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Mathematical Concepts and Operations Study Guide

This guide covers fundamental mathematical concepts crucial for various applications. Learn about number systems, place value, absolute value, Roman numerals, basic arithmetic, and the order of operations (PEMDAS) with clear explanations and examples. Essential for building a strong mathematical foundation.

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Understanding Numbers and Operations

Understanding Whole Numbers, Integers, and Absolute Value

Identify whole numbers, place values, integers, and absolute value while converting between Roman and Arabic numerals.

  • Whole numbers
  • Digits
  • Place value
  • Expanded form
  • Number line
  • Absolute value
  • Roman numerals
  • Arabic numerals
  • Basic operations

Basic Math and Operations

Order of Operations and Basic Math

Instruction on PEMDAS order of operations, basic math symbols, and common calculation mistakes.

  • PEMDAS
  • Order of Operations
  • Parentheses
  • Exponents
  • Multiplication and Division priority
  • Addition and Subtraction priority
  • Basic math symbols
  • Greater than and less than
  • Percent
  • Misaligned place values
  • Regrouping
  • Dividend
  • Divisor
  • Quotient

Clinical Communication, Documentation, and Infection Control

Communication Documentation and Infection Control Concepts

A study table organizing exam concepts including communication, documentation, and asepsis and infection control with related sub-topics.

  • Therapeutic Communication
  • Nonverbal Communication
  • Intra- and Interpersonal Communication
  • Interprofessional Communication
  • Hand-Off/Reporting
  • Physical/Psychological Communication Barriers
  • Basic Rules for Documentation
  • Legal Guidelines for Documentation
  • Confidentiality
  • Incident Reports
  • Chain of Infection
  • Defense Mechanisms Against Infection
  • Healthcare—Associated Infections
  • Hand Hygiene
  • Standard Precautions
  • Isolation Precautions

Clinical Communication and Documentation Mastery

Mastering the flow of patient information through interprofessional hand-offs, legal documentation, and empathetic communication techniques.

  • Interprofessional Hand-off Protocol
  • SBAR Framework
  • I-PASS
  • Clinical Documentation
  • Continuity of Care
  • Active Listening
  • Assertive Communication
  • Open-Ended Questions
  • Closed-Ended Questions
  • Non-Verbal Cues
  • Communication Barriers
  • Patient Safety

Clinical Communication and Documentation Principles

Guidelines for accurate medical documentation, legal principles of charting, and maintaining patient safety through standardized communication.

  • Real-time medical legal documentation
  • Subjective and objective data
  • Medication administration charting
  • Universally recognized abbreviations
  • Correcting written errors
  • Patient confidentiality
  • Incident reporting
  • Therapeutic communication
  • SBAR standardized communication
  • Clinical safety loop

Mathematics

Number Systems and Operations

Explores fundamental number classifications such as whole numbers and integers, alongside essential arithmetic operations including addition, subtraction, multiplication, and division. It also covers place value, absolute value, Roman numerals, and the order of operations (PEMDAS).

  • Whole Numbers
  • Place Value
  • Absolute Value
  • Roman Numerals
  • Addition
  • Subtraction
  • Multiplication
  • Division
  • Order of Operations
  • PEMDAS

Roman and Arabic Numeral Conversion

Roman and Arabic Numeral Conversion

Practice reading and writing Roman numerals and converting between Roman and Arabic numerals using addition and subtraction rules.

  • Roman numerals
  • Arabic numerals
  • Roman to Arabic conversion
  • Arabic to Roman conversion
  • Addition rule for numerals
  • Subtraction rule for numerals

Clinical Judgment, EBP, and Safety Fundamentals

Clinical Judgment, EBP, and Safety

Clinical judgment is the nurse's thinking process used to recognize important information, determine what matters most, choose an action, and evaluate the patient's response.

  • Clinical judgment
  • Evidence-Based Practice (EBP)
  • Safety
  • Correct identification
  • Fall prevention
  • Infection prevention
  • Medication safety
  • Hazard reporting

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