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Is 5/16 is a terminating decimal? Give reasons without actually dividing it?
Most Upvoted Answer
Is 5/16 is a terminating decimal? Give reasons without actually dividi...
= 5/16
= 5 / 2⁴
= 5*5⁴/2⁴*5⁴
= 5*5⁴/(10)⁴
= 5*625/ 10000
= 3125/ 10000
= 0.3125
= 5 / 2⁴
= 5*5⁴/2⁴*5⁴
= 5*5⁴/(10)⁴
= 5*625/ 10000
= 3125/ 10000
= 0.3125
Community Answer
Is 5/16 is a terminating decimal? Give reasons without actually dividi...
Is 5/16 a terminating decimal?
Explanation:
- To determine if 5/16 is a terminating decimal, we need to look at the denominator, which is 16 in this case.
- In order for a fraction to be a terminating decimal, the denominator must be a product of only 2's and/or 5's.
- The prime factorization of 16 is 2^4, which means it only has 2's in its factorization.
- Since 16 only has 2's in its factorization and does not have any 5's, 5/16 cannot be expressed as a terminating decimal.
- Therefore, 5/16 is not a terminating decimal.
Conclusion:
- In conclusion, 5/16 is not a terminating decimal because the denominator 16 is not a product of only 2's and/or 5's.
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Is 5/16 is a terminating decimal? Give reasons without actually dividing it?
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Is 5/16 is a terminating decimal? Give reasons without actually dividing it? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Is 5/16 is a terminating decimal? Give reasons without actually dividing it? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is 5/16 is a terminating decimal? Give reasons without actually dividing it?.
Is 5/16 is a terminating decimal? Give reasons without actually dividing it? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about Is 5/16 is a terminating decimal? Give reasons without actually dividing it? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Is 5/16 is a terminating decimal? Give reasons without actually dividing it?.
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