After how many decimal places will the decimal expansion of 13 upon 2 ki power 3 into 5 ki power 4 terminate
Answers
Answered by
1
Solution:
13²/(2³×5⁴)
= ( 169 × 2 )/( 2⁴ × 5⁴ )
= 338/( 2 × 5 )⁴
= 338/10⁴
= 0.0338 ( terminating decimal)
Therefore ,
13²/(2³×5⁴) terminates after 4
decimal places.
•••••
13²/(2³×5⁴)
= ( 169 × 2 )/( 2⁴ × 5⁴ )
= 338/( 2 × 5 )⁴
= 338/10⁴
= 0.0338 ( terminating decimal)
Therefore ,
13²/(2³×5⁴) terminates after 4
decimal places.
•••••
Answered by
0
Answer:
4 decimal places
Step-by-step explanation:
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