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To determine if a decimal is terminating or non-terminating without performing actual division, you can analyze the fraction's denominator in its simplest form. A decimal is terminating if the denominator, after simplification, has only the prime factors 2 and/or 5. If the denominator contains any other prime factors, the decimal will be non-terminating.

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1mo ago

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Related Questions

What do you call a decimal that ends with no remainder?

A decimal without a remainder is a whole number or integer.


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 defenetion of terminating decimal?

A terminating decimal is a decimal representation written with a repeating final 0, that is said to end before these zeros. For example, instead of 1.500000..., one would simply write 1.5 without the infinite zeros at the end. In this case, 1.5 is said to be a "terminating decimal number".


Is a decimal that continues without end?

It is a non-terminating decimal, which could represent a rational number or an irrational number.


Is 0.7 a terminating decimal or a repeating decimal?

Well, honey, 0.7 is a terminating decimal because it ends right there at the 7 without any repeating pattern. It's like a one-hit wonder in the decimal world - it comes, it goes, and that's it. So, rest easy knowing that 0.7 won't be playing on a loop anytime soon.


What is the definition for a non terminating decimal?

Nonterminating Decimal: A decimal that continues without end.For example:The square root of 2 = 1.414213562… Therefore, the square root of 2 is a nonterminating decimal.


What is non terminating and repeating decimal?

A non-terminating decimal is a decimal that does not terminate, and goes on forever, and a repeating decimal is a number that continues on forever with a repeated pattern


Can an irrational number be expressed as a decimal?

Only as an approximation. An irrational number is equivalent to a non-terminating, non-recurring decimal. That is, an infinitely long decimal number without any repeating pattern.


How do you convert a fraction to a decimal without using long division?

The only other way is to have a machine do the long division for you.


If the results of long division repeat without ending the guotient is a?

It is a repeating decimal.


How do you devide with a decimal?

There are several ways. My preference with terminating decimals, is to carry out the division using the divisor without a decimal point. Then if the divisor had n digits after the decimal point, it is to move the decimal point in the quotient n places to the left.So, to calculate 18/4.32,first find 18/432 = 0.0416... with the 6 repeating4.32 has two digits after the decimal point so move the decimal point two digits to the left to give the final answer as 4.16 with the 6 repeating.


How do you turn a remainder into a decimal WITHOUT using calculator?

The only way, without a calculator, that I know of is long division.