Math Chapters 9 and 11 Tutorial

In this tutorial, you will get a introduction to chapters 9 and 11. You will get started with the first few sections of these chapters, which will help you to be able to understand them when we start learning them.

You will need absolutely nothing. Sit back, watch, and enjoy!

Hello, My name is Johnny and I will be introducing you to chapter 9. In these first two subsections, I will teach you how to add positive and negative integers(or whole numbers) in two different ways.

Before we get started with learning how to add positive and negative integers, we need to learn a few basic rules to help us out.

In the first image, you can see that adding two negative integers sums up to be another negative integer. Below that you can see that adding two positive integers sums up to be another positive integer.

Before we continue to the next rules, we need to know that a big negative number is closer to 0, such as -1, and a big positive number is farther away from 0, such as 100. This also applies for the word small. A small negative number is farther away from 0, such as -100, and a small positive number is closer to 0, such as 1.

In the second image you can see that adding a small, negative integer to a small, positive integer sums up to be a negative integer. Below that you can see that adding a large, positive integer to a large, negative integer sums up to be a positive integer.

We also need to learn what a zero pair is, as we will be using it with one of our ways of adding negative and positive integers. A zero pair is a pair of integer chips, with one chip representing +1 and one chip representing −1. This pair represents 0 because (+1)+(-1) = 0.

Now that we know all of these rules and what a zero pair is, we can start adding integers! To the drawing board.

That's all for chapter 9, now time to learn chapter 11. You will learn how to solve simple equations for the first two subsections of this chapter.

Before we go back to the drawing board, we need to learn some definitions and terms. A variable is a placeholder for an unknown number that is usually denoted by an italicized letter. A numerical coefficient is a number that precedes a variable and multiplies it by itself. A constant is a number or symbol, such as 𝝅 or the number 734, that has a fixed value which cannot change. An expression is a mathematical statement that can be a single constant or variable, or a combination of operations with constants, variables, and numerical coefficients. An equation is a mathematical statement made up of two expression that have the same value of each other. Because an equation is made up of two expressions that equal each other in value, this gives us a clue to the value of unknown variables which we need to figure out. Such as x = 23. We know that both expressions need to be the same in value, so that means that x should be equal to 23.