Question

Let x = 7/20×25 be a rational number. Then x has decimal expansion, which terminates
(a) after four places of decimal
(b) after three places of decimal
(c) after two places of decimal
(d) after five places of decimal ​

Answer 1

Answer:

(b) terminates after three places of decimal.

Step-by-step explanation:

Let x=7/20×25 be a rational number, then x has decimal expansion

x = 7/(20 * 25)

20 * 25 = 20 * 5 * 5

= 100 * 5

x = 7/(100 * 5)

multiply numerator & denominator by 2

x = 14 / ( 100 * 5 * 2 )

x = 14/1000

x = 0.014

decimal expansion terminates after 3 places of decimal

#BrainLock.