1.

Fill in the blanks: (i) \( \left(\frac{-3}{17}\right)+\left(\frac{-12}{5}\right) = \left(\frac{-12}{5}\right)+(\ldots \ldots) \)(ii) \( -9+\frac{-21}{8}=(\ldots \ldots)+(-9) \)(iii) \( \left(\frac{-8}{13}+\frac{3}{7}\right)+\left(\frac{-13}{4}\right)=(\ldots \ldots)+\left[\frac{3}{7}+\left(\frac{-13}{4}\right)\right] \) (iv) \( -12+\left(\frac{7}{12}+\frac{-9}{11}\right)=\left(-12+\frac{7}{12}\right)+(\ldots \ldots) \)

Answer»

 (i) \((\frac{-3}{17})+(\frac{-12}5)=(\frac{-12}5)+(\frac{-3}{17})\) 

(By cumulative law of addition)

(ii) -9 + (-\(\frac{21}8)=(-\frac{21}8)\) + (-9)

(By cumulative law of addition)

 (iii) \((\frac{-8}{13}+\frac37)+(\frac{-13}4)=(\frac{-8}{13})+(\frac37+(-\frac{13}4))\) 

(By associative law of addition)

(iv) -12 + \((\frac7{12}+(\frac{-9}{11}))=(-12+\frac7{12})+(\frac{-9}{11})\) 

(By associative law of addition)



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