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State Whether the Following Rational Number Will Have a Terminating Decimal Expansion Or a Non-terminating Repeating Decimal Expansion: `13/3125` - Mathematics

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Sum

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

`13/3125`

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Solution

`13/3125 = 13/5^5`

Since the denominator has only 5 as its factor, it is a terminating decimal expansion.

Concept: Revisiting Rational Numbers and Their Decimal Expansions
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APPEARS IN

NCERT Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.4 | Q 1.01 | Page 17

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