Math, asked by nandinisd03, 1 month ago

Pls tell me fast I will mark you as brainlist question 4 only any 2 parts pls fast

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Answered by aman806933
1

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Answered by Anonymous
7

 \sf4. (i)x =  \dfrac{3}{4},y  =  \dfrac{5}{6},z =  \dfrac{ - 7}{8}

 \implies \sf \: x + (y + z) = (x + y) + z

L.H.S

 \sf \implies \:  \dfrac{3}{4}  + (\dfrac{5}{6} + \dfrac{ - 7}{8})

 \sf \implies \:  \dfrac{3}{4}  + (\dfrac{5}{6}  - \dfrac{ 7}{8})

 \sf \implies \:  \dfrac{3}{4}  + (\dfrac{20  - 21}{24} )

 \sf \implies \:  \dfrac{3}{4}  + (\dfrac{  - 1}{24} )

 \sf \implies \:  \dfrac{3}{4}   -  \dfrac{   1}{24}

 \sf \implies \:    \dfrac{18 - 1}{24}

 \sf \implies \:    \dfrac{17}{24}

R.H.S

 \sf \implies \:  (\dfrac{3}{4}  + \dfrac{5}{6}) + \dfrac{ - 7}{8}

 \sf \implies \:  ( \dfrac{18 + 20}{24}) + \dfrac{ - 7}{8}

 \sf \implies \:   \dfrac{38}{24} -  \dfrac{ 7}{8}

 \sf \implies \:   \dfrac{38 - 21}{24}

 \sf \implies \:    \dfrac{17}{24}

 \sf \bf  \therefore \: L.H.S = R.H.S

 \sf \bf Hence  \: verified   \:  \: \dag

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 \sf4. (iv)x \:  =  \dfrac{ - 3}{5} ,y =  \dfrac{ - 7}{10} ,z =  \dfrac{ - 8}{15}

 \implies \sf \: x + (y + z) = (x + y) + z

L.H.S

 \implies \:  \dfrac{ - 3}{5}  + ( \dfrac{ - 7}{10} +  \dfrac{ - 8}{15} )

 \implies \:  \dfrac{ - 3}{5}  + ( \dfrac{ - 7}{10}  -  \dfrac{  8}{15} )

 \implies \:  \dfrac{ - 3}{5}  + ( \dfrac{  - 21 - 16}{30}  )

 \implies \:  \dfrac{ - 3}{5}  + ( \dfrac{  - 37}{30}  )

 \implies \:  \dfrac{ - 3}{5}   -  \dfrac{   37}{30}

 \implies \:   \dfrac{   - 18 - 37}{30}

 \implies \:   \dfrac{   - 55}{30}

R.H.S

 \implies \: ( \dfrac{ - 3}{5}  +  \dfrac{ - 7}{10}) +  \dfrac{ - 8}{15}

 \implies \: (   \dfrac{ - 6 - 7}{10})  -  \dfrac{  8}{15}

 \implies \:    \dfrac{ - 13}{10} -  \dfrac{  8}{15}

 \implies \:    \dfrac{  - 39 - 16}{30}

 \implies \:   \dfrac{   - 55}{30}

 \sf \bf  \therefore \: L.H.S = R.H.S

 \sf \bf Hence  \: verified   \:  \: \dag

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