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Using commutativity and associativity of addition of rational numbers, express each of the following as a rational number:
(i)`2/5+7/3+(-4)/5+(-1)/3`

(ii) `3/7+(-4)/9+(-11)/7+7/9`

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AI Generated Solution

Let's solve the given problems step by step. ### (i) \( \frac{2}{5} + \frac{7}{3} + \left(-\frac{4}{5}\right) + \left(-\frac{1}{3}\right) \) **Step 1: Group the terms with the same denominator.** We can group the terms with the same denominator: \[ \left(\frac{2}{5} + \left(-\frac{4}{5}\right)\right) + \left(\frac{7}{3} + \left(-\frac{1}{3}\right)\right) ...
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RD SHARMA-RATIONAL NUMBERS-All Questions
  1. Write the negative (additive inverse) of each of the following : (i)...

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

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

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

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

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

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  7. Subtract 3/4from 5/6dot

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

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

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

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

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

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  13. Subtract the first rational number from the second in each of the foll...

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  14. Subtract the first rational number from the second in each of the fo...

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  15. Subtract the first rational number from the second in each of the fo...

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  16. Subtract the first rational number from the second in each of the fo...

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  17. Evaluate each of the following: (i)2/3-3/5 (ii) 4/7-2/(-3) (iii...

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  18. Evaluate each of the following: (i)-2-5/9 (ii) (-3)/(-8)-(-2)/7 ...

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  19. Evaluate each of the following: (i)(-5)/(14)-2/7 (ii) (13)/(15)-(12)...

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  20. Evaluate each of the following: (i)7/(24)-(19)/(36) (ii) 5/(63)-(-8)...

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