Intergers
Integers are a set of numbers that include both positive and negative whole numbers, as well as zero
Integers are a set of numbers that include both positive and negative whole numbers, as well as zero. They do not include fractions or decimals. The set of integers can be represented as {…, -3, -2, -1, 0, 1, 2, 3, …}.
Integers can be used to represent quantities such as the number of objects (e.g. -2 apples), temperatures (e.g. -5 degrees Celsius), or positions on a number line (e.g. +3 and -3 units from the origin).
There are several operations that can be performed with integers:
1. Addition: When adding integers, you can follow the rules:
– Adding two positive integers will result in a positive sum (e.g. 2 + 3 = 5).
– Adding two negative integers will result in a negative sum (e.g. -2 + (-3) = -5).
– Adding a positive integer and a negative integer is equivalent to subtracting their absolute values (e.g. 2 + (-3) = -1).
2. Subtraction: Subtraction of integers can be performed by adding the opposite. For example, to subtract 3 from 5, we can add -3 to 5, giving us 5 + (-3) = 2.
3. Multiplication: The product of two integers will follow these rules:
– Multiplying two integers with the same sign (both positive or both negative) will result in a positive product (e.g. 2 × 3 = 6).
– Multiplying two integers with different signs will result in a negative product (e.g. -2 × 3 = -6).
4. Division: Dividing integers can sometimes result in a fraction or decimal. However, if the division results in a whole number, it remains an integer. For example, 6 ÷ 3 = 2 is an integer, but 5 ÷ 3 = 1.666 is not.
It is important to note that when performing operations with integers, the order of operations (e.g. parentheses, exponents, multiplication, division, addition, subtraction) still applies.
Integers play a fundamental role in mathematics and are used in various mathematical concepts and applications, such as algebra, number theory, and geometry.
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