Fill in the blanks: (i) (-3/7) + (-12/5) = (-12/5) + (.....) (ii) (-9) + -21/8 = (....) + (-9)

Question

Fill in the blanks:

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

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

(iii) \((\frac{-8}{13}+\frac{3}{7}) + (\frac{-13}{4})= (.....)+[\frac{3}{7}+(\frac{-13}{4})]\)

Answer 1

(i) \(\frac{-3}{17}\)

By Commutative property, i.e., a+b=b+a 

Therefore,

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

(ii) \(\frac{-21}{8}\)

By Commutative property, i.e., a+b=b+a 

Therefore,

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

(iii) \(\frac{-8}{13}\)

By Associative property, i.e., (a+b)+c=a+(b+c)

Therefore,

\((\frac{-8}{13}+\frac{3}{7}) + (\frac{-13}{4}) = (\frac{-8}{13})+[\frac{-3}{7}+\frac{-13}{4})]\)