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The decimal form of $36100$ is categorized as ____ decimal.

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Detailed Solution

The decimal form of

36100

is categorized as terminating decimal.
Given:

36100

A rational number

p q

has terminating decimal expansion if we can express the denominator q as

q = 2 m × 5 n

, where m and n are whole numbers. Otherwise it has non-terminating decimal expansion.
Here,

100 = 22 × 52 .

Since the denominator of the given rational number is expressed in the form of

2 m × 5 n,

therefore

36100

has a terminating decimal expansion.

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