Question

Write the following in decimal form and say what kind of decimal expansion each has :

(i) \(\frac{36}{100}\)

(ii) \(\frac{1}{11}\)

(iii) 4\(\frac{1}{8}\)

(iv) \(\frac{3}{13}\)

(v) \(\frac{2}{11}\)

(vi) \(\frac{329}{400}\)

Answer 1

Terminating decimal expansion. 

(ii)

Non-terminating decimal expansion.

0.23069 the bar above the digits indicates the block of digits that repeats. 

∴ This is Non-terminating, repeating decimal. 

(v)

Here, 0.18 is block of digits that repeats. 

∴ This is non-terminating, repeating decimal. 

(vi) 

This is terminating decimal because remainder is zero.