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Master Integer Multiplication: Concepts, Methods & Practice

Pre-Algebra: Master Core Concepts & Skills

Integers

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Understand integer multiplication

Multiplying 1-digit Integers

Multiplying 1-digit integers Mixed Sign

Multiplying integers

Multiplying 2-Digit Integers

Multiplying 1 and 2 Digit Integers

Understanding integer division

Dividing by 1-Digit Integers

Dividing by 1-Digit Integers Mixed Sign

Dividing integers

Dividing by 2-Digit Integers

Dividing by 2-Digit Integers Mixed Sign

Applications of integer operations

Multiple Integer Operations

Three Step Integer Operations Combined Multiply Divid

Three Step Integer Operations Divide Add Or Minus Multiply

Three Step Integer Operations Divide Add Or Minus

Three Step Integer Operations Multiply Add Minus Divide

Three Step Integer Operations Multiply Add Or Minus

Factors and multiples

Prime factorization

Number properties: Prime or Composite

Number properties: Prime?

Prime factors – Word Problem

Greatest common factors (GCF)

Greatest Common Factor 2 Numbers

Greatest Common Factor 2 Numbers – Word Problem

Least common multiple (LCM)

Lowest Common Multiple - 2 Numbers – Word Problem

Lowest Common Multiple 2 Numbers

Decimals

Solving problems with rational numbers in decimal form

Mixed Operations with Decimals

Mixed Operations

Mixed Operations with Decimals Bracket

Mixed Operations with Bracket Square

Representing percents

Representing Percents

Representing Percents — Word Problem

Representing Percents Two Graphs – Word Problem

Percent of a number

Percent of a Number

percent of a number – Word Problem

Percent of a Number  Fraction Percent

Percent of a Number Integer Percent 

Percent of a number number With Decimal Percent 

Percent of a Number  Three Digits Number Percent

Adding and multiplying percents

Add and Multiply Percents — Word Problem

Add and Multiply Percents – Word Problem

Fractions

Solving problems with rational numbers in fraction form

Operations with fractions

Multiplying fractions and whole numbers

Multiply a fraction with a whole number

Multiplying Fractions — with whole numbers — 1 digit

Multiplying Fractions — with whole numbers — 2 digits

Dividing fractions with whole numbers

Divide a fraction by a whole number

Divide a Fraction by a Whole Number

Divide a Fraction by a Whole Number Number RHS

Multiplying proper fractions

Multiply Proper Fractions — 1 Digit Fractions

Multiplying improper fractions and mixed numbers

Multiply Mixed Numbers

Dividing fractions and mixed numbers

Divide Fractions and Mixed Numbers – Word Problem

Dividing Mixed numbers

Dividing Mixed Numbers

Applications of fraction operations

Fraction Operations

Understanding the number systems

Converting repeating decimals to fractions

Ratios, rates, and proportions

Ratios

Ratios - Find The Missing Value LHS

Ratios - Find The Missing Value RHS

Equivalent Ratios

Rates

Find the Biggest Rate 

Find the Unit Price 

Unit Rate Fill in Box

Find the Quickest Rate 

Unit Rate

Proportions

Proportions — Missing Denominator

Proportions — Missing Numerator

Proportions - Find the Missing Denominator LHS

Proportions - Find the Missing Denominator RHS

Proportions - Find the Missing Numerator LHS

Proportions - Find the Missing Numerator RHS

Measuring Systems

Conversions between metric and imperial systems

Metric to Imperial Conversions

Imperial to Metric Conversions

Conversions Between Metric and Imperial Systems Speed KM to MI

Conversions Between Metric and Imperial Systems Speed  MI to M

Metric-Imperial Length Conversion Inch To Cm

Metric-Imperial Length Conversion MM/CM/M/KM To FT

Metric-Imperial Length Conversion MM/CM/M/KM To MI

Metric systems

Add and Subtract Mixed Units

Metric Length Conversion

Add or Subtract Different Metric Units Convert to CM

Add or Subtract Different Metric Units Convert to M

Add or Subtract Different Metric Units Convert to MM

Imperial systems

Imperial Length Conversion

Conversions involve squares and cubic

Imperial to Metric Conversions — Squares and Cubes

Imperial Conversion — Squares and Cubes

Metric to Imperial Conversion — Squares and Cubes

Conversions involving squares and cubic

Metric Area Conversion FT to CM

Metric Area Conversion Foot to Inch

Metric Area Conversion M/CM to Inch

Radicals

Square and square roots

Square Root of a Perfect Square

Cubic and cube roots

Cube root of a perfect cube

Converting radicals to mixed radicals

Converting radicals to entire radicals

Exponents and Scientific Notation

Using exponents to describe numbers

Expanded powers

Exponent rules

Single Power Expressions

Dividing powers

Multiplying powers

Order of operations with exponents

Scientific notation

Pythagorean Theorem

Squares and square roots

Pythagorean theorem

Estimating square roots

Using the pythagorean relationship

Applications of pythagorean theorem

Surface Area of 3-Dimensional Shapes

Introduction to surface area of 3-dimensional shapes

Nets of 3-dimensional shapes

Surface area of prisms

Surface Area of Prisms Rectangle

Calculate the Surface Area

Surface area of cylinders

Volume of 3-Dimensional Shapes

Introduction to volume

Calculate the Volume

Volume of prisms

Find the volume

Volume of Prisms Calculate Area and Volume

Rectangular Prisms Table

Volume of Prisms — Word Problem

Volume of cylinders

Word problems relating volume of prisms and cylinders

Applying mathematical reasoning

Representing patterns in linear relations

Represent Patterns in Linear Relations Equation Decimal

Represent Patterns in Linear Relations Equation Integer Start From 0

Represent Patterns in Linear Relations Equation Integer Start From 1

Represent Patterns in Linear Relations Equation Negative Decimal

Identify the Linear Equation

Reading linear relation graphs

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Pre-Algebra

math

<h2>What is Pre-Algebra?</h2>
Pre-algebra is the course of study that introduces you to the following number types:
<ul type="disc">
<li>Integers</li>
<li>Decimals</li>
<li>Negative Numbers</li>
<li>Fractions</li>
</ul>
It also explores the basics of equations, simple roots and powers, variable manipulation and more.
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<h2>What Grade Is Pre-Algebra Taught?</h2>
Pre-algebra tends to be taught to students in grade 7 or 8. As mentioned above, the course is often used as an introduction to Algebra 1 or Basic Algebra, covering topics that will be built upon in grades 9, 10 and 11.
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<h2>What Is in Pre-Algebra?</h2>
Within Pre-algebra, there are many topics of study. Below, we have listed just a few topics that you can expect to cover in class and in your exams:
<ul type="disc">
<li>Pythagorean Theorem</li>
<li>Square Roots</li>
<li>Surface Area and Volume of 3D Shapes</li>
<li>Linear Equations and Mathematical Reasoning</li>
<li>Probability</li>
<li>Symmetry and Tessellation</li>
<li>Representing Data</li>
</ul>
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<h2>Is Pre-Algebra Hard?</h2>
Algebra can seem intimidating at first, which is why it&apos;s necessary to develop a firm understand of the basics. To help you learn pre-algebra, StudyPug has built an extensive pre-algebra tutorial library that covers practically every question you would expect to have.
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With 1000s of lessons to observe, pre-algebra practice exams to try, and access to 24/7 help and guidance, StudyPug will make understanding pre-algebra a breeze!

<h2>What Comes After Pre-Algebra?</h2>
Upon successfully completing a course in pre-algebra, most students go on to study <a href='[[region_textbook.html|{"textbook_key":"basic-algebra"}]]'>Basic algebra</a> or <a href='[[region_textbook.html|{"textbook_key":"algebra-1"}]]'>Algebra 1</a>. The content covered throughout pre-algebra serves as a stepping stone towards understanding algebra as a whole and will help you to develop your critical thinking and problem solving abilities outside of the classroom too.
For students looking to attend college upon graduating from high school, you&apos;ll find that math is a prerequisite for most colleges and this will include an understanding of basic math and the core concepts of algebra.
Take advantage of the resources at your disposal and make the most out of the time that you have. Setting aside an hour or two each evening to watch our video tutorials will make the world of difference when it comes time to take your exams. You;ll be better prepared for your classes, your tests, and your college applications.

<h2>How to Pass Pre-Algebra?</h2>
The key to passing Pre-algebra is in preparation and revision. You should make the most of our study tools and address any areas of weakness you think you may have. A good way to highlight these areas of improvement is to look at your past exams and circle the questions you&apos;ve struggled with.
Using that information alongside our vast collection of resources, you can broaden and strengthen your core understanding of pre-algebra.
Our team of experts have worked to ensure that the content we provide matches the topics found in modern per-algebra textbooks. For example, you&apos;ll find that our website covers all the content found in the following textbooks:
<ul type="disc">
<li><a href="https://openstax.org/details/books/prealgebra#resources">Prealgebra by OpenStax</a></li>
<li><a href="https://www.pearson.com/us/higher-education/program/Lial-Prealgebra-6th-Edition/PGM1838570.html">Pearson Pre-Algebra</a></li>
<li><a href="https://www.mheducation.com/prek-12/program/MKTSP-GBS19M0.html">Glencoe Pre-Algebra</a></li>
</ul>
We&apos;ve noticed that the language within these textbooks can sometimes be hard to digest and understand. That&apos;s why our team of mathematic tutors have broken down the key talking points of these textbooks and have expertly delivered them in an easy to understand video format that you can pause, fast-forward, and rewind.
By offering you an unprecedented level of video content to review, we&apos;re able to provide you with relevant study content that can support your current studies and prepare you for upcoming exams. Sign up and get started today!

https://dmn92m25mtw4z.cloudfront.net/img/textbook/textbook-prealgebra.png

Understanding Integer Multiplication: From Basics to Mastery

What You'll Learn

Identify the sign rules for multiplying positive and negative integers

Apply the concept of multiplication as repeated addition to solve integer problems

Use integer chips and zero pairs to visualize multiplication of signed numbers

Recognize that same signs multiply to positive and different signs multiply to negative

Solve multiplication problems involving both positive and negative integers

What You'll Practice

Interpreting diagrams with arrows and colored circles to represent integer multiplication

Multiplying integers algebraically using sign rules

Using integer chips and zero pairs to model multiplication

Solving word problems involving repeated addition and integer multiplication

Why This Matters

Before You Start — Make Sure You Can:

This Unit Includes

12 Video lessons

Practice exercises

Learning resources

Skills

Integer Multiplication

Sign Rules

Negative Numbers

Zero Pairs

Integer Chips

Repeated Addition

Visual Models