Question

Which of the following rational numbers have terminating decimal?
(i) $\frac{16}{125}$
(ii) $\frac{5}{18}$
(ii) $\frac{2}{21}$
(iv) $\frac{7}{250}$

(a) (i) and (ii)
(b) (ii) and (iii)
(c) (i) and (iii)
(d) (i) and (iv)

Answer 1

Answer:

Among the given options option (d) (i) and (iv) are correct .

 

Step-by-step explanation:

SOLUTION :  

(i) Given :  

16/125

16/2^0 × 5³

Here, the factors of the denominator 125 are 2^0 × 5³ which is in the form 2^m 5ⁿ .

So , 13/125 has a terminating decimal .

(ii)  

5/18

5/2¹× 3²

Here, the factors of the denominator 18 are 2¹ × 3² which is not in the form 2^m 5ⁿ .

So , 5/18 has a non terminating decimal.

(iii)  

2/21

2/3¹× 7¹

Here, the factors of the denominator 21 are 3¹ × 7¹ which is not in the form 2^m 5ⁿ .

So , 2/21 has a non terminating decimal.

(iv)

7/250

7/ 2¹ × 5³  

Here, the factors of the denominator 250 are 2¹ × 5³ which is in the form 2^m 5ⁿ .

So , 7/250 has a non terminating decimal.

Hence, rational numbers 16/125 & 7/250 have terminating decimals.

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

Step-by-step explanation:

hope it helps you...................