Advanced Arithmetic



Popular Tutorials in Advanced Arithmetic

    • What is the Explicit Formula for the nth Term in a Geometric Sequence?What is the Explicit Formula for the nth Term in a Geometric Sequence?

    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!

    • How Do You Find the Common Difference in an Arithmetic Sequence?How Do You Find the Common Difference in an Arithmetic Sequence?

    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?How Do You Find the Next Terms 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?How Do You Find the Nth Term in an Arithmetic Sequence?

    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!

    • What's an Arithmetic Sequence?What's an Arithmetic Sequence?

    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?What's the Common Difference?

    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?What's a 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?What's a Term in a Sequence?

    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!

    • How Do You Find the Probability of a Simple Event?How Do You Find the Probability of a Simple Event?

    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?How Do You Find the Mean of a Data Set?

    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?How Do You Find the Median of a Data Set?

    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?How Do You Find the Mode of a Data Set?

    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 Range of a Data Set?How Do You Find the Range of a Data Set?

    How Do You Find the Range of a Data Set?

    The range of a data set is the difference between the largest number and the smallest number. In this tutorial, you'll see how to find the range of a set of data. Check it out!

    • How Do You Find a Number of Permutations Using the Fundamental Counting Principle?How Do You Find a Number of Permutations Using the Fundamental Counting Principle?

    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 an Outcome?What is an Outcome?

    What is an Outcome?

    When you're conducting an experiment, the outcome is a very important part. The outcome of an experiment is any possible result of the experiment. Learn about outcomes by watching this tutorial!

    • What is a Sample Space?What is a Sample Space?

    What is a Sample Space?

    In an experiment, it's good to know your sample space. The sample space is the set of all possible outcomes of an experiment. Watch this tutorial to get a look at the sample space of an experiment!

    • What is Probability?What is Probability?

    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?What is the Median of a Data Set?

    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?What is the Mode of a Data Set?

    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?What is the Mean of a Data Set?

    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 Factorial?
    • What is a Permutation?What is a Permutation?
    • How Do You Find an Average?How Do You Find an Average?

    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 Solve a Word Problem Using a Percent Proportion?How Do You Solve a Word Problem Using a Percent Proportion?

    How Do You Solve a Word Problem Using a Percent Proportion?

    Word problems allow you to see the real world uses of math! This tutorial shows you how to take a words problem and turn it into a percent proportion. Then see how to solve for the answer using the mean extremes property of proportions. Take a look!

    • How Do You Use a Proportion to Find a Part of a Whole?How Do You Use a Proportion to Find a Part of a Whole?

    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?What's a Percent?

    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?How Do You Turn a Percent into a Decimal?

    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?How Do You Figure Out a Percent of Change?

    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?What's a Percent of Change?

    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 Set Up a Percent Proportion from a Word Problem?How Do You Set Up a Percent Proportion from a Word Problem?

    How Do You Set Up a Percent 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 do just that! Take a look! You'll be glad you did!

    • How Do You Use an Equation to Find a Part of a Whole?How Do You Use an Equation to Find a Part of a Whole?

    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 Use a Proportion to Find What Percent a Part is of a Whole?How Do You Use a Proportion to Find What Percent a Part is of a Whole?

    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?What's a Percent Proportion?

    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 Ratio?What's a Ratio?

    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 Convert From Decimal Notation to Scientific Notation?How Do You Convert From Decimal Notation to Scientific Notation?

    How Do You Convert From Decimal Notation to Scientific Notation?

    Trying to convert a really large or really small number to scientific notation? Watch this tutorial and you'll be a pro in no time!

    • How Do You Convert From Scientific Notation to Decimal Notation?How Do You Convert From Scientific Notation to Decimal Notation?

    How Do You Convert From Scientific Notation to Decimal Notation?

    Trying to convert a number in scientific notation to decimal notation? Watch this tutorial and you'll be a pro in no time!

    • What's Scientific Notation?What's Scientific Notation?

    What's Scientific Notation?

    Sometimes a number is so big (or so small), that it takes a while to write it all down. Luckily, this number can be written quicker using scientific notation! Watch this tutorial and learn about scientific notation.

    • How Do You Multiply Complex Numbers Using FOIL?How Do You Multiply Complex Numbers Using FOIL?

    How Do You Multiply Complex Numbers Using FOIL?

    Get some practice multiplying complex numbers together using the FOIL method! This tutorial takes you through the process of multiplying two complex numbers together.

    • How Do You Add Complex Numbers?How Do You Add Complex Numbers?

    How Do You Add Complex Numbers?

    If you want to add complex numbers together, first regroup them so that like terms are next to one another. Then, add the like terms together, and you have your answer! To see an example, check out this tutorial.

    • How Do You Subtract Complex Numbers?How Do You Subtract Complex Numbers?

    How Do You Subtract Complex Numbers?

    When you subtract complex numbers, you first need to distribute in the minus sign into the second complex number. Then, regroup the terms so like terms are next to each other. Combine those like terms, and you have the answer! Watch this tutorial to see a great example!

    • How Do You Divide Complex Numbers Using Conjugates?How Do You Divide Complex Numbers Using Conjugates?

    How Do You Divide Complex Numbers Using Conjugates?

    To divide complex numbers, you usually need to multiply by the complex conjugate of the denominator. Follow along with this tutorial to see how to find that complex conjugate and multiply with it to perform the division!

    • What is the Imaginary Unit i?What is the Imaginary Unit i?

    What is the Imaginary Unit i?

    Every tried to take the square root of a negative number? You'll need the imaginary unit 'i' to write the answer. This tutorial introduces you to this useful imaginary unit.

    • What is an Imaginary Number?What is an Imaginary Number?

    What is an Imaginary Number?

    Imaginary numbers are used to help us work with numbers that involve taking the square root of a negative number. In this tutorial, you'll be introduced to imaginary numbers and learn that they're a type of complex number.

    • How Do You Find Equivalent Ratios?How Do You Find Equivalent Ratios?

    How Do You Find Equivalent Ratios?

    Ratios are used to compare numbers. When you're working with ratios, it's sometimes easier to work with an equivalent ratio. Equivalent ratios have different numbers but represent the same relationship. In this tutorial, you'll see how to find equivalent ratios by first writing the given ratio as a fraction. Take a look!

    • How Do You Know If Two Ratios are Proportional?How Do You Know If Two Ratios are Proportional?

    How Do You Know If Two Ratios are Proportional?

    Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional. To see this process in action, check out this tutorial!

    • How Do You Write a Ratio From a Word Problem?How Do You Write a Ratio From a Word Problem?

    How Do You Write a Ratio From a Word Problem?

    Sometimes the hardest part of a word problem is figuring out how to turn the words into a math problem. In this tutorial, you'll see how to take the information given in a word problem and write a ratio. Then, reduce the ratio and explain its meaning. See it all in this tutorial!

    • What are Equivalent Ratios?What are Equivalent Ratios?

    What are Equivalent Ratios?

    Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different! In this tutorial, take a look at equivalent ratios and learn how to tell if you have equivalent ratios.

    • How Do You Turn a Percent Into a Fraction?How Do You Turn a Percent Into a Fraction?

    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?How Do You Turn a Fraction Into a Percent?

    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?How Do You Turn a Decimal into a Percent?

    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?How Do You Use a Proportion to Find a Whole?

    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?How Do You Use an Equation to Find a Whole?

    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?How Do You Figure Out Whether a Percent of Change is an Increase or a Decrease?

    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!

    • How Do You Find Percents Mentally Using Fractions?How Do You Find Percents Mentally Using Fractions?

    How Do You Find Percents Mentally Using Fractions?

    Some fractions are seen so often in math that it can be helpful to know the percent that goes with it. This tutorial shows you some common percent-fraction relationships!

    • How Do You Mentally Find Percents That are Powers of 10?How Do You Mentally Find Percents That are Powers of 10?

    How Do You Mentally Find Percents That are Powers of 10?

    If you're finding the percent of a number and that percent is a power of 10, there's a trick to quickly find the answer! This tutorial explains how to calculate percents that are powers of 10.

    • What is the Percent Equation?What is the Percent Equation?

    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!