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Real Numbers

Question

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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:

$left parenthesis ix right parenthesis space 35 over 50$

Solution

space space space space left parenthesis ix right parenthesis space 35 over 50 equals fraction numerator 35 over denominator 2 cross times 5 squared end fraction rightwards double arrow

has a terminating decimal expansion.

[By NCERT Theorem 1.6]

Some More Questions From Real Numbers Chapter

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