Prealgebra: Basic Operations on Integers
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Prealgebra: Basic Operations on Integers

Learn the Four Basic Operations, Additions, Subtraction, Multiplication and Division on Integers With Models
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0.0 (0 ratings)
Instead of using a simple lifetime average, Udemy calculates a course's star rating by considering a number of different factors such as the number of ratings, the age of ratings, and the likelihood of fraudulent ratings.
1 student enrolled
Created by Great IT Courses
Last updated 8/2017
English
Current price: $10 Original price: $55 Discount: 82% off
5 hours left at this price!
30-Day Money-Back Guarantee
Includes:
  • 3.5 hours on-demand video
  • 3 Articles
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
What Will I Learn?
  • understand the four main mathematical operations (addition, subtraction, multiplication and division) on Integers
  • understand the meaning of those operations (behind the scenes) using mathematical models
View Curriculum
Requirements
  • This course needs no prerequisites.
Description

In this course, you'll learn, 

  • Integers and Absolute Value
  • Modeling Addition and Subtraction of Integers
  • Multiplying Integers
  • Dividing Integers
  • The Addition Property of Equality
  • The Subtraction Property of Equality
  • The Division Property of Equality
  • Simplifying Expressions with Integers
  • Evaluating Variable Expressions With Integers

This course is part of a course series from Great It Courses that teaches you every concept in mathematics from prealgebra all the way up to Calculus. To know more about the course series and the road map, please Google "greatitcourses" and go to our "Mathematics" page in the navigation. Thank you! 

Who is the target audience?
  • Anyone who needs to build a strong foundation of mathematics for careers like engineering, science, etc.
  • Anyone who wants to complete the Mathematics Road Map at Great IT Courses.
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Curriculum For This Course
30 Lectures
03:33:00
+
1-3-0 - Course Introduction
6 Lectures 08:56



How to Best Use This Course
00:35

Feedback
00:15

Legal Disclaimer
00:14
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1-3-1 - Introduction to Integers
2 Lectures 27:39

In this video, we'll introduce the set of integers. We'll then talk about how integers can be practically used in real life situations. We'll talk about the number line and how integers are located on the number line. We'll also talk about how numbers are greater or smaller depending on where they are located on the number line. Finally we'll talk about the opposites of numbers and how the negative sign can be used in different ways to mean different things in mathematics.

Preview 14:41

In this video, we'll discuss the absolute value function. We'll also talk about translating word phrases into expressions with integers. 

Preview 12:58
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1-3-2 - Add Integers
6 Lectures 44:56

In this video, we'll develop a model to do addition on Integers. We'll use blue and red counters to do the addition.

Preview 13:07

In this video, we'll talk about using the model that we defined in the previous video to do arithmetic on Integers.

Simplifying Expressions with Integers
13:53

Simplifying Expressions with Integers - Example
06:46

In this video, you'll learn how you can evaluate expressions that contain variable. You substitute the variable with an integer to evaluate the expression.

Evaluating Variable Expressions with Integers
02:10

In this video, you'll learn how to translate a word phrase, phrased in English, into an algebraic expression and evaluate it.

Translating Word Phrases to Algebraic Expressions
02:19

In this video, you'll learn how to use Integer addition in applications. You'll first need to analyze the situation, put the numbers together and solve the problem.

Add Integers in Applications
06:41
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1-3-3 - Subtract Integers
6 Lectures 40:27

In this video, you'll learn how to model the subtraction of integers, positive and negative, using blue and red counters. 

Model Subtraction of Integers
13:11

Model Subtraction of Integers - Example
06:11

In this video, we'll simplify expressions with integers without drawing the model on paper. We'll also talk about the subtraction property.

Simplify Expressions with Integers
12:22

Evaluating Variable Expressions with Integers
01:40

Translating Word Phrases to Algebraic Expressions
02:11

In this video, you'll learn how to do applications or word problems that involve integers.

Subtract Integers in Applications
04:52
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1-3-4 - Multiply and Divide Integers
6 Lectures 49:55

In this video, you'll learn how to multiply positive and negative integers by building models. Based on the models, you can do all kinds of integer multiplication.

Multiply Integers - Part 1
14:44

In this video, you'll learn how to multiply positive and negative integers by building models. Based on the models, you can do all kinds of integer multiplication.

Multiply Integers - Part 2
09:06

In this video, you'll learn how to divide integers using a model for integer division.

Divide Integers
14:03

Simplify Expressions with Integers
06:38

In this video, you'll learn how to substitute variables in a variable expression and evaluate the expression for those values of the variables.

Evaluate Variable Expressions with Integers
03:22

In this video, you'll learn how to write algebraic expressions based on word phrases. For example how to write "the quotient of 56 and 7 in mathematical terms.

Translating Word Phrases to Algebraic Expressions
02:02
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1-3-5 - Solve Equations Using Integers; The Division Property of Equality
4 Lectures 41:08

In this video, you'll learn how to test whether a number is a solution of an equation. In other words, whether for that value of the variable, the equation becomes a true statement.

Solution of an Equation
07:03

In this video, you'll learn about the two properties of equality and how to use them in order to solve equations.

Subtraction and Addition Properties of Equality
12:35

In this video, you'll how to build a model of equations that involve the division property of equality. You'll also learn how to use that model in order to solve equations.

The Division Property of Equality
11:55

In this video, you'll learn how to translate a sentence in English into a mathematical equation and solve that equation.

Translate to an Equation and Solve
09:35
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