Question

classify these rational numbers giving terimating and non terminating recurring decimals 3/5,5/21,1/6,7/10

Answer 1

3/5, 5/2 , 7/10 are terminating while 1/6 is non terminating

Answer 2

ANSWER

Find out rational numbers giving terimating and non terminating recurring decimals

$\frac{3}{5} ,\frac{5}{21},\frac{1}{6},\frac{7}{10}$

Terimating decimal

Decimal number that has digits that do not go on further.

$= \frac{3}{5}$

= 0.6

$\frac{7}{10}$

= 0.7

therefore

$\frac{3}{5} ,\frac{7}{10} are\ the\ rational\ numbers\ giving\ terminating\ decimals$

non- terminating recurring decimals

The decimal number with  group of digits repeating endlessly.

$\frac{5}{21}= \overline{0.238095}$

and

$\frac{1}{6} = 1.\overline{6}$

therefore

$\frac{5}{21} , \frac{1}{6}\ are\ giving\ non-terminatig\ recurring\ decimals.$

Hence proved