Chapter SH, Problem 2.3.12EP

To determine

To find: Difference of the given expression

Answer to Problem 2.3.12EP

  $-3$

Explanation of Solution

Given information:

  $-6-\left(-10\right)-7$

Calculation:

While subtracting the numbers, the sign in final value will be the sign of greater number in expression. If both the numbers are negative, final value will be their sum with negative sign.

We know product of numbers with same sign is always positive and product of numbers with opposite sign is always negative.

Difference of the given expression can be calculated as shown:

  $\begin{array}{l}-6-\left(-10\right)-7=-6+10-7\mathrm{...}\left[(-)·(-)=(+)\right]\\ \Rightarrow -6-\left(-10\right)-7=4-7\\ \Rightarrow -6-\left(-10\right)-7=-3\end{array}$