The four operations are addition, subtraction, multiplication and division in exponentials. Here are their basic definitions and examples:

1.Addition (+): The process of combining two or more numbers into a total.

Example: 5 + 3 = 8

Attributes:

Commutative law: a + b = b + a

Associative law: (a + b) + c = a + (b + c)

2.Subtraction (-): represents the process of removing one number from another.

For example, 5-3 = 2

Subtraction has no commutative or associative law of addition.

3.Multiplication (× or *): indicates the process of repeating addition. Multiplication is the equivalent of adding a number to yourself several times.

Example: 5 x 3 = 15

Attributes:

Commutative law: a × b = b × a

Associative law: (a × b) × c = a × (b × c)

Distribution law: a × (b + c) = a × b + a × c

4.Division (÷ or /): The process of finding that a number can contain another number several times, can be regarded as the inverse of multiplication. 

Example: 15 ÷ 3 = 5 2.

Note: Any number divided by 0 is undefined, that is, 0 cannot be used as a divisor.

The four operations are the basic mathematical operations, which are the basis of all mathematical calculations. In the four operations, but also pay attention to the order of operations, usually follow the following “operation order” rule (the operation in parentheses first, then multiply and divide, and finally add and subtract):

1. Operations in parentheses ()

2. Multiplication and division (left to right)

3. Addition and subtraction (left to right)

This rule is often referred to as a mnemonic phrase such as “PEMDAS”/” BODMAS “/” BEDMAS “,

Brackets, Orders (i.e. powers and square roots, etc.), Division and Multiplication, In Addition and Subtraction).

In teaching, the four operations are very basic but extremely important mathematical concepts.