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Without Actual Division Show that Each of the Following Rational Numbers is a Non-terminating Repeating Decimal. (I) `129/(2^2× 5^7 × 7^5)` - Mathematics

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Without actual division show that each of the following rational numbers is a non-terminating repeating decimal. 

(i) `129/(2^2× 5^7 × 7^5)`

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Solution

`129/(2^2× 5^7 × 7^5)`

We know 2, 5 or 7 is not a factor of 129, so it is in its simplest form.
Moreover, (22× 57× 75) ≠ (2m × 5n)  

Hence, the given rational is non-terminatin g repeating decimal.

Concept: Euclid’s Division Lemma
  Is there an error in this question or solution?

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