Integers

Integers are a set of numbers that include whole numbers and their negative counterparts, as well as the number 0. In other words, integers are the numbers {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Integers are used to represent both quantities and positions on a number line. Positive integers represent quantities or positions to the right of 0 on the number line, while negative integers represent quantities or positions to the left of 0.

When performing operations with integers, there are a few important rules to keep in mind:

Adding Integers: When adding two integers with the same sign, add their absolute values and keep the 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.
Subtracting Integers: To subtract an integer, add its opposite. The opposite of an integer is the integer with the same absolute value but the opposite sign.
Multiplying and Dividing Integers: When multiplying or dividing integers with the same sign, the result is positive. When multiplying or dividing integers with different signs, the result is negative.

Integers are used in various mathematical concepts, such as arithmetic, algebra, and geometry. Understanding integers is crucial for solving mathematical problems and real-world applications.

It's important for students to practice working with integers through exercises and real-life examples to solidify their understanding of this fundamental concept in mathematics.