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प्रश्न
Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:
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उत्तर
\[\text{We have:}\]
\[ \frac{4}{7} + 0 + \frac{- 8}{9} + \frac{- 13}{7} + \frac{17}{21}\]
\[ = (\frac{4}{7} + \frac{- 13}{7}) + (\frac{- 8}{9}) + \frac{17}{21}\]
\[ = \left( \frac{4 - 13}{7} \right) + \left( \frac{- 8}{9} \right) + \frac{17}{21}\]
\[ = \frac{- 9}{7} + \frac{- 8}{9} + \frac{17}{21}\]
\[ = \frac{- 81 - 56 + 51}{63}\]
\[ = \frac{- 86}{63}\]
संबंधित प्रश्न
Using appropriate properties find
`2/5 xx (-3/7) - 1/6 xx 3/2 + 1/14 xx 2/5`
Name the property under multiplication used in given:
`-13/17 xx ((-2)/7) = (-2)/7 xx ((-13)/17)`
Verify commutativty of addition of rational numbers for each of the following pairs of rotional numbers:
Verify commutativty of addition of rational numbers for each of the following pairs of rotional numbers:
Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:
Give an example and verify the following statement.
Subtraction is not commutative for rational numbers
Rational numbers can be added or multiplied in any ______.
For all rational numbers x and y, x – y = y – x.
Verify the property x × y = y × x of rational numbers by using
`x = 2/3` and `y = 9/4`
Verify the property x × y = y × x of rational numbers by using
`x = (-3)/8` and `y = (-4)/9`
