Definition

Noun: 1. A mathematical calculation performed on numbers: An "arithmetic operation" is a fundamental procedure in mathematics that combines numbers (called operands) to produce a new number (the result). The most basic operations are addition, subtraction, multiplication, and division.

Usage

The term "arithmetic operation" is used to describe the act of calculating with numbers. It is a formal term common in mathematics, computer science, and general academic contexts. - It specifies the type of calculation being performed. - It is often used when discussing the order or rules of calculations (e.g., order of operations). - In computing, it refers to calculations performed by a processor.

Examples

• Basic Example:
  • The most elementary arithmetic operations are addition and subtraction.
  • Before solving the algebra problem, perform the arithmetic operations inside the parentheses first.
• Technical/Computing Example:
  • The central processing unit (CPU) is responsible for executing arithmetic operations like multiplication and division.
  • A calculator is a device designed to carry out arithmetic operations.

Advanced Usage

• "Binary arithmetic operation": An operation that requires exactly two operands (e.g., 5 + 3, where 5 and 3 are the operands).
  • Addition is a binary arithmetic operation.
• "Arithmetic operation precedence": Refers to the rules that dictate the order in which operations in an expression are evaluated (often remembered by PEMDAS/BODMAS).
  • Understanding arithmetic operation precedence is crucial for solving equations correctly.

Variants and Related Words

• Arithmetic (noun): The branch of mathematics dealing with the properties and manipulation of numbers.
  • She is very good at arithmetic.
• Operand (noun): A number or quantity on which an arithmetic operation is performed.
  • In the expression 7 - 2, the numbers 7 and 2 are the operands.
• Operator (noun): The symbol (like +, -, ×, ÷) that denotes the specific arithmetic operation to be performed.
  • The plus sign is the operator for addition.

Synonyms

• Mathematical operation: A broader term that includes arithmetic as well as more advanced operations (e.g., calculus).
• Calculation: The process of performing an arithmetic operation.
• Computation: A synonym often used in technical and computing contexts.

Related Phrases

• "Perform an arithmetic operation": To carry out a calculation.
  • The student was asked to perform an arithmetic operation on the two given numbers.
• "Result of an arithmetic operation": The answer or output produced by the calculation.
  • The result of the arithmetic operation was 42.

Noun

1. a mathematical operation involving numbers