Question

Let,
$n = \frac{7}{20 \times 25}$
be a decimal expansion-
(a) after four places of decimal.
(b) after eight-places of decimal.
(c) after three places of decimal.
(d) after five places of decimal.​

Answer 1

Step-by-step explanation:

$n= \frac {7}{20\times 25}$

$n =\frac {7}{500\times}$

$n= \frac {0.07}{5\times }$

$n= \frac{0.07}{5\times}$

$n= 0.014$

option c is right answer.

after three places of decimal.

Answer 2

Answer:

terminates after 3 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