Operating with Integers: Arithmetic with Positive and Negative Integers

Introduction

In this lesson, we will explore how to perform arithmetic operations such as addition, subtraction, multiplication, and division with positive and negative integers.

Key Concepts

1. Addition of Integers

   • When adding two integers with the same sign, add their absolute values and keep the common sign.
   • When adding two integers with different signs, subtract the smaller absolute value from the larger absolute value and keep the sign of the integer with the larger absolute value.

2. Subtraction of Integers

   • To subtract an integer, add its opposite. For example, to compute $a - b$, use $a + (-b)$.

3. Multiplication of Integers

   • The product of two integers with the same sign is positive. The product of two integers with different signs is negative.

4. Division of Integers