Order of Operations Arithmetic Expression Step by Step Solution

Published on September 2, 2026

Pre-Algebra

Learn how to simplify complex numerical expressions step by step by applying the correct order of operations including parentheses, division, multiplication, addition, and subtraction.

Question

Answer

To solve these problems, we follow the order of operations (PEMDAS/BODMAS): Parentheses, Exponents, Multiplication and Division (left to right), and Addition and Subtraction (left to right).
(a)
  1. Perform division and multiplication from left to right:

  2. Perform addition and subtraction from left to right:

(b)
  1. Solve inside the first parenthesis (division first):

  2. Perform multiplication and division from left to right:

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  1. Solve inside the parentheses:

  2. Perform division and multiplication from left to right:

(d)
  1. Solve inside the parentheses:
  2. Perform multiplication and division from left to right:

  3. Final subtraction: