insert 2 rational number between 3 and 4
Answers
Answer:
3•1. 3•2..........3•9
Answer:
(i) 3 and one rational number between 3 and 4 is
Other rational number is
∴other rational number between 3 and 4 is
3 < 3.25 < 3.5 < 4
(ii) begin mathsize 12px style 1 third space and space 1 fourth end style
begin mathsize 12px style One space rational space number space between space 1 third space and space 1 fourth space is end style
Other rational number is
begin mathsize 12px style fraction numerator begin display style 1 third plus 1 fourth end style over denominator 2 end fraction
equals 7 over 12 cross times fraction numerator begin display style 1 end style over denominator 2 end fraction
equals 7 over 24 end style
begin mathsize 12px style One space rational space number space between space 1 third space and space 7 over 24 space is end style
begin mathsize 12px style fraction numerator begin display style 1 third plus 7 over 24 end style over denominator 2 end fraction
equals open parentheses fraction numerator 8 plus 7 over denominator 24 end fraction close parentheses cross times 1 half
equals 15 over 48
equals 5 over 16 end style
begin mathsize 12px style Two space rational space numbers space between space 1 third space and space 1 fourth space are end style
begin mathsize 12px style 1 third less than 5 over 16 less than 7 over 24 less than 1 fourth end style