Terminating and Non-terminating recurring decimal

Classify the following numbers as terminating decimal or non-terminating recurring decimal or non-terminating non-recurring decimal: (i) 0.1666… (ii) 0.250 (iii) 1.01001000100001… (iv) 0.27696 (v) 2.142857142857… (vi) 0.3 (vii) 0.2359872785.... (viii) 0.484848848... (ix) 2.502500250002.... (x) 4.123456789 Also classify these given numbers as Rational and irrational numbers.

Terminating and Non-Terminating recurring decimal expansion

What is Finite or Terminating decimal?

Write twhether the rational number (51)/(1500) will have a terminating decimal expansion ora non- terminating repeating decimal expansion.

Write whether the rational number (7)/(75) will have a terminating decimal expansion or non-terminating repeating decimal expansion .

Without actually performing the long division. State whether the rational number 84/455 will have terminating decimal expansion on a non-terminating repeating decimal expansion .

Recurring: pure recurring and mixed recurring decimals and its conversion

Which of the following rational numbers will have terminating decimal expansion or a non-terminating repeating (recurring) decimal expansion (i) (135)/(50) (ii) (4)/(11) (iii) (8)/(7) (iv) 6 (3)/(8) (v) (55)/(9) (vi) (5^(2) xx 3^(3))/(2 xx 5^(3) xx 27) (vii) (51)/(60)

Without actually performing the long division, state whether the rational number will have a terminating decimal expansion or a non - terminating repeating decimal expansion (17)/(8)