Basic Fundamentals

More Specific Topics in Basic Fundamentals

Popular Tutorials in Basic Fundamentals

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?

Inverse properties of addition and multiplication got you stumped? This tutorial should help! Check it out and learn these two important inverse properties.
How Do You Find the Absolute Value of Positive and Negative Numbers?

Finding the absolute value of a number is a breeze when you use a number line! Remember, absolute value is the distance from zero on the number line. This tutorial shows you how to use a number line to find absolute value.
How Do You Evaluate Negative Exponents?

Knowing how to get rid of negative exponents is key to fully simplifying an expression. Get some practice working with negative exponents by watching this tutorial!
How Do You Find the Product of Powers?

When you learn about rule or property, it's best to practice with it. This tutorial takes you through the process of applying product of powers rule to simplify an expression. Check out this tutorial for some great practice!
How Do You Find the Quotient of Powers with Variables?

Being able to use a property or rule can be as important as knowing it. In this tutorial, you'll see how to use the quotient of powers rule to simplify an expression. Take a look!
What's the Power of a Quotient Rule?

Got a fraction raised to a power? Learn how to split that exponent and put it in the numerator and denominator of your fraction using the power of a quotient rule. This tutorial shows you how!
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.
How Do You Simplify Radicals Using the Product Property?

Want to simplify a radical whose radicand is not a perfect square? No sweat! Check out this tutorial and see how to write that radicand as its prime factorization. Then, rewrite any duplicate factors using exponents, break up the radical using the product property of square roots, and simplify. To see this process step-by-step, watch this tutorial!
What is the Product Property of Square Roots?

The product property of square roots is really helpful when you're simplifying radicals. This property lets you take a square root of a product of numbers and break up the radical into the product of separate square roots. Check out this tutorial and learn about the product property of square roots!
What is the Quotient Property of Square Roots?

The quotient property of square roots if very useful when you're trying to take the square root of a fraction. This property allows you to split the square root between the numerator and denominator of the fraction. This tutorial introduces you to the quotient property of square roots. Take a look!
What are Exponents?

Did you know that another word for 'exponent' is 'power'? To learn the meaning of these words and to see some special cases involving exponents, check out this tutorial!
How Do You Simplify an Expression?

Simplifying an algebraic expression is a fundamental part of solving math problems. Get some practice putting an expression in simplest form by following along with this tutorial.
How Do You Use the Distributive Property to Simplify an Expression?

In this tutorial you'll see how to apply the distributive property. Remember that this is important when you are trying to simplify an expression and get rid of parentheses!
How Do You Use the Order of Operations?

If you're trying to simplify some math expressions, you have to do it in the right order. If you've ever wondered how to do that, check out this example tutorial where you'll see exactly what order you need to follow:)
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!
What's the Order of Operations?

Check out this tutorial where you'll see exactly what order you need to follow when you simplify expressions. You'll also see what happens when you don't follow these rules, and you'll find out why order of operations is so important!
How Do You Find a Solution Set When You Have A Replacement Set?

Trying to figure out if the values in a replacement set are part of the solution set to an inequality? Learn how to find the answer to that question with this tutorial!
What's a Set?

This tutorial will help you understand what a set is, and the different kinds of sets that you may see when you're working on algebra problems :)
How Do You Do Long Division?

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!
What's a Dividend and What's a Divisor?

When you do division problems, you need to know the vocabulary that people use to describe what number is being divided, and what number is doing the dividing. This tutorial will help you keep that vocabulary straight!
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 Find the Square Root of a Perfect Square?

Taking the square root of a perfect square always gives you an integer. This tutorial shows you how to take the square root of 36. When you finish watching this tutorial, try taking the square root of other perfect squares like 4, 9, 25, and 144.
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?

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 Turn a Mixed Fraction Into an Improper Fraction?

Working with mixed fractions in equations can be tough, but things get easier if you convert them into improper fractions first. Once you learn this skill, you'll find yourself using it all the time, so take look at how to convert a mixed fraction to an improper fraction.
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 Find a Common Denominator and a Least Common Denominator?

This tutorial gives you some practice finding a common denominator and the least common denominator of three fractions. There's only one least common denominator, but there are many common denominators. This tutorial gives you one. Can you find another?
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?

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 combine a positive and a negative number? This tutorial shows you how. You even get to see it explained with a number line!
What's a Mixed Number?

Fractions come in all sorts of flavors, and in this tutorial you'll learn how to recognize mixed numbers.
What's an Improper Fraction?

Fractions come in all sorts of flavors, and in this tutorial you'll learn how to recognize improper fractions.
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!
What Does Absolute Value Mean?

In this tutorial you'll see how you can think of absolute value in a very intuitive way. Let us know if you have any questions about it!
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!
What's a Prime Number?

Prime numbers aren't too hard to define, but they still puzzle professional mathematicians. Believe it or not, all over the word computers are chugging away, trying to find the next biggest prime! Bigger and bigger prime numbers help keep your credit card info safe through really cool encryption techniques. So prime numbers really matter every day, and you can learn how they are defined in this tutorial.
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!
What's a Numerator and What's A Denominator?

Numerators and denominators are the key ingredients that make fractions, so if you want to work with fractions, you have to know what numerators and denominators are. Lucky for you, this tutorial will teach you some great tricks for remembering what numerators and denominators are all about.
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?

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 Venn Diagram, and How Do You Find the Intersection and Union of a Set?

Venn Diagrams are really great tools for visualizing sets, especially when it comes to how sets intersect and come together. Check out this tutorial and see what we mean!
What's an Integer?

There are lots of different kinds of numbers that you'll come across in algebra, and a lot of these kinds of numbers are related to each other. Before you learn how they are related, you've got to learn about them separately, and in this tutorial you'll how to define integers :)
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?

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

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?

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 Find a Union and Intersection from a Venn Diagram?

Venn Diagrams are a convenient way to figure out the union and intersection of sets. Use this tutorial to get some practice with union, intersection, and Venn Diagrams.
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?

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?

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 Turn an Improper Fraction Into a Mixed Fraction?

In math, it's often important to change a fraction from one type to another. It can help you work with the fraction in an equation or help make more sense of an answer. This tutorial shows you how to convert an improper fraction to a mixed fraction.
How Do You Reduce A Fraction?

Fractions involving large numbers can be a handful, but sometimes these fractions can be reduced, taking those large numbers off your hands. This tutorial shows you how to reduce a fraction to its simplest form. Take a look!
How Do You Find the Greatest Common Factor of Two Numbers Using Prime Factorization?

This tutorial uses something called a factor tree to find the greatest common factor of two numbers. Creating a factor tree for a number makes it easier to find its prime factors. These prime factors are used to help find the greatest common factor. Watch this tutorial and learn how to find the greatest common factor using a factor tree.
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?

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?

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!
What are Trailing Zeros?

Ever wondered about the zeros that come at the end of a decimal number? What are those things anyway? Do they actually matter in terms of the value of the number? Watch the tutorial and see for yourself :)
How Do You Distribute With Whole Numbers and Fractions?

This tutorial shows you how to distribute a whole number into the sum of fractions. It's an important skill to have when you're solving equations, and you never know when it can come up. Be sure to check out this tutorial!
What are Consecutive Numbers?

Consecutive numbers are numbers in counting order. They tend to come up in words problems. Take a look at this tutorial to learn all about consecutive numbers!
What's the Product of Powers Rule?

Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you multiply the same number raised to different exponents!
What's the Power of a Power Rule?

Sometimes you'll see a number with an exponent raised to another exponent, and the first time you see it, you probably think it's a typo! But it's not a typo, it's a real thing, and there's a really nice trick for making it simpler that you'll see in the video.
What's the Power of a Product Rule?

There's a great trick for raising a product of two number to an exponent, and this tutorial shows you exactly that trick works.
What's the Quotient of Powers Rule?

Working with exponents can be lots of fun, as long as you understand how they work. In this tutorial you'll see how exponents add when you divide the same number raised to different exponents!
What Do You Do With a Zero Exponent?

A lot of people get a little uneasy when they see 0, especially when that 0 is the exponent in some expression. After all, there seem to be so many rules about 0, and so many special cases where you're not allowed to do something. Well it turns out that a zero in the exponent is one of the best things that you can have, because it makes the expression really easy to figure out. Watch this tutorial, and next time you see 0 in the exponent, you'll know exactly what to do!
What Do You Do With a Negative Exponent?

Do you ever panic when you see a negative number in the exponent of some mathematical expression? Well if you do, then panic no more! This tutorial will help you overcome your fear, and will help you understand what negative exponents actually mean :)
How Do You Find the Greatest Common Factor of Three Numbers?

To find the greatest common factor (GCF) between numbers, take each number and write its prime factorization. Then, identify the factors common to each number and multiply those common factors together. Bam! The GCF! To see an example worked out, check out this tutorial!
How Do You Find the Greatest Common Factor If There are No Common Factors?

To find the greatest common factor (GCF) between numbers, take each number and write it's prime factorization. Then, identify the factors common to each number and multiply those common factors together. What? There are NO factors in common? Then the GCF is 1. This tutorial gives you one such example. Check it out!
How Do You Find the Prime Factorization of a Number Using a Tree?

To write the prime factorization for a number, it's often useful to use something called a factor tree. Follow along with this tutorial and see how to use a factor tree to find the prime factorization of a given number.
What's Another Definition for Prime and Composite Numbers?

If the only factors a number are 1 and itself, then that number is prime. A number that is not prime is called composite. Learn about prime and composite numbers by watching this tutorial!
What's a Factor?

Factors are a fundamental part of algebra, so it would be a great idea to know all about them. This tutorial can help! Take a look!
What's a Perfect Square?

Anytime you square an integer, the result is a perfect square! The numbers 4, 9, 16, and 25 are just a few perfect squares, but there are infinitely more! Check out this tutorial, and then see if you can find some more perfect squares!
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!
What are Rational Exponents?

You can rewrite an expression with a rational exponent a few different ways. This can come in handy when your solving a problem involving rational exponents. This tutorial shows you how it works! You can even practice with examples!
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 are Positive and Negative Numbers?

Positive and negative numbers (and zero!) are the building blocks of math. This tutorial will introduce you to positive and negative numbers and show you their location on a number line. Plus, learn a special thing about the number zero!
What is the Number Line?

A number line is a way we can visually represent numbers. This tutorial gives you a great introduction to the number line and shows you how to graph numbers on the number line in order to compare them. Check it out!
How Do You Find the Least Common Multiple by Listing Common Multiples?

Looking for practice finding the least common multiple (LCM)? Then be sure to check out this tutorial! Follow along with this tutorial as it goes through the process of listing multiples of given numbers and identifying the smallest of these multiples in order to find the LCM. Take a look!
How Do You Find the Least Common Multiple by Multiplying Common Factors?

Looking for practice finding the least common multiple (LCM)? Then be sure to check out this tutorial! Follow along with this tutorial as it goes through the process of using a factor tree for each given number in order to help find the LCM.
How Do You Put Fractions in Order Using an LCD?

Ordering fractions from least to greatest? Don't have common denominators? You could find the least common denominator (LCD) of the fractions and write equivalent fractions with this LCD. Then, compare the numerators to figure out their order from least to greatest! This tutorial shows you how!
How Do You Convert a Number in Expanded Form into Exponential Form?

Exponential form is a quick way to show that a number should be multiplied by itself a certain number of times. In this tutorial, see how to write a repeated multiplication in exponential form!
How Do You Convert a Number in Exponential Form into Expanded Form?

Did you know that exponents are just a quick way to show repeated multiplication? In this tutorial, see how to expand out a value in exponential form to see what it really represents!
How Do You Evaluate an Exponent?

Exponents just indicate repeated multiplication. Watch this tutorial to see how you can evaluate an exponent by first writing it in expanded form. Take a look!
How Do You Find All the Factors of a Number?

Trying to find all the factors of a number? Setting up a table can be really helpful! Check out this tutorial to see how to use a table to find all the factors of a given number.
How Do You Factor a Greatest Common Factor Out of an Expression?

The greatest common factor (GCF) is the largest factor two or more numbers have in common. Finding the GCF can be very useful in simplifying an expression or solving an equation. In this tutorial, see how to identify the GCF of an expression and factor it out. Check it out!
How Do You Compare Fractions by Finding a Common Denominator?

Ordering fractions from least to greatest? Don't have common denominators? Find a common denominator by multiplying the denominators together. Use that common denominator to create equivalent fractions. Then, compare the numerators to figure out which is bigger! This tutorial shows you how!
What is a Multiple?

Being able to find multiples of a number is important, especially if you want to find the least common multiple (LCM) between numbers. In this tutorial, you'll be introduced to the term multiple. You'll also see how to find multiples of a given number!
What is a Common Multiple and Least Common Multiple?

Sometimes terms in math do a pretty good job of describing the thing they name. This is the case with common multiple and least common multiple (LCM). A common multiple is a multiple that two or more numbers have in common. You can probably guess what a least common multiple is! To get more information about these terms, check out this tutorial!
What are Equivalent Fractions?

Finding equivalent fractions is an important part of things like adding, subtracting, and comparing fractions. But what are they? In this tutorial, you'll learn that equivalent fractions are just fractions that have the same value, even though they may look very different! Take a look at equivalent fractions by watching this tutorial!
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 Add Mixed Fractions with the Same Denominator?

Adding mixed fractions? If they have common denominators, then you can add the whole numbers and fractions separately. In this tutorial, take a look at adding together mixed fractions!
How Do You Subtract Mixed Fractions with the Same Denominator?

Subtracting mixed fractions? If they have common denominators, then you can subtract the whole numbers and fractions separately. In this tutorial, take a look at subtracting mixed fractions!
How Do You Add Mixed Fractions with the Same Denominator by Converting to Improper Fractions?

Adding mixed fractions? You could first convert each to an improper fraction. If they have common denominators, then you could add the fractions together, simplify, and convert the answer back to a mixed fraction. In this tutorial, take a look at adding together mixed fractions!
How Do You Add Mixed Fractions with Different Denominators by Converting to Improper Fractions?

Adding mixed fractions? You could first convert each to an improper fraction. If they don't have common denominators, then find a common denominator and use it to rewrite each fraction. Then, add the fractions together and simplify. In this tutorial, take a look at adding together mixed fractions with unlike denominators!
How Do You Subtract Mixed Fractions with Different Denominators by Regrouping?

Subtracting mixed fractions with unlike denominators? You could first find a common denominator and use it to rewrite each fraction. Then, subtract the whole numbers and fractions separately. In this tutorial, take a look at subtracting mixed fractions with unlike denominators!
How Do You Subtract Mixed Fractions with Different Denominators by Converting to Improper Fractions?

Subtracting mixed fractions? You could first convert each to an improper fraction. If they don't have common denominators, then find a common denominator and use it to rewrite each fraction. Then, subtract the fractions and simplify. In this tutorial, take a look at subtracting mixed fractions with unlike denominators!
How Do You Multiply Mixed Numbers?

To multiply mixed fractions together, you could first convert each to an improper fraction. Then, multiply the fractions together, simplify, and convert your answer back to a mixed fraction. This tutorial will show you how!
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 Divide Mixed Numbers?

To divide mixed fractions, you could first convert each to an improper fraction. Then, switch to a multiplication problem by multiply by the reciprocal of the divisor. Simplify and convert your answer back to a mixed fraction to get your answer! This tutorial will show you how!
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?

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.
How Do You Compare Fractions by Converting to Decimals?

Comparing fractions with unlike denominators? You could convert each fraction to a decimal and compare the decimals on a number line. Check out this tutorial to see how you can compare fractions with unlike denominators!
How Do You Put Fractions and Decimals in Order?

Ordering numbers from least to greatest? Are the numbers in different forms? To make comparing easier, convert all the numbers to decimals. Then, plot those decimals on a number line and compare them! This tutorial shows you how!
What is Place Value?

Did you know numbers have place values? This tutorial introduces you to the term place value and shows you some of the most seen place values. Take a look!
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?

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.