Question

Classify the decimal form of the given rational numbers into terminating and non-terminating recurring type:
(Don't do by dividing)
1) 145 ÷ 100 2) 19 ÷ 8
3) 35 ÷ 91 4) 47÷28​

Answer 1

Answer:

Step-by-step explanation:

1)145/100    =In 145/100, 100 is the denominator and 100=2*2*5*5 .                                                                       =thus,denominator has only 2&5 as prime factor .                                                         ∴145/100 has the terminating decimal representation                                                                2)19/8  =in 19/8 ,8 is the denominator and 8=2*4                                                 =thus,denominator has prime factor other than 2&5                                                         ∴19/8 has recurring and non terminating decimal representation.                    3)35/91  =in 35/91 ,91 is a denominator                                                              thus,denominator has prime factors other than 2&5.                                                            ∴35/91 has recurring and non terminating decimal representation.                                      4)47/28   =in 47/28 ,28 is a denominator and 28=7*4                                         thus ,denominator has prime factors other than 2&5                                         ∴47/28 has recurring and non terminating decimal representation