Advertisements
Advertisements
प्रश्न
Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
Advertisements
उत्तर
\[x = - 2, y = \frac{3}{5}, z = \frac{- 4}{3}\]
\[\text{so}, (x + y) + z = ( - 2 + \frac{3}{5}) + \frac{- 4}{3} = (\frac{- 10}{5} + \frac{3}{5}) + \frac{- 4}{3} = \frac{- 7}{5} + \frac{- 4}{3} = \frac{- 21}{15} + \frac{- 20}{15} = \frac{- 21 - 20}{15} = \frac{- 41}{15}\]
\[ x + (y + z) = - 2 + (\frac{3}{5} + \frac{- 4}{3}) = \frac{- 2}{1} + (\frac{9}{15} + \frac{- 20}{15}) = \frac{- 2}{1} + \frac{- 11}{15} = \frac{- 30}{15} + \frac{- 11}{15} = \frac{- 30 - 11}{15} = \frac{- 41}{15}\]
\[ \therefore ( - 2 + \frac{3}{5}) + \frac{- 4}{3} = - 2 + (\frac{3}{5} + \frac{- 4}{3})\]
\[\text{Hence verified .} \]
APPEARS IN
संबंधित प्रश्न
Tell what property allows you to compute `1/3 xx(6xx4/3)` as `(1/3 xx 6) xx 4/3`
Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
Verify associativity of addition of rational numbers i.e., (x + y) + z = x + (y + z), when:
Which of the following expressions shows that rational numbers are associative under multiplication?
Tell which property allows you to compute `1/5 xx [5/6 xx 7/9]` as `[1/5 xx 5/6] xx 7/9`
Verify the property x × (y × z) = (x × y) × z of rational numbers by using
`x = 1, y = (-1)/2` and `z = 1/4`
and What is the name of this property?
Verify the property x × (y × z) = (x × y) × z of rational numbers by using
`x = 2/3, y = (-3)/7` and `z = 1/2`
and What is the name of this property?
Verify the property x × (y × z) = (x × y) × z of rational numbers by using
`x = (-2)/7, y = (-5)/6` and `z = 1/4`
and What is the name of this property?
Verify the property x × (y × z) = (x × y) × z of rational numbers by using
`x = 0, y = 1/2` and `z = 1/4`
and What is the name of this property?
