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Verify commutativity of addition of rati...

Verify commutativity of addition of rational numbers for each of the following pairs of rational number :
(i)`(-3)/5 `and `(-2)/(-15)`

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Verify commutativity of addition of rational numbers for each of the following pairs of rational number :
`(-3)/5` and `(-2)/(-15)`
Commutativity of addition of rational number
`a/b+c/d=c/d+a/b`
`(-3)/5+2/15`
`=>-3/5+2/15=2/15+(-3)/5`
Taking `15` as LCM of `5` and `15`
`=>(-3xx3+2xx1)/(15)=(2xx1-3xx3)/(15)`
`=>(-9+2)/(15)=(2-9)/(15)`
`=>-7/15=-7/15`
Hence Verified.
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RD SHARMA-RATIONAL NUMBERS-All Questions
  1. Re- arrange suitably and find the sum: (-4)/7+7/6+2/7+\ 3+\ (-11)/6

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  2. Verify commutativity of addition of rational numbers for each of the f...

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  3. Verify commutativity of addition of rational numbers for each of the f...

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  4. Verify commutativity of addition of rational numbers for each of the f...

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  5. Verify associativity of addition of rational i.e., (x+y)+z=x+(y+z), wh...

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  6. Verify associativity of addition of rational i.e., (x+y)+z=x+(y+z), wh...

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  7. Write the additive inverse of each of the following rational numbers: ...

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  8. Write the additive inverse of each of the following rational numbers: ...

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  9. Write the negative (additive inverse) of each of the following : (i)...

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  10. Write the negative (additive inverse) of each of the following : (...

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  11. Using commutativity and associativity of addition of rational numbers,...

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  12. Using commutativity and associativity of addition of rational numbers,...

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  13. Re-arrange suitably and find the sum in each of the following: (i)3/...

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  14. Re-arrange suitably and find the sum in each of the following: (i)2/...

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  15. Subtract 3/4from 5/6dot

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  16. Subtract (-3)/8from (-5)/7

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  17. Subtract(-3)/5from9/(10)dot

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  18. The sum of two rational numbers is (-3)/5 . If one of the number is (-...

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  19. What number should be added to (-5)/8 so as to get 5/9\ ?

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  20. What should be subtracted from (-3)/4so as to get 5/6?

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