With out actual division. State whether the following rational no will have a terminating decimal expansion or non terminating repeating decimal expansion.
13/3125,29/343
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Answer: by prime factorization:
Just prime factor the denominator if it as 2^n and 5^n then the following rational number will terminate
13/3125
3125=5^5
Then,13/3125 will terminate
2) 29/343
343=7^3
Then,29/343 will not terminate.
Hope it was helpful...
Step-by-step explanation:
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