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29/16, Classify the decimal form of the given rational numbers into terminating and non-terminating recurring type.

User M A M A D
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Final answer:

The decimal form of 29/16 is a terminating decimal. The decimal form of the given fraction 29/16 is approximately 1.8125. Since the decimal does not repeat or continue indefinitely, it is classified as a terminating decimal.

Step-by-step explanation:

The decimal form of the rational number 29/16 is 1.8125. To classify this decimal, we need to determine if it is terminating or non-terminating recurring.

We can observe that 1.8125 does not repeat any digit or group of digits, so it doesn't have a recurring pattern. Since it eventually stops, the decimal form of 29/16 is a terminating decimal.

The decimal form of the given fraction 29/16 is approximately 1.8125. Since the decimal does not repeat or continue indefinitely, it is classified as a terminating decimal.

The given rational number is 29/16. If we perform the division, we get approximately 1.8125. This result is a decimal number that does not repeat or continue indefinitely, therefore it is a terminating decimal.

Terminating decimals are those decimals that have an end. They are the result of the division of two integers where the denominator, after reducing to simplest form, is a product of 2, 5 or both, because 2 and 5 are the prime factors of 10, which is the base of the decimal system.

On the other hand, if the division process continues indefinitely without producing a repeating pattern then the resultant decimal is said to be a Non-terminating non-repeating decimal. If the division process continues indefinitely and produces a repeating pattern then the resultant decimal is said to be a Non-terminating repeating decimal, also known as recurring decimal.

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User Supersharp
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