3.3 Order of Operations — The Hidden Grammar Behind Every Calculation | Contemporary Mathematics
After this lesson you will be able to…
- Understand how mathematical rules prevent chaos and ensure consistent results.
- Learn how a strict order of operations provides essential syntax for mathematical expressions.
- Grasp the foundational MDAS (Exponents, Multiplication/Division, Addition/Subtraction) rule for calculations.
- Clarify that multiplication/division and addition/subtraction have equal precedence, executed left-to-right.
- Learn how parentheses (P in PEMDAS) explicitly change the default order of operations.
- Understand the method for solving equations with multiple layers of parentheses by working from the inside out.
- Recognize the order of operations as a vital, universal syntax ensuring consistent mathematical results globally.
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(0)Why does the expression 4 × 2² + 3 + 5² equal 44 — and not 80, 96, or even 5,184? This lesson from Section 3.3 of OpenStax Contemporary Mathematics re...
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Quiz: Order of Operations and PEMDAS
FundamentalsAnswer each question based only on what was presented in the video lesson. No outside knowledge is needed — every answer can be found in the video.
Practice: Order of Operations (PEMDAS)
PracticeApply the order of operations (PEMDAS) to evaluate expressions correctly. Show all work step by step; problems increase in difficulty.