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Solution - Revisiting Rational Numbers and Their Decimal Expansions

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ConceptRevisiting Rational Numbers and Their Decimal Expansions  

Question

Write down the decimal expansions of those rational numbers  which have terminating decimal expansions.

(a) `13/3125`

(b) `17/8`

(c)`15/1600`

(d)`23/(2^2`

(e)`6/15`

(f)`35/50`

Solution

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Without actually performing the long division, state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

(i)`13/3125`

(ii) `17/8`

(iii) `64/455`

(iv) `15/1600`

(v) `29/343`

(vi) `23/(2^3`

(vii) `129/(2^2`

(viii) `6/15`

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(x) `77/210`

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(1) 43.123456789

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(3) `43.bar(123456789)`

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Reference Material

Solution for concept: Revisiting Rational Numbers and Their Decimal Expansions. For the course 8th-10th CBSE
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