The decimal expansion of the rational number 15/6400
will terminate after how many places of
decimals, and hence find the decimal expansion without doing long division
Answers
Answered by
0
8 places if it is wrong sorry if correct mark brilliant
Attachments:
Answered by
0
Given : 15/6400
To Find : The decimal expansion will terminate after how many places of
decimals
Solution:
15/6400
= 3 * 5 / 6400
= 3/ 1280
= 3/ ( 10 * 128 )
= 3/ (10 * 2⁷)
= 3 * 5⁷ / ( 10 * 2⁷ * 5⁷)
= 3 * 5⁷/ ( 10 * 10⁷)
= 3 * 5⁷/ (10⁸)
Hence The decimal expansion will terminate after how 8 places of
decimals
15/6400 = 2,34,375/10⁸
0.00234375
Learn More:
a rational number p/q has a terminating decimal expansion if the ...
brainly.in/question/17428968
in decimal expansion of 9/125 will terminate after - Brainly.in
brainly.in/question/12267826
Similar questions
English,
3 hours ago
English,
3 hours ago
India Languages,
5 hours ago
English,
5 hours ago
Science,
7 months ago