Question

(i) The prime factor of 5 is 5. Hence 3 / 5 has a terminating decimal representation. (ii) 20 = 4 x 5 = 22 x 5. The prime factors of 20 are both 2's and 5's. Hence 7 / 20 has a terminating decimal. (iii) The prime factor of 13 is 13. Hence 2/13 has non- terminating decimal. (iv) 40 = 23 x 5. The prime factors of 40 are both 2's and 5's. Hence 27/40 has a terminating decimal. (v) 125 = 53 The prime factor of 125 is 5's. Hence 133 / 125 has a terminating decimal. (vi) The prime factor of 7 is 7. Hence 23 / 7 has a non-terminating decimal representation.

Answer 1

Answer:

(i) The prime factor of 5 is 5. Hence 3 / 5 has a terminating decimal

representation.

(ii) 20 = 4 x 5 = 22 x 5.

The prime factors of 20 are both 2's and 5's. Hence 7 / 20 has a terminating decimal.

(iii) The prime factor of 13 is 13. Hence 2/13 has non- terminating decimal.

(iv) 40 = 23 x 5.

The prime factors of 40 are both 2's and 5's. Hence 27/40 has a

terminating decimal.

(v) 125 = 53

The prime factor of 125 is 5's. Hence 133 / 125 has a terminating

decimal.

(vi) The prime factor of 7 is 7. Hence 23 / 7 has a non-terminating decimal

representation.  

Step-by-step explanation:

Which of the following rational numbers have the terminating decimal representation?

i) 3 / 5

ii) 7 / 20

iii) 2 / 13

iv) 27 / 40

v) 133 / 125

vi) 23 / 7