Integers

An integer is a whole number that can be positive, negative, or zero. In other words, integers are the set of numbers {..., -3, -2, -1, 0, 1, 2, 3, ...}.

Types of Integers

There are three types of integers:

1. Positive Integers: These are the whole numbers greater than zero, such as 1, 2, 3, and so on.
2. Negative Integers: These are the whole numbers less than zero, such as -1, -2, -3, and so on.
3. Zero: It is neither positive nor negative, and is denoted by the number 0.

Operations with Integers

Integers can be added, subtracted, multiplied, and divided just like other numbers. The rules for operations with integers are:

• Addition: When adding two integers with the same sign, add their absolute values and keep the same sign. When adding integers with different signs, subtract the smaller absolute value from the larger absolute value and use the sign of the integer with the larger absolute value.
• Subtraction: Subtraction of integers can be thought of as adding the opposite. That is, a - b is the same as a + (-b).
• Multiplication: The product of two integers with the same sign is positive, while the product of two integers with different signs is negative.
• Division: Division of integers follows similar rules to multiplication, where the quotient is positive if the two integers have the same sign, and negative if they have different signs.

Examples

Here are some examples of operations with integers:

1. Adding two positive integers: 3 + 5 = 8
2. Subtracting a negative integer from a positive integer: 7 - (-4) = 7 + 4 = 11
3. Multiplying a positive and a negative integer: 6 * (-2) = -12
4. Dividing a negative integer by a positive integer: (-10) / 2 = -5

[Integers] Related Worksheets and Study Guides:

• Using IntegersMathematics • Seventh Grade
• Integer operationsMathematics • Eighth Grade
• Polynomials and ExponentsMathematics • Eighth Grade