Question

Without actually performing division, state which of these number will terminating decimal
expression or non terminating repeating decimal expression
(a) 7/25 (b) 3/7 (c) 29/343 (d) 6/15 (e) 77/210 (f) 11/67 (g) 15/27 (h) 11/6

Answer 1

Answer:

7/25=7/5×5 (mutiply 2square to both numerator and denominator then ans is 0.28

3/7 is terminating,because there is neither power of 2power n nor 5 power m

as like 29/343. 6/15we can write as 2/5

2/5 is non terminating and recurring decimal ans 0.4

77/210 is non terminating and recurring decimal

77/210we can write as 11/30 =11/5×3×2

11/6 is non terminating.15/27 is terminating

11/67 also terminating

Step-by-step explanation:

1. if it is possible to write the denominator in the power of 2n (here n is power)
2. 2n×5m (n and m are powers)
3. where m and n arenon integers
4. which is non terminating recurring decimal
5. we have to write the denominator in the power of 2power n or 5 power n

Hope this answer will help u THANK YOU