Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers.


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    • What are the Multiplication Properties of 0 and -1?What are the Multiplication Properties of 0 and -1?

    What are the Multiplication Properties of 0 and -1?

    Understanding the multiplication properties of 0 and -1 are fundamental building blocks in learning all there is to know about the operation of multiplication. In this tutorial, you'll learn about these two important properties.

    • What are the Inverse Properties of Addition and Multiplication?What are the Inverse Properties of Addition and Multiplication?

    What are the Inverse Properties of Addition and Multiplication?

    Inverse properties of addition and multiplication got you stumped? This tutorial should help! Check it out and learn these two important inverse properties.

    • What are Multiplicative Inverses?What are Multiplicative Inverses?

    What are Multiplicative Inverses?

    Multiplicative inverses. That's a mouthful! Really, this term just refers to numbers that when multiplied together equal 1. These numbers are also called reciprocals of each other! Learn about multiplicative inverses by watching this tutorial.

    • What is the Distributive Property?What is the Distributive Property?

    What is the Distributive Property?

    The distributive property is a very deep math principle that helps make math work. It's the rule that lets you expand parentheses, and so it's really critical to understand if you want to get good at simplifying expressions. So check out the tutorial and let us know what you think!

    • How Do You Do Long Division with Decimals?How Do You Do Long Division with Decimals?

    How Do You Do Long Division with Decimals?

    We know that calculators are everywhere, but that doesn't mean that long division isn't important! Sometimes you won't be allowed to use a calculator, and when those times occur, you'll be thankful that you watched this video!

    • How Do You Subtract Fractions with Different Denominators?How Do You Subtract Fractions with Different Denominators?

    How Do You Subtract Fractions with Different Denominators?

    Subtracting fractions with unlike denominators doesn't have to be a nightmare. Just find a common denominator and everything calms down! See how to keep your fraction subtraction calm with this tutorial.

    • How Do You Subtract Fractions with the Same Denominator?How Do You Subtract Fractions with the Same Denominator?

    How Do You Subtract Fractions with the Same Denominator?

    Subtracting fractions with like denominators? Just subtract the numerators and put the result over the common denominator! To see this process in action, check out this tutorial!

    • How Do You Multiply and Divide Numbers with Different Signs?How Do You Multiply and Divide Numbers with Different Signs?

    How Do You Multiply and Divide Numbers with Different Signs?

    A positive times a positive is a positive. A negative times a negative is a positive. What about a negative times a positive? This tutorial gives you the answer by showing you how multiply (and divide!) with mixed signs.

    • How Do You Multiply Fractions?How Do You Multiply Fractions?

    How Do You Multiply Fractions?

    Working with fractions can be intimidating, but if you arm yourself with the right tools, you'll find that working with fractions is no harder than working with basic numbers. In this tutorial you'll see the process for multiplying 3 very simple fractions. Enjoy!

    • How Do You Add Fractions with Different Denominators?How Do You Add Fractions with Different Denominators?

    How Do You Add Fractions with Different Denominators?

    Trying to add fractions with unlike denominators? You're going to need a common denominator first! Follow along with this tutorial and see what you need to do to add these fractions together.

    • How Do You Add a Negative Number to a Positive Number?How Do You Add a Negative Number to a Positive Number?

    How Do You Add a Negative Number to a Positive Number?

    How do you combine a positive and a negative number? This tutorial shows you how. You even get to see it explained with a number line!

    • How Do You Multiply a Whole Number by a Fraction?How Do You Multiply a Whole Number by a Fraction?

    How Do You Multiply a Whole Number by a Fraction?

    Multiplying a whole number and a fraction can be confusing, but this tutorial helps to sort things out. Check it out!

    • How Do You Figure Out the Sign of a Product or Quotient?How Do You Figure Out the Sign of a Product or Quotient?

    How Do You Figure Out the Sign of a Product or Quotient?

    Multiplying and dividing numbers takes a good amount of thinking, and it's easy to make a mistake. But you can make sure that you're on the right track if you check whether the answer should be positive or negative. In this tutorial you'll see exactly how to tell if your answer will be positive or negative, even if you don't know the exact value of the answer. That way you'll always be able to check your answers!

    • How Do You Add Fractions with the Same Denominator?How Do You Add Fractions with the Same Denominator?

    How Do You Add Fractions with the Same Denominator?

    While adding fractions can be hard, adding fractions with the same denominator is just as easy as adding numbers. That's why when you add fractions you first get all of them to have the same denominator, and then add them up. In this tutorial you get to see just how easy it is to add up fractions once they have the same denominator!

    • How Do You Subtract a Positive Number from a Negative Number?How Do You Subtract a Positive Number from a Negative Number?

    How Do You Subtract a Positive Number from a Negative Number?

    Subtracting a positive from a negative? Just remember: subtracting a positive is the same as adding a negative. See how it works in this tutorial!

    • How Do You Subtract a Negative Number from a Positive Number?How Do You Subtract a Negative Number from a Positive Number?

    How Do You Subtract a Negative Number from a Positive Number?

    Subtracting a negative from a positive? Just remember: subtracting a negative is the same as adding a positive. See how it works in this tutorial!

    • What's a Rational Number?What's a Rational Number?

    What's a Rational Number?

    There are lots of different kind of numbers that you should know about, and that includes rational numbers. Check out the tutorial!

    • How Do You Simplify a Fraction Over a Whole Number?How Do You Simplify a Fraction Over a Whole Number?

    How Do You Simplify a Fraction Over a Whole Number?

    Complex fractions are, well, complex. But if you watch this tutorial, you'll see how to make these complex fractions much simpler!

    • What's a Complex Fraction?What's a Complex Fraction?

    What's a Complex Fraction?

    Ever wondered what makes complex fractions so complex? Check out this video tutorial and wonder no more :)

    • What's the Reciprocal Rule of Division?What's the Reciprocal Rule of Division?

    What's the Reciprocal Rule of Division?

    When you divide fractions, the trick is to rewrite division as a multiplication. But the truth is that you can always rewrite division as a multiplication, and in this tutorial you'll see the rule that makes that possible!

    • How Do You Simplify a Fraction Over a Fraction?How Do You Simplify a Fraction Over a Fraction?

    How Do You Simplify a Fraction Over a Fraction?

    Complex fractions can be pretty complex. Luckily, you can simplify a complex fraction to make it much easier to work with. See how in this tutorial!

    • What's a Reciprocal?What's a Reciprocal?

    What's a Reciprocal?

    Reciprocals are important when it comes to dividing fractions, finding perpendicular lines, dealing with inverse proportions, and so much more! In this tutorial you can review the basics about reciprocals.

    • How Do You Add and Subtract a Bunch of Numbers with Different Signs?How Do You Add and Subtract a Bunch of Numbers with Different Signs?

    How Do You Add and Subtract a Bunch of Numbers with Different Signs?

    Some problems require adding and subtracting a combination of positive and negative numbers. Watch this tutorial and learn how to keep everything organized so you can find the answer!

    • How Do You Rewrite Subtraction as Addition?How Do You Rewrite Subtraction as Addition?

    How Do You Rewrite Subtraction as Addition?

    Subtracting a positive is the same thing as adding a negative. Subtracting a negative is the same as adding a positive. Get a closer look with this tutorial!

    • How Do You Add Two Negative Numbers?How Do You Add Two Negative Numbers?

    How Do You Add Two Negative Numbers?

    Adding two negative numbers together? Just add the absolute value of each number together, put a negative sign in front, and you have your answer! See how it's done in this tutorial.

    • How Do You Subtract a Whole Number from a Fraction?How Do You Subtract a Whole Number from a Fraction?

    How Do You Subtract a Whole Number from a Fraction?

    Subtracting a whole number from a fraction can be tricky. Luckily, watching this tutorial can make this subtraction no big deal!

    • How Do You Subtract Decimals?How Do You Subtract Decimals?

    How Do You Subtract Decimals?

    Doing math with paper and pencil can come in real handy, so make sure you're comfortable subtracting decimals by hand. After all, you don't want the calculator to be a crutch!

    • How Do You Add Decimals?How Do You Add Decimals?

    How Do You Add Decimals?

    Doing math with paper and pencil can come in real handy, so make sure you're comfortable adding decimals by hand. After all, you don't want the calculator to be a crutch!

    • How Do You Multiply Decimals?How Do You Multiply Decimals?

    How Do You Multiply Decimals?

    Doing math with paper and pencil can come in real handy, so make sure you're comfortable multiplying decimals by hand. After all, you don't want the calculator to be a crutch!

    • Why Can't You Divide By 0?Why Can't You Divide By 0?

    Why Can't You Divide By 0?

    Why can't you divide by 0? This may be one of the most asked math questions. Get this question answered once and for all by watching this tutorial!

    • How Do You Add Integers Using a Number Line?How Do You Add Integers Using a Number Line?

    How Do You Add Integers Using a Number Line?

    Combining integers? You could use a number line to help find the answer! In this tutorial, see how to use a number line to add together integers with the same sign and ones with opposite signs. Take a look!

    • How Do You Subtract Integers Using a Number Line?How Do You Subtract Integers Using a Number Line?

    How Do You Subtract Integers Using a Number Line?

    Subtracting integers? You could use a number line to help find the answer! In this tutorial, see how to use a number line to subtract integers with the same sign and ones with opposite signs. Take a look!

    • What are the Rules for Using Absolute Values to Add Integers?What are the Rules for Using Absolute Values to Add Integers?

    What are the Rules for Using Absolute Values to Add Integers?

    When you're combining numbers, there are some helpful rules to make that process a little easier. This tutorial shows you the rules for using absolute values to combine integers with the same sign or with opposite signs. Take a look!

    • What is the Opposite, or Additive Inverse, of a Number?What is the Opposite, or Additive Inverse, of a Number?

    What is the Opposite, or Additive Inverse, of a Number?

    Have you ever combined two numbers together and found their sum to be zero? When that happens, those numbers are called additive inverses of each other! In this tutorial, you'll learn the definition for additive inverse and see examples of how to find the additive inverse of a given value.

    • How Do You Divide a Decimal by a Decimal?How Do You Divide a Decimal by a Decimal?

    How Do You Divide a Decimal by a Decimal?

    Dividing decimals? Then this tutorial is a must see! Follow along and learn how you can divide decimals by rewriting the problem as a fraction and then using long division to solve. Check it out!

    • How Do You Divide Fractions?How Do You Divide Fractions?

    How Do You Divide Fractions?

    Dividing fractions? Change that division to a multiplication by multiplying the dividend by the reciprocal of the divisor. Learn all about it by watching this tutorial!

    • How Do You Turn a Fraction Into a Terminating Decimal?How Do You Turn a Fraction Into a Terminating Decimal?

    How Do You Turn a Fraction Into a Terminating Decimal?

    Did you know that a fraction just represents a division? To turn a fraction into a decimal, divide the numerator by the denominator. In this tutorial, see how to convert a fraction into the terminating decimal it represents.

    • How Do You Turn a Fraction Into a Repeating Decimal?How Do You Turn a Fraction Into a Repeating Decimal?

    How Do You Turn a Fraction Into a Repeating Decimal?

    Did you know that a fraction just represents a division? To turn a fraction into a decimal, divide the numerator by the denominator. In this tutorial, see how to convert a fraction into the repeating decimal it represents.

    • What is a Terminating Decimal?What is a Terminating Decimal?

    What is a Terminating Decimal?

    A terminating decimal is a decimal that ends. It's a decimal with a finite number of digits. Did you know that all terminating decimals can be rewritten as fractions? Watch this tutorial to learn about terminating decimals and see some examples!

    • What is a Repeating Decimal?What is a Repeating Decimal?

    What is a Repeating Decimal?

    A repeating decimal is a decimal that has a digit, or a block of digits, that repeat over and over and over again without ever ending. Did you know that all repeating decimals can be rewritten as fractions? To make these kinds of decimals easier to write, there's a special notation you can use! Learn about repeating decimals in this tutorial.