## without long division method ,state wether 935/10500 will have the terminating or non terminating or repeating decimal expantion​

Question

without long division method ,state wether 935/10500 will have the terminating or non terminating or repeating decimal expantion​

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1 week 2021-09-13T09:11:23+00:00 2 Answers 0 views 0

Non – terminating

Step-by-step explanation:

935/10500

-> 935 /10500= 187 / 2250

-> 187 / (5)3 *(3)2* 2

so , it can’t be divide properly

2. Step-by-step explanation:

### To check:

without long division method, find the number have the terminating or non terminating or repeating decimal expansion

Solution: Check for any common factor in numerator and denominator(Number should be simple rational number)

After inspection it is clear that,5 is common in both,cancel that

2) Do prime factors of denominator,if they are in the form of

then given number have terminating decimal expansion otherwise non-terminating repeating decimal expansion

So,

Here we can easily see that

So,given rational number(935/10500) is non-terminating repeating decimal expansion.

Hope it helps you.