The Decimal Representation of 23/2^3×5^2 will be - Bzziii.com

The decimal representation of `\frac{"23"}{"2"^{"3"}\times "5"^{"2"}}` will be 

(a) Terminating 
(b) Non-terminating 
(c) Non-terminating and repeating 
(d) Non-terminating and non-repeating 

(a) Terminating 

Explanation:

⇒ `\frac{"23"}{"2"^{"3"}\times "5"^{"2"}}`

⇒ `\frac{"23"}{"2"^{"3"}\times "5"^{"2"}}``\times``5/5`

⇒ `\frac{"23"}{"2"^{"3"}\times "5"^{"3"}}`

⇒ ` \frac{115}{(2\times5)^{3}} `

⇒ ` \frac{115}{10^{3}} `

⇒ `115/1000`

⇒ 0.115

∴ The decimal expansion is terminating.

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