without dividing state wether the following rational number are terminating ornon terminating
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1. terminating
2. non-terminating repeating
3. terminating
2. non-terminating repeating
3. terminating
harsh208:
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method to do it
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You just need to find the prime factors of the denominators. If they have 2 and 5, they are terminating else non terminating repeating.
So, you'll find that in first two options, both the denominators can be split into prime factors containing two and five. So they are terminating. Only in the last option 8 cannot be prime factorised containing 2 and 5. So it is non terminating but repeating.
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So, you'll find that in first two options, both the denominators can be split into prime factors containing two and five. So they are terminating. Only in the last option 8 cannot be prime factorised containing 2 and 5. So it is non terminating but repeating.
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can you please show me one answer
Okay
Take first option. The demoninator is 50. If you factorised it, you'll get 2*5*5. Since it contains 2*5, therefore it's terminating decimal. It's that simple.
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