Math, asked by VijayaLaxmiMehra1, 1 year ago

4. If 13/125 is a rational number, find the decimal expansion of it, which terminates.

Answers

Answered by siddhartharao77
21
Method1:

Given 13/125


= > 13/5^3

=  >13/2^0 * 5^3.


Therefore it will terminates after 3 decimal places.



Method2:


125) 130 (0.104

        125

        ------

              500

              500

        -------------

                  0


0.104 ---- Therefore it terminates after 3 decimal places


Hope this helps!

VijayaLaxmiMehra1: Answer is 0. 104
siddhartharao77: It can be solved in 2 methods...Wait let me show
siddhartharao77: Kindly refresh it
VijayaLaxmiMehra1: Thanks ☺
siddhartharao77: :-)
Answered by Anonymous
28
Heya!

Here is yr answer......


=> 13/125


By changing the denominator into the form of..... 2^n × 5^m


=> 13/5³×2^0

by multiplying with, 2³

=> 13×2³/5³×2³

=> 13×8/(10)³

=> 104/1000

=> 0.104


Therefore, 13/125 = 0.104


Hope it hlpz....

Similar questions