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Question

Express each of the following decimals in the form pq :

(i) 0.¯¯¯4 (ii) 0.¯¯¯¯¯¯37


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Solution

(i) 0.¯¯¯4

Let x = 0.¯¯¯4 = 0.4444.... ....(i)
10 x = 4.4444... ....(ii)

Subtracting (i) from (ii)

9x = 4 x = 49

0.¯¯¯4=49

(ii) 0.¯¯¯¯¯¯37

Let x = 0.¯¯¯¯¯¯37 = 0.373737... ....(i)

100 x = 37.373737... ....(ii)

Subtracting (i) from (ii)

99 x = 37 x = 3799

0.¯¯¯¯¯¯37 = 3799


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