# State Whether the Following Rational Number Will Have a Terminating Decimal Expansion Or a Non-terminating Repeating Decimal Expansion: 15 1600 - Mathematics

Sum

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

15/1600

#### Solution

15/1600 =3/320

= 3/(2^6xx5)

Since the denominator has only 2 and 5 as its factors it is a terminating decimal.

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#### APPEARS IN

NCERT Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.4 | Q 1.04 | Page 17