What is what does it mean to evaluate an expression?

Evaluating an expression means finding its numerical value. This process involves substituting any variables in the expression with their assigned values and then performing all the mathematical operations according to the order of operations (often remembered by the acronym PEMDAS/BODMAS).

Here's a breakdown:

  • Substitution: Replacing variables with their given numerical values.

  • Order of Operations: Following a specific sequence to perform mathematical operations correctly. The standard order is:

    1. Parentheses / Brackets
    2. Exponents / Orders
    3. Multiplication and Division (from left to right)
    4. Addition and Subtraction (from left to right)
  • Arithmetic Operations: Performing the actual calculations, such as <a href="https://www.wikiwhat.page/kavramlar/addition">addition</a>, <a href="https://www.wikiwhat.page/kavramlar/subtraction">subtraction</a>, <a href="https://www.wikiwhat.page/kavramlar/multiplication">multiplication</a>, <a href="https://www.wikiwhat.page/kavramlar/division">division</a>, and exponentiation.

The result of evaluating an expression is a single numerical value. Understanding <a href="https://www.wikiwhat.page/kavramlar/algebraic%20expressions">algebraic expressions</a> is crucial for this process.