What is arithmetic?

What are the essential operations of arithmetic?

The four basic operations of arithmetic are as follows:

Addition (or Sum)

Addition is a basic arithmetic operationstrong> that consists of combining two or more numbers to obtain a result. Some definitions to consider regarding addition are the following:

• Addends: The addends are the numbers that are combined in addition. For example, in the sum 5 + 7 = 12, the addends are 5 and 7.
• Total: The result of the operation is also known as the "sum" or "total." In the operation 5 + 7 = 12, "12" is the total.
• Commutative Property: Addition is commutative, which means that the order of the addends does not affect the result. For example, the sums 5 + 7 and 7 + 5 have the same result (12).
• Associative Property: Addition is associative, which means that in a sum of more than two addends, the result is independent of how the addends are grouped. For example, the sum (5 + 7) + 4 has the same result as 5 + (7 + 4).

The basic arithmetic operation opposite to addition is subtraction.

Subtraction

Subtraction is a basic arithmetic operation used to find the difference between two numbers. It is the opposite of addition. Some definitions to consider regarding subtraction are as follows:

• Minuend and Subtrahend: In a subtraction operation, the number you are subtracting from is called the "minuend," and the number you are subtracting from is called the "subtrahend." For example, in the subtraction 7 - 5 = 2, 7 would be the minuend and 5 the subtrahend.
• Difference: The result of the operation is known as the "difference." In the operation 7 - 5 = 2, "2" is the difference.
• Not commutative: Unlike addition, subtraction is not commutative, which means that if you interchange the subtrahend and minuend, the difference will be different.

Multiplication

Multiplication is another basic arithmetic operation used to combine numbers and find their product. Put another way, multiplication is a repeated form of addition. Some definitions to consider regarding multiplication are as follows:

• Factors: In a multiplication operation, the numbers being combined are called "factors." The operation is usually represented as "factor × factor = product." For example, in the equation 3 × 4 = 12, "3" and "4" are the factors and "12" is the product.
• Result: The result of a multiplication operation is called the "product." In the example above, "12" is the product.
• Commutative Property: Multiplication is commutative, which means that the order in which the numbers are multiplied does not affect the result. For example, 3 × 4 is the same as 4 × 3, and in both cases, the result is 12.
• Associative Property: Multiplication is associative, which means that when you multiply three or more numbers, the result is the same regardless of how the numbers are grouped. For example, (2 × 3) × 4 is the same as 2 × (3 × 4), and in both cases, the result is 24.

The inverse operation of multiplication is division.

Division

Division is another basic arithmetic operation used to divide a quantity into equal parts or to find how many times one number can be divided by another. Some definitions to consider regarding division are the following.

• Dividend and Divisor: In a division operation, the number being divided is called the "dividend," and the number by which it is divided is called the "divisor." The operation is generally represented as "dividend ÷ divisor = quotient." For example, in the equation 12 ÷ 3 = 4, "12" is the dividend, "3" is the divisor, and "4" is the quotient.
• Result: The result of a division operation is called the "quotient." In the example above, "4" is the quotient.
• Exact Division and Remainder: When the dividend is divided exactly by the divisor, the quotient is a whole number. However, in some cases, the dividend is not completely divisible by the divisor, and a remainder is obtained. For example, 10 ÷ 3 is equal to 3 with a remainder of 1.