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State Whether the Following Rational Number Will Have a Terminating Decimal Expansion Or a Non-terminating Repeating Decimal Expansion: `64/455` - Mathematics

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Question

State whether the following rational number will have a terminating decimal expansion or a non-terminating repeating decimal expansion:

`64/455`

Sum

Solution

`64/455 = (64)/(5xx7xx13)`

Since the denominator has factors other than 2 and 5 it is a non terminating decimal.

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Chapter 1: Real Numbers - Exercise 1.4 [Page 17]

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NCERT Mathematics [English] Class 10
Chapter 1 Real Numbers
Exercise 1.4 | Q 1.03 | Page 17

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