Express as a rational number in simplest form. A mathematical expression shows the repeating decimal 0.23 with a bar over the 23.

Q19 of 114 Page 36

Express as a rational number in simplest form.

Let x = 0. - (i)

Multiply 100 on both sides -

100x = 23. - (ii)

Subtract the equations (i) from (ii) -

⇒ 99x = 23

So x =

The LCM of two numbers is 1200. Show that the HCF of these numbers cannot be 500. Why?

Express as a rational number in simplest form.

Express why 0.15015001500015… is an irrational number.

Show that is irrational.