Advertisement Remove all ads

Without Actually Performing the Long Division,129 2 2 × 5 7 × 7 17 - Mathematics

Numerical

Without actually performing the long division, state whether state whether the following rational numbers will have a terminating decimal expansion or a non-terminating repeating decimal expansion.

\[\frac{129}{2^2 \times 5^7 \times 7^{17}}\]
Advertisement Remove all ads

Solution

 The given number is \[\frac{129}{2^2 \times 5^7 \times 7^{17}}\]

Clearly, none of 2, 5 and 7 is a factor of 129.

So, the given number is in its simplest form.

Now,

\[2^2 \times 5^7 \times 7^{17}\]  is not of the form
\[2^m \times 5^n\] 
So, the given number has a non-terminating repeating decimal expansion.
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

RD Sharma Class 10 Maths
Chapter 1 Real Numbers
Exercise 1.6 | Q 1.5 | Page 56
Advertisement Remove all ads

Video TutorialsVIEW ALL [1]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×