Question

1 . Express 1.272727... in p/q form.
2 . Write 2/11 in decimal form and state what kind of a decimal is it.
3 . Visualize 3.567 on number line using successive magnification.

Answer 1

Answer:

1. 1.2727bar = 1.2727

Let x = 1.2727. (i)

Multiply 100 in both sides.

So,

x × 100 = 100× 1.2727

100 x = 27.27 (ii)

Now, subtract equation (i) from equation (ii)

100 x = 27.2727

x = 1.2727

99x = 26.0000

99x = 26

x = 26/99

2. 2/11= 0. 181818

Therefore , the given number is non - terminating ( recurring) / non- terminating repeating decimal expansion.