Mathematically: meaning, definitions and examples

Used when referring to anything related to mathematics as a whole, including abstract concepts and broad calculations.

• The problem can be solved mathematically.
• She explained the theory mathematically.

Used when specifically referring to numbers and their properties, often in the context of data and counts.

• The data was analyzed numerically.
• The results were expressed numerically.

Used when specifically relating to basic calculations involving numbers, like addition, subtraction, multiplication, and division.

• The solution can be determined arithmetically.
• He solved the problem arithmetically.

Used when discussing shapes, sizes, and the properties of space. This term is related to geometry.

• The pattern was designed geometrically.
• They solved the problem geometrically.

Used when discussing the theoretical or abstract aspects of mathematics, typically in a broad sense.

• The phenomenon can be explained mathematically.
• Mathematically, the equation doesn’t add up.

Used when discussing numbers, numerical values, or methods related to calculating numbers, often as opposed to theoretical aspects.

• The numerical data was entered into the spreadsheet.
• A numerical approach was taken to solve the problem.

Relevant in situations specifically dealing with algebra, such as equations, expressions, and functions.

• She solved the algebraic equation effortlessly.
• Algebraic problems require a clear understanding of variables.

Commonly used in the context of using algorithms, computers, and numerical methods to solve mathematical problems.

• The computational analysis took several hours on the computer.
• He specializes in computational mathematics.