Within the hierarchy of mathematical operations, expressions enclosed within square brackets are given precedence. This dictates that any calculations contained inside these brackets must be resolved before operations outside of them are performed. For example, in the expression 2 * [3 + 4], the addition within the brackets (3 + 4) is performed first, resulting in 7. This result is then multiplied by 2, yielding a final answer of 14.
The convention of prioritizing bracketed expressions ensures clarity and consistency in mathematical notation. It eliminates ambiguity and allows for complex calculations to be expressed in an unambiguous manner. Historically, the development of a standardized order of operations, including the role of grouping symbols such as brackets, has been crucial for accurate communication and computation across diverse fields like physics, engineering, and computer science.
