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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
\[\text{We have:}\]
\[\frac{2}{5} + \frac{8}{3} + \frac{- 11}{15} + \frac{4}{5} + \frac{- 2}{3}\]
\[ = (\frac{2}{5} + \frac{4}{5}) + (+\frac{8}{3} + \frac{- 2}{3}) + \frac{- 11}{15}\]
\[ = \left( \frac{2 + 4}{5} \right) + \left( \frac{8 - 2}{3} \right) + \frac{- 11}{15}\]
\[ = \frac{6}{5} + \frac{6}{3} + \frac{- 11}{15}\]
\[ = \frac{18 + 30 - 11}{15}\]
\[ = \frac{37}{15}\]
संबंधित प्रश्न
Using appropriate properties find.
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Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:
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Give an example and verify the following statement.
Subtraction is not commutative for rational numbers
`- 3/8 + 1/7 = 1/7 + ((-3)/8)` is an example to show that ______
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Using suitable rearrangement and find the sum:
`-5 + 7/10 + 3/7 + (-3) + 5/14 + (-4)/5`
Verify the property x × y = y × x of rational numbers by using
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Name the property used in the following.
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