Framework Explorer

An Interactive Guide to Foundational Frameworks

Order of Operations

A rule that tells the correct sequence of steps for evaluating a math expression.

The order of operations is a rule that tells the correct sequence of steps for evaluating a math expression. We can remember the order using PEMDAS: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

This framework ensures that everyone gets the same answer when evaluating an expression.

  • Type: Mathematical Framework
  • Core Idea: Consistent Evaluation of Expressions
  • Key Elements: PEMDAS/BODMAS

PEMDAS

The steps for the order of operations.

Parentheses

First, evaluate any expressions inside parentheses or other grouping symbols.

Exponents

Next, evaluate any exponents.

Multiplication and Division

Then, perform any multiplication or division, working from left to right.

Addition and Subtraction

Finally, perform any addition or subtraction, working from left to right.

Implementation & Strategy

Costs, timelines, and strategic considerations for adopting the Order of Operations.

Estimated Project Costs

The Order of Operations is a mathematical rule, so it doesn't have a direct cost. However, there are costs associated with teaching and learning the rule. These costs can range from a few dollars for a textbook to several thousand dollars for a private tutor.

Implementation Strategy

The Order of Operations is a fundamental concept in mathematics, and it is typically taught in elementary school. The best way to learn the Order of Operations is to practice, practice, practice.

Comparisons

How the Order of Operations stacks up against other mathematical concepts.