence.

User Avatar

Wiki User

8y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: What causes a repeating decimal in the long division algorithm?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What causes a repeating decimal in the long division?

When you divide by a divisor q, the remainders can only be integers that are smaller than q. If the remainder is 0 then the decimal is terminating. Otherwise, it can only take the values 1, 2, 3, ... ,(q-1). So, after at most q-1 different remainders you must have a remainder which has appeared before. That is where the long division algorithm loops back into an earlier pattern = repeating sequence.


What causes the difference in terminating decimals and repeating decimals?

If a fraction is a rational number then if the denominator goes into the numerator or into the numerator multiplied by a power of 10, then you will have a terminating decimal. Otherwise it will be a repeating decimal.


What causes repeating decimals to happen?

If the denominator in the simplest form of a rational number has any prime factor other that 2 or 5 then it will not divide the numerator without remainder. This results in a repeating decimal.


What causes a recursive algorithm to stop calling itself?

If the condition has been reached.


What are the causes of fraction?

Division.


What does the arrangement of atoms in a repeating pattern in a mineral causes the formation?

of crystals.


Cell division that causes growth?

mitosis


What is the name of the cell that causes cell division?

kk


Division of labor causes?

specialization among workers


What disease causes excessive cell division?

Hyperplasia.


Why does division of labor lead to increased specialization?

The division of labor causes each worker to perform a different and unique task.


What causes increased gh secretion?

excess cell growth and division