Fill in the blanks: (i) -23/17 x 18/35 = 18/35 x (.....) (ii) -38 x -7/19 = -7/19 x (.....)

Question

Fill in the blanks:

(i) \(\frac{-23}{17}\times\frac{18}{35}=\frac{18}{35}\times(.....)\) 

(ii) \(-38\times\frac{-7}{19}=\frac{-7}{19}\times(.....) \)

(iii) \((\frac{15}{7}\times\frac{-21}{10})\times\frac{-5}{6}= (....)\times(\frac{-21}{10}\times\frac{-5}{6})\)

(iv) \(\frac{-12}{5}\times(\frac{4}{15}\times\frac{25}{-16})=(\frac{-12}{5}\times\frac{4}{15})\times(....)\)

Answer 1

(i)

By Commutative Property, i.e, a × b = b × a

\(\frac{-23}{17}\times\frac{18}{35}= \frac{18}{35}\times\frac{-23}{17}\)

(ii)

By Commutative Property, i.e, a × b = b × a

\(-38\times\frac{-7}{19}=\frac{-7}{19}\times-38\)

(iii)

By Associative Property, i.e, (a × b) × c = a × (b × c)

\((\frac{15}{7}\times\frac{-21}{10})\times\frac{-5}{6}=\frac{15}{7}\times(\frac{-21}{10}\times\frac{-5}{6})\)

(iv)

By Associative Property, i.e, (a × b) × c = a × (b × c)

\(\frac{-12}{5}\times(\frac{4}{15}\times\frac{25}{-16})=(\frac{-12}{5}\times\frac{4}{15})\times\frac{25}{-16}\)