Advanced Arithmetic

More Specific Topics in Advanced Arithmetic

Popular Tutorials in Advanced Arithmetic

What are Rates and Unit Rates?

Can you do 100 sit-ups in 2 minutes? That's a rate! Driving a car going 40 miles per hour? That's a unit rate! Watch this tutorial to learn about rate and unit rate (and the difference!).
What is the Explicit Formula for the nth Term in a Geometric Sequence?

Trying to find the value of a certain term in a geometric sequence? Don't want to go through the terms one-by-one to find the one you want? Use the formula to find the nth term in a geometric sequence! This tutorial shows you how find that formula!
What is the Product Rule for Inverse Variation?

Knowing the product rule for inverse variation can be a real time-saver! Want to learn about it? Here's a tutorial that can help!
How Do You Find the Common Difference in an Arithmetic Sequence?

Trying to find the common difference in an arithmetic sequence? You need to figure out what number you need to add to each term to get the next term in the sequence. It's easier than you might think! Watch this tutorial and learn how to find the common difference in an arithmetic sequence.
How Do You Find the Next Terms in an Arithmetic Sequence?

To find the next few terms in an arithmetic sequence, you first need to find the common difference, the constant amount of change between numbers in an arithmetic sequence. Once you know the common difference, you can use it to find those next terms! This tutorial takes you through that process, so be sure to check it out!
How Do You Find the Nth Term in an Arithmetic Sequence?

Got an arithmetic sequence? Trying to find a later term in that sequence? Don't want to keep adding the common difference to each term until you get to the one you want? Then use the equation for the nth term in an arithmetic sequence instead! This tutorial will show you how!
How Do You Write an Equation for Direct Variation Given a Point?

Looking for some practice with direct variation? Watch this tutorial, and get that practice! This tutorial shows you how to take given information and turn it into a direct variation equation. Then, see how to use that equation to find the value of one of the variables.
What's an Arithmetic Sequence?

See a pattern in a sequence? It might be an arithmetic sequence! Learn about arithmetic sequences by watching this tutorial.
What's the Common Difference?

Did you know that the constant you add to a term in an arithmetic sequence to get the next term has a name? It's called a common difference! This tutorial is a great way to learn more about the common difference of an arithmetic sequence.
What's a Sequence?

Got a set of numbers? Are they in a particular order? If so, then you have a sequence! Take a look at sequences by watching this tutorial.
What's a Term in a Sequence?

When you're looking at a sequence, each value in that sequence is called a term. This tutorial explains the definition of the term of a sequence. Take a look!
What's the Constant of Variation?

The constant of variation is the number that relates two variables that are directly proportional or inversely proportional to one another. But why is it called the constant of variation? This tutorial answers that question, so take a look!
How Do You Use a Tree Diagram to Count the Number of Outcomes in a Sample Space?

When you're trying to figure out all the possibilities from different options, it can be helpful to make a tree diagram. In this tutorial, you'll see how to use a tree diagram to figure out how many different outfits can be created from the possible shirts, bottoms, and shoes given. Check it out!
How Do You Use the Fundamental Counting Principle to Count the Number of Outcomes in a Sample Space?

When you're trying to figure out all the possibilities from different options, it can be helpful to draw a picture. In this tutorial, you'll see how to use a picture to figure out how many different outcomes can be created from the possibilities given. Check it out!
How Do You Find the Probability of a Simple Event?

Working with probabilities? Check out this tutorial! You'll see how to calculate the probability of picking a certain marble out of a bag.
How Do You Find the Mean of a Data Set?

Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean! To see an example of finding the mean, watch this tutorial!
How Do You Find the Median of a Data Set?

The median of a data set is the number that is the middle value of the set. It's easy to find the median if you first put the numbers in order from least to greatest. In this tutorial, see how to find the median of a data set, and see what to do if there are two middle values!
How Do You Find the Mode of a Data Set?

The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode! Follow along with this tutorial and see how to find the mode of a set of data.
How Do You Find the Mode of a Data Set When There is More Than One Mode?

The mode of a data set is the number that occurs most often, but what if your data set has more than one mode? Is that possible? This tutorial explains what to do when a data set has multiple modes!
How Do You Find the Mode of a Data Set Where All The Numbers are Different?

To find the mode of a data set, look for the number that occurs most often. What if all the numbers occur the same number of times? What's the mode of that data set? This tutorial will tell you!
How Do You Find a Number of Permutations Using the Fundamental Counting Principle?

The Fundamental Counting Principle (FCP) can be used to find a number of permutations. Follow along with this tutorial to see how to use the FCP to find the number ways you can rearrange the letters in the word NUMBER.
What is the Fundamental Counting Principle?

The Fundamental Counting Principle is a way to figure out the total number of ways different events can occur. In this tutorial, you'll be introduced to this principle and see how to use it in an example. Take a look!
What is Probability?

Probability can help you solve all sorts of everyday problems, but first you need to know what probability is! Follow along with this tutorial to learn about probability!
What is the Median of a Data Set?

The median is one of many measures of central tendency. Check out this tutorial to learn what the median is and how you can find it!
What is the Mode of a Data Set?

Finding the mode of a set of data can help you understand the data better. This tutorial introduces you to mode and shows you how to find this helpful measure of central tendency!
What is the Mean of a Data Set?

When you think of the mean of a data set, think of the word average. 'Mean' and 'average' are the same thing when you're talking about a set of data! This tutorial introduces you to mean and shows you how to find it!
What is a Factorial?
What is a Permutation?
How Do You Find an Average?

What is the average temperature outside today? What is the average amount of time it takes you to do your homework? What is the average price for a gallon of gas? To figure out how to find the average to just about anything, check out this tutorial about averages!
How Do You Set Up a Proportion from a Word Problem?

Sometimes the hardest part of a word problem is figuring out how to turn the words into an equation you can solve. This tutorial let's you see the steps to take in order to turn a word problem involving a blueprint into a proportion. Take a look!
How Do You Use a Proportion to Find a Part of a Whole?

Taking a percent of a number? Trying to figure out the result? Use a percent proportion to solve! This tutorial will show you how!
What's a Percent?

Sales tax, tips at restaurants, grades on tests... no matter what you do, you can't run away from percents. So watch this tutorial and see once and for all what percents are all about!
How Do You Turn a Percent into a Decimal?

Percents and Decimals are just tools that let us represent numbers, and that is why percents can be converted into decimals, and decimals can be converted into percents. In this tutorial you'll see how quickly you can convert percents into decimals!
How Do You Figure Out a Percent of Change?

Word problems allow you to see the real world uses of math! In this tutorial, learn how to calculate the percent of increase using the percent of change formula.
What's a Percent of Change?

Lots of things in this world change their value such as cars, video games, and computers. When something either increases or decreases in value, it can be useful to know the percent of that change in value. To figure out that percent, you'll need the percent of change formula. Learn it with this tutorial!
How Do You Use an Equation to Find a Part of a Whole?

Taking a percent of a number? Trying to figure out the result? Convert the percent to a decimal and multiply it by the number! This tutorial will show you how!
How Do You Solve a Word Problem Using the Direct Variation Formula?

Word problems allow you to see math in action! Take a look at this word problem involving an object's weight on Earth compared to its weight on the Moon. See how the formula for direct variation plays an important role in finding the solution. Then use that formula to see how much you would weigh on the Moon!
What's the Direct Variation or Direct Proportionality Formula?

Ever heard of two things being directly proportional? Well, a good example is speed and distance. The bigger your speed, the farther you'll go over a given time period. So as one variable goes up, the other goes up too, and that's the idea of direct proportionality. But you can express direct proportionality using equations, and that's an important thing to do in algebra. See how to do that in the tutorial!
How Do You Use the Formula for Direct Variation?

If two things are directly proportional, you can bet that you'll need to use the formula for direct variation to solve! In this tutorial, you'll see how to use the formula for direct variation to find the constant of variation and then solve for your answer.
How Do You Solve a Word Problem Using Inverse Variation?

If two things are inversely proportional, you can bet that you'll need to use the formula for inverse variation to solve! In this word problem, you'll see how to use the formula for inverse variation to find the constant of inverse variation and then solve for your answer.
How Do You Solve a Proportion Using Cross Products?

Want to solve a percent proportion? Just use the means extremes property of proportions to cross multiply! Solve for the variable, and you have your answer! Learn how with this tutorial.
What's the Inverse Variation or Indirect Proportionality Formula?

Ever heard of two things being inversely proportional? Well, a good example is speed and time. The bigger your speed, the less time it takes to get to where you are going. So when one variable is big, the other is small, and that's the idea of inverse proportionality. But you can express inverse proportionality using equations, and that's an important thing to do in algebra. See how to do that in the tutorial!
How Do You Use the Formula for Inverse Variation to Write an Equation?

If two things are inversely proportional, you can bet that you'll need to use the formula for inverse variation to solve! In this tutorial, you'll see how to use the formula for inverse variation to find the constant of inverse variation and then solve for your answer.
How Do You Use a Proportion to Find What Percent a Part is of a Whole?

A part is some percent of a whole. Trying to calculate the percent? Use a percent proportion to solve! This tutorial will show you how!
What's a Percent Proportion?

Percents are important, and the reality is that percents are actually proportions in disguise. In this tutorial you'll see exactly how to connect percents with proportions, and you'll be happier for it :)
What's a Proportion?

The idea of proportions is that a ratio can be written in many ways and still be equal to the same value. That's why proportions are actually equations with equal ratios. This is a bit of a tricky definition, so make sure to watch the tutorial!
What's the Means-Extremes Property of Proportions?

The means-extremes property of proportions allows you to cross multiply, taking the product of the means and setting them equal to the product of the extremes. This property comes in handy when you're trying to solve a proportion. Watch this tutorial to learn more!
What's a Ratio?

Ratios are everywhere! The scale on a map or blueprint is a ratio. Ingredients sometimes need to be mixed using ratios such as the ratio of water to cement mix when making cement. Watch this tutorial to learn about ratios. Then think of some ratios you've encountered before!
How Do You Solve a Word Problem Using a Proportion?

This tutorial provides a great real world application of math. You'll see how to use the scale from a blueprint of a house to help find the actual height of the house. This tutorial shows you how to use a proportion to solve!
How Do You Use Dimensional Analysis to Convert Units on One Part of a Rate?

Word problems are a great way to see math in action! In this tutorial, learn how to use the information given in a word problem to create a rate. Then, find and use a conversion factor to convert a unit in the rate. Take a look!
How Do You Use Dimensional Analysis to Convert Units on Both Parts of a Rate?

Word problems are a great way to see math in action! In this tutorial, learn how to use the information given in a word problem to create a rate. Then, find and use conversion factors to convert the rate to different units!
What is Dimensional, or Unit Analysis?

If youâ€™re solving a math problem or word problem that contains units, you need to remember to include your units in your answer. By using dimensional analysis or unit analysis, you can include those units as you solve! Watch this tutorial and take a look at dimensional analysis!
How Do You Turn a Percent Into a Fraction?

Looking for some practice converting percents to fractions? Then this tutorial was made for you! Follow along as this tutorial shows you how to convert a percent to a fraction. Then, reduce the fraction to put it in simplest form. Check it out!
How Do You Turn a Fraction Into a Percent?

Looking for some practice converting fractions to percents? Then this tutorial was made for you! Follow along as this tutorial shows you how to convert a fraction to a percent.Take a look!
How Do You Turn a Decimal into a Percent?

Converting decimals into percents is easier than you may think! To convert a decimal to a percent, just move the decimal point to places to the right and put a percent sign at the end! To see it done, check out this tutorial!
How Do You Use a Proportion to Find a Whole?

Taking a percent of a number? Trying to figure out the result? Use a percent proportion to solve! This tutorial will show you how!
How Do You Use an Equation to Find a Whole?

Taking a percent of a number? Trying to figure out the result? Use a percent equation to solve! This tutorial will show you how!
How Do You Figure Out Whether a Percent of Change is an Increase or a Decrease?

Word problems are a great way to see the real world applications of math! In this tutorial, you'll see how the percent of change can be found from the information given in a word problem. Check it out!
What is the Percent Equation?

Taking a percent of a number? Percent equations can be very helpful in solving such a problem, but what are percent equations? Watch this tutorial to learn about percent equations!