please answer it fast guys I have exam tomorrow
after how many places the decimal expansion of the rational number 6/2^113*5^110 will terminate.
Attachments:
Answers
Answered by
1
Solution:
68/(2^113 × 5^110)
= (2²×17)/(2^113 × 5^110)
= 17/(2^111 × 5^110)
Multiply numerator and denominator by 5, we get
= (17×5)/(2^111×5^110×5)
= (84)/(2^111 × 5^111)
= 84/(2×5)^111
= 84/(10)^111
Therefore,
After 111 decimal places given
rational number terminates.
••••
Answered by
1
Answer:
Step-by-step explanation:
Attachments:
Similar questions