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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.

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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 0.66666666666666666666 repeating to be on the calculator?

The decimal 0.666666666666... (repeating) appears on calculators due to the way numbers are represented in digital formats. Calculators use a finite number of digits to approximate decimal values, and 0.666... is mathematically equivalent to the fraction 2/3. Because this fraction has a repeating decimal expansion, calculators often truncate or round the repeating digits to fit their display limits, resulting in a representation that might show as 0.66667 or similar, depending on the calculator's settings.


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 disease causes excessive cell division?

Hyperplasia.


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

kk


Why does division of labor lead to increased specialization?

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


What format causes the cells to display two decimal places?

Setting the number of decimal places, in the number format, to 2.