Inverse Operations Flashcards

Mathematical Concepts

• Equation: A mathematical statement that asserts the equality of two expressions, indicated by the presence of an equals sign.
• Variable: Represents an unknown value in mathematical expressions, commonly denoted by letters such as x or y.

Relationships and Operations

• Equivalent: Terminology used to describe two expressions or quantities that are equal in value.
• Inverse Operation: Pairs of mathematical operations that reverse the effect of each other, facilitating problem-solving by allowing expressions to be transformed back and forth.

Specific Inverse Operations

• Subtraction: Functions as the inverse of addition; if you add a number and then subtract the same number, you return to the original value.
• Addition: Acts as the inverse of subtraction; adding a number to another and then subtracting that same number results in the initial amount.
• Division: Serves as the inverse of multiplication; multiplying a number and then dividing it by the same number returns the original value.
• Multiplication: Functions as the inverse of division; if you divide a number and then multiply by the same number, you return to the starting point.

Mathematical Inequalities

• Inequality: A statement that expresses the relationship between two quantities that are not equal, typically involving symbols that convey comparative values.
• Less than: Symbolized as "<", indicating that one quantity is smaller than another.
• Greater than: Represented by ">", showing that one quantity exceeds another.
• Less than or equal to: Denoted as "≤", indicating that one quantity is either smaller than or equal to another.
• Greater than or equal to: Symbolized as "≥", suggesting that one quantity is either greater than or exactly equal to another.
• Not equal to: Expressed as "≠", signifying two quantities that are not equal.