The decimal expansion of 17/8 is of the type:
Answers
2.125
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Given : Rational number 17/8
To find : whether number is terminating decimal or non-terminating decimal
Step-by-step explanation:
Any Rational number is terminating decimal if it has only 2 & 5 as factors in denomainator on doing prime factorization
17/8
Numerator = 17
Denominator = 8
8 = 2 * 2 * 2
Hence denominator has only 2 as Prime Factor
Hence Fraction will be terminating decimal
17/ 8
= 17/ (2 * 2 * 2)
= 17 * 5 * 5 * 5 / ( 2 * 2 * 2 * 5 * 5 * 5)
= 2125/(10 * 10 * 10)
= 2125/1000
= 2.125
Hence decimal expansion of 17/8 is Terminating decimal
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