About This Chapter
Numbers & Operations- Chapter Summary
In this chapter, you will review important information about numbers and operations. Our expert instructors will guide you through your exploration of the engaging, fun and informative lessons. These lessons will cover material such as:
- Significance of place value
- Examples of numerical expression
- Operations with integers
- Ways to divide fractions and mixed numbers
- Breaking down numbers through prime factorization
- Greatest common factors and least common multiples
- How to find the absolute value
- Switching between decimals and fractions
- Performing basic math with decimals
- Importance of the order of operations
- Use of algorithms
Our lessons were made to be available at home on your computer or on-the-go when you utilize your mobile device. This gives you the flexibility to study in a way that is convenient for you and your schedule. After you complete each lesson, take the lesson quizzes. These quizzes will measure your level of understanding of the material that is presented to you.
1. What is Place Value? - Definition & Examples
Every digit in a number has a place value. In this lesson, through definition and example, we will learn what a place value is and how to find the place value of a specific digit. At the end of the lesson, you can continue practicing with a quiz.
2. How to Write a Numerical Expression? - Definition & Examples
In this lesson, you will be given the definition of a numerical expression and learn how to write one. You will be provided with plenty of examples to clearly illustrate this important mathematical concept.
3. Arithmetic Calculations with Signed Numbers
Signed numbers are often referred to as integers. Integers include both positive and negative numbers. In this lesson, you will learn how to add, subtract, multiply, and divide integers.
4. Dividing Fractions and Mixed Numbers
Dividing fractions and mixed numbers? It sounds daunting, but it's not as tricky as it sounds. In this lesson, we'll learn how to divide fractions and mixed numbers.
5. How to Find the Prime Factorization of a Number
The prime factorization of a number involves breaking that number down to its smallest parts. This lesson will show you two different ways to discover the prime factorization of any number.
6. How to Find the Greatest Common Factor
If the factors of a number are the different numbers that you can multiply together to get that original number, then the greatest common factor of two numbers is just the biggest one that both have in common. See some examples of what I'm talking about here!
7. How to Find the Least Common Multiple
The least common multiple of two numbers is the smallest number that can be divided evenly by your two original numbers. See some examples of what I'm talking about here!
8. What is an Absolute Value?
When we're talking and comparing numbers, we often don't care whether its positive or negative, just how big it is. This is often called the magnitude of a number and we find it by taking the absolute value. Learn all about it here!
9. Changing Between Decimals and Fractions
In this video lesson, you will learn about the usefulness of knowing how to change quickly between decimals and fractions. You will also learn how changing from a decimal to a fraction is different than changing from a fraction to a decimal.
10. Arithmetic with Decimal Numbers
Watch this video lesson and see how our little professor goes about adding, subtracting, multiplying, and dividing decimal numbers all without the use of a calculator!
11. What Is The Order of Operations in Math? - Definition & Examples
The order of operations is the steps used to simplify any mathematical expression. In this video, learn how to solve problems using these steps and easy tricks to remember them.
12. What is an Algorithm? - Definition & Examples
Algorithms are everywhere. Computers use them, your friends use them, even you use them. Learn more about what algorithms are, as well as create some algorithms of your own.
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Other chapters within the NYSTCE CST Multi-Subject - Teachers of Middle Childhood (231/232/245): Practice & Study Guide course
- Language & Literacy Development
- Foundations of Teaching English Language Arts
- Strategies for Vocabulary Instruction
- Language Knowledge & Vocabulary
- Teaching Text Complexity & Comprehension
- Literary Devices & Meaning
- Evaluating Informational Texts
- Writing & Research Instruction
- Promoting Literacy Through Listening
- Language Arts Assessments in Early Childhood
- Rational & Real Number Systems
- Ratios & Proportional Number Relationships
- Algebra Foundations
- Algebra Functions & Graphs
- Geometry & Measurement
- Solving Geometry Problems
- Data, Statistics & Graphs
- Math Instruction & Assessment
- Scientific Inquiry & Investigation
- Physical Science Basics
- Scientific Concepts for the Living Environment
- Science Modeling & Technology
- Major U.S. Historical Eras
- Role of New York in Shaping the U.S.
- Geography, Population & Climate
- Human Population Distribution Patterns
- Relationship Between Economics, Government & Politics
- Rights & Responsibilities of Citizenship in the U.S.
- Social Studies Research Skills
- Visual Arts Techniques
- Musical Arts Basics
- Performing Arts Overview
- Health, Safety & Community Awareness
- Physical Development & Activities in Early Childhood
- Childhood Development
- Consumer Economics & Personal Resource Management
- Career Development Resources
- NYSTCE CST Multi-Subject - Teachers of Middle Childhood Flashcards