Question

3. Without actual division, check which of the following rational numbers can be
expressed as non-terminating repeating decimals :
I) 4/9
II) 27/4
III) 6/15
Iv) 5/18
v) 6/28
vi)11/50​

Answer 1

Answer:

We know, decimal expansion is terminating if its denominator is factorised in the form of 2^m × 5^n otherwise it is non terminating.

4/9 non terminating as denominator is factorised as 3x3.

27/4 terminating as denominator is factorised as 2x2.

6/15 = 2/5 terminating as denominator is factorised as 5.

5/18 non terminating as denominator is factorised as 3x3x2.

6/28 = 3/14 non terminating as denominator is factorised as 2x7.

11/50 terminating as denominator is factorised as 5x5x2.

Step-by-step explanation:

so from above we concluded

5/18, 6/28 is non terminating

Answer 2

Answer:

this is correct.............................