# Ch 1: MTEL Middle School Math/Science: Number Structure

### About This Chapter

## MTEL Middle School Math/Science: Number Structure - Chapter Summary

As part of a study guide course for the Massachusetts Tests for Educator Licensure (MTEL) Mathematics/Science (Middle School) exam, these short, engaging and mobile-device friendly lesson videos outline different number systems and arithmetic operations. These lessons are taught by our expert instructors who are available to answer any questions you may have about these topics so that you can master material about:

- Whole number place values
- Addition, subtraction, multiplication and division with whole numbers
- The base-ten system and other number systems
- Differences between prime and composite numbers
- Uses for number lines
- Factoring and prime factorization of numbers
- Divisibility rules
- Roman numerals and other ancient number systems

Study these lessons at a fast pace or a leisurely one, depending on your current schedule. You can use the pause and skip features of the videos to focus on the topics you want to learn more about. Corresponding transcripts provide another way of studying, and they include bold terms that you'll need to know. The lessons are followed up by short quizzes.

### MTEL Middle School Math/Science: Number Structure Chapter Objectives

The purpose of the MTEL Mathematics/Science (Middle School) is to ensure that future middle-grades math and science teachers have the mathematics and science knowledge required to teach their future students. When you take this computer-based certification exam, you will be asked to complete 100 multiple-choice questions and two open-response assignments within about four hours. Eight percent of your score for this exam will be determined based upon your knowledge of number sense and operations. Improve your understanding of these topics by watching the lessons of this chapter and reviewing the different numeric structures, systems and operations.

### 1. Finding Place Values in Whole Numbers

After watching this video lesson, you will be able to find the location of any place value that you are given. You will also be able to identify them in any whole number.

### 2. Arithmetic with Whole Numbers

There are four basic mathematical operations: addition, subtraction, multiplication, and division. These four operations are used in a wide range of everyday skills and are the fundamental blocks of arithmetic.

### 3. Number Systems and The Base-Ten System

Ever think that a computer doesn't get what you want it to do? Don't be surprised; it is living in a world where it can only count to 1. This lesson explains number systems, including our base-ten system and a computer's base-two system.

### 4. Identifying Prime & Composite Numbers

In this video lesson, you will learn how to identify both prime and composite numbers. You will also learn what makes the numbers unique, as well as the characteristics of both these types of numbers.

### 5. What Is a Number Line?

A number line is a visual representation of all real numbers. In this lesson, we'll learn how to identify points on a number line. We'll also practice addition and subtraction, letting the number line do all the hard work.

### 6. Finding Factors of Whole Numbers

After watching this video lesson, you will be able to factor any whole number that you are given. You will learn what factors are and how a whole number can have several different factors.

### 7. 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.

### 8. Divisibility by 2, 3, and 4

In this video lesson, you will learn what it means to be divisible. Also, you'll see what numbers are divisible by 2, 3, and 4. You will also learn how you can check if something is divisible by these numbers.

### 9. Divisibility by 5, 6, and 7

In this video lesson, we will see what numbers can be divided equally by 5, 6, and 7. Learn the pattern that you can use to find other numbers divisible by 5, 6 and 7. Learn how you can visualize divisibility.

### 10. Divisibility by 8, 9, and 10

In this video lesson, we will see what numbers are divisible by 8, 9, and 10. You will learn how you can figure out these numbers yourself. Learn what it means to be divisible.

### 11. Roman Numerals 1-20

After watching this video lesson, you will be able to identify and write the numbers 1-20 using Roman numerals. You will learn how a Roman numeral is different from the numbers we are familiar with, and you will learn the rules of Roman numerals.

### 12. Basics of Ancient Number Systems

From simple tally marks on a stick to complex written number systems that could be used to perform many types of calculations, people in the ancient world developed and used a wide variety of number systems. In this lesson, learn about how ancient number systems were developed and used.

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### Other Chapters

Other chapters within the MTEL Mathematics/Science (Middle School)(51): Practice & Study Guide course

- MTEL Middle School Math/Science: Absolute Value
- MTEL Middle School Math/Science: Numerical & Algebraic Properties
- MTEL Middle School Math/Science: Properties of Equality & Inequality
- MTEL Middle School Math/Science: Mathematical Operations
- MTEL Middle School Math/Science: Introduction to Fractions
- MTEL Middle School Math/Science: Operations with Fractions
- MTEL Middle School Math/Science: Decimals & Decimal Operations
- MTEL Middle School Math/Science: Percents
- MTEL Middle School Math/Science: Ratios, Proportions & Rate of Change
- MTEL Middle School Math/Science: Estimation in Math
- MTEL Middle School Math/Science: Real Numbers
- MTEL Middle School Math/Science: Exponents
- MTEL Middle School Math/Science: Roots & Powers
- MTEL Middle School Math/Science: Algebra Basics
- MTEL Middle School Math/Science: Principles of Algebra
- MTEL Middle School Math/Science: Functions
- MTEL Middle School Math/Science: Linear Equations
- MTEL Middle School Math/Science: Polynomials
- MTEL Middle School Math/Science: Quadratic Equations
- MTEL Middle School Math/Science: Vectors in Linear Algebra
- MTEL Middle School Math/Science: Matrices in Linear Algebra
- MTEL Middle School Math/Science: Sequences & Series
- MTEL Middle School Math/Science: Measurement
- MTEL Middle School Math/Science: History of Geometry
- MTEL Middle School Math/Science: Geometric Properties & Theorems
- MTEL Middle School Math/Science: Principles of Geometry
- MTEL Middle School Math/Science: Algebraic Applications in Geometry
- MTEL Middle School Math/Science: Area, Perimeter & Volume
- MTEL Middle School Math/Science: Using Trigonometric Functions
- MTEL Middle School Math/Science: Trigonometric Graphs
- MTEL Middle School Math/Science: Solving Trigonometric Equations
- MTEL Middle School Math/Science: Trigonometric Identities
- MTEL Middle School Math/Science: Trigonometric Applications
- MTEL Middle School Math/Science: Types of Data
- MTEL Middle School Math/Science: Probability & Statistics
- MTEL Middle School Math/Science: Conditional & Independent Probability
- MTEL Middle School Math/Science: Probability & Statistics Calculations
- MTEL Middle School Math/Science: Basics of Logic
- MTEL Middle School Math/Science: Foundations of Science
- MTEL Middle School Math/Science: Scientific Research
- MTEL Middle School Math/Science: The Scientific Method
- MTEL Middle School Math/Science: Data Collection
- MTEL Middle School Math/Science: Analyzing Scientific Data
- MTEL Middle School Math/Science: Laboratory Procedures & Safety
- MTEL Middle School Math/Science: Experimental Chemistry
- MTEL Middle School Math/Science: Matter
- MTEL Middle School Math/Science: Inorganic Chemistry
- MTEL Middle School Math/Science: Measurement & Problem Solving
- MTEL Middle School Math/Science: Atomic Structure
- MTEL Middle School Math/Science: The Periodic Table
- MTEL Middle School Math/Science: Chemical Bonding
- MTEL Middle School Math/Science: Phase Changes for Liquids & Solids
- MTEL Middle School Math/Science: Solutions in Chemistry
- MTEL Middle School Math/Science: Stoichiometry & Chemical Equations
- MTEL Middle School Math/Science: Acids, Bases & Reactions
- MTEL Middle School Math/Science: Equilibrium
- MTEL Middle School Math/Science: Chemical Kinetics
- MTEL Middle School Math/Science: Thermodynamics in Chemistry
- MTEL Middle School Math/Science: Newton's First Law of Motion
- MTEL Middle School Math/Science: Newton's Second Law of Motion
- MTEL Middle School Math/Science: Newton's Third Law of Motion
- MTEL Middle School Math/Science: Force & Motion
- MTEL Middle School Math/Science: Wave Behavior
- MTEL Middle School Math/Science: Waves, Sound & Light
- MTEL Middle School Math/Science: Energy
- MTEL Middle School Math/Science: Electricity
- MTEL Middle School Math/Science: Magnetism & Electromagnetism
- MTEL Middle School Math/Science: Cells & Living Things
- MTEL Middle School Math/Science: Cell Division
- MTEL Middle School Math/Science: Genetics & Heredity
- MTEL Middle School Math/Science: DNA
- MTEL Middle School Math/Science: Genetic Mutations
- MTEL Middle School Math/Science: Origin & History of the Earth
- MTEL Middle School Math/Science: Ecosystems
- MTEL Middle School Math/Science: Evolving Ecosystems
- MTEL Middle School Math/Science: Rocks, Minerals & Soil
- MTEL Middle School Math/Science: Forces that Change the Earth's Surface
- MTEL Middle School Math/Science: Earth's Hydrosphere
- MTEL Middle School Math/Science: Structure of the Earth's Atmosphere
- MTEL Middle School Math/Science: Earth's Atmosphere, Weather & Climate
- MTEL Middle School Math/Science: Solar System
- MTEL Middle School Math/Science: Characteristics of the Universe
- MTEL Mathematics/Science (Middle School) Flashcards