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(2) Notice the prime factors of the denominator of a rational number. If the prime factors
are 2 or 5 only then its decimal expansion is terminating. If the prime factors are other
than 2 or 5 also then its decimal expansion is non terminating and recurring.
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Prime Factors can be determined by fraction methods such as LCM and HCF.
Step-by-step explanation:
We've been told that if the denominator of a fraction has factors other than 2 and 5, we need to figure out what kind of decimal expansion it has.
Consider the following examples:
(i)120=12×2×5=0.05
The elements of the denominator are 2 and 5 in this case. The decimal equivalent of the result is 0.05. As a result, we can observe that the decimal point is reached in this example.
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