Chapter SR1, Problem 1P

Solution

To perform the indicated operation in the expression $2+\left(-8\right)$ .

  $-6$

Given:

The expression, s $2+\left(-8\right)$ .

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to simplify the given expression $2+\left(-8\right)$ , since the sign of the numbers is different, subtract the numbers and keep the sign of larger number as shown below

  $\begin{array}{c}2+\left(-8\right)=2-8\\ =-6\end{array}$

Thus, the simplified expression is $-6$ .