Question

Write a pair of integers whose sum is -7.

Find the product using suitable property

750 X [-45] + [-750] X 55

Answer 1

$$\begin{gathered} \left(\mathrm{a}\right). \\ \mathrm{The}\mathrm{integers}\mathrm{whose}\mathrm{sum}\mathrm{is}-7\mathrm{are}:-4\mathrm{and}-3 \\ \left(-4\right)+\left(-3\right)=-\left(4+3\right)=-7 \\ \left(\mathrm{b}\right). \\ 750\times \left(-45\right)+\left(-750\right)\times 55 \\ =750\times \left[\left(-45\right)+\left(-55\right)\right]\left\{\mathrm{distributive}\mathrm{law}\right\} \\ =750\times \left[-\left(45+55\right)\right] \\ =750\times \left(-100\right) \\ =-75000 \end{gathered}$$