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