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प्रश्न
Verify commutativty of addition of rational numbers for each of the following pairs of rotional numbers:
उत्तर
\[\text{We have}\frac{2}{- 7} \text{and} \frac{12}{- 35} . \]
\[ \therefore \frac{- 2}{7} + \frac{- 12}{35} = \frac{- 2 \times 5}{7 \times 5} + \frac{- 12}{35} = \frac{- 10 - 12}{35} = \frac{- 22}{35}\]
\[\frac{12}{- 35} + \frac{2}{- 7} = \frac{- 12}{35} + \frac{- 2 \times 5}{7 \times 5} = \frac{- 12 - 10}{35} = \frac{- 22}{35}\]
\[ \therefore \frac{2}{- 7} + \frac{12}{- 35} = \frac{12}{- 35} + \frac{2}{- 7}\]
\[\text{Hence verified} . \]
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संबंधित प्रश्न
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:
Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:
Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:
For all rational numbers x and y, x – y = y – x.
Subtraction of rational number is commutative.
Rational numbers can be added (or multiplied) in any order
`(-4)/5 xx (-6)/5 = (-6)/5 xx (-4)/5`
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 = (-5)/7` and `y = 14/15`
Verify the property x × y = y × x of rational numbers by using
`x = (-3)/8` and `y = (-4)/9`
