Understanding Integers: Properties and Mathematical Operations

integers

Integers are numbers that can be positive, negative, or zero

Integers are numbers that can be positive, negative, or zero. They belong to the set of whole numbers and are denoted by the symbol “Z”.

Integers can be represented on a number line, where positive integers are to the right of zero and negative integers are to the left. The number zero is considered neither positive nor negative.

The set of integers includes numbers such as -3, -2, -1, 0, 1, 2, 3, and so on. These numbers can be used for various mathematical operations such as addition, subtraction, multiplication, and division.

For addition of integers:
– When adding two positive integers, you simply add the numbers together. For example, 2 + 3 = 5.
– When adding two negative integers, you add the numbers together and include a negative sign. For example, (-2) + (-3) = -5.
– When adding a positive and a negative integer, you need to subtract the smaller number from the larger one and use the sign of the larger number. For example, 2 + (-3) = -1.

For subtraction of integers:
– Subtraction of integers can be thought of as adding the opposite. For example, 2 – 3 can be rewritten as 2 + (-3), which is equal to -1.

For multiplication of integers:
– When multiplying two integers with the same signs (both positive or both negative), the product is positive. For example, 2 x 3 = 6.
– When multiplying two integers with different signs (one positive and one negative), the product is negative. For example, (-2) x 3 = -6.

For division of integers:
– Division of integers can sometimes result in a non-integer or a fraction. If both numbers being divided are integers and the division does not result in a whole number, the result can be represented as a fraction or a decimal. For example, 10 ÷ 3 = 3.33 or 10/3.

These are just some basic operations involving integers. Integers also have properties such as the associative property, commutative property, and distributive property, which can be applied in various mathematical situations. If you have any specific questions or concepts related to integers, please let me know and I will be glad to assist you further.

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