Before stating the properties of operations, it is worth fixing a name for the “ingredients” of a sum.

Definition — Terms

The terms of a sum are the elements (single numbers or groups joined by brackets or by operations with precedence) that make up an algebraic sum.

Example

In the expression 3+(2+5)+343 + (2+5) + 3\cdot 4 there are three terms:

  1. 33
  2. (2+5)(2+5)
  3. 343\cdot 4

Recognising the terms is the first step towards correctly applying the commutative and associative properties.

Topics: Numbers and operations
Concepts: Numerical expression · Term