Question

WHICH OF THE FOLLOWING EXPRESSIONS IS EQUIVALENT TO THE EXPRESSION 17*(-34)+16*(-17)?

Answer 1

Dear Student,

$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{expression}\mathrm{can}\mathrm{be}\mathrm{evaluated}\mathrm{as}\mathrm{follows}: \\ 17\times \left(-34\right)+16\times \left(-17\right) \\ =17\times \left(-34\right)+\left(-17\right)\times 16\left(\mathrm{By}\mathrm{commutative}\mathrm{property}\mathrm{of}\mathrm{multiplication}\mathrm{a}\times \mathrm{b}=\mathrm{b}\times \mathrm{a}\right) \\ =\left(-17\right)\times 34+\left(-17\right)\times 16\left(\mathrm{Interchange}\mathrm{minus}\mathrm{sign}\mathrm{in}\mathrm{first}\mathrm{term}\right) \\ \mathrm{Use}\mathrm{distributive}\mathrm{property}\mathrm{a}\times \mathrm{b}+\mathrm{a}\times \mathrm{c}=\mathrm{a}\left(\mathrm{b}+\mathrm{c}\right)\mathrm{to}\mathrm{get}, \\ =\left(-17\right)\times \left(34+16\right) \\ =\left(-17\right)\times 50 \\ =-850 \end{gathered}$$

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