# Number Sense and Algebraic Reasoning

### Popular Tutorials in Number Sense and Algebraic Reasoning

#### 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!

#### 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 are the Commutative Properties of Addition and Multiplication?

The commutative property is a fundamental building block of math, but it only works for addition and multiplication. This tutorial defines the commutative property and provides examples of how to use it.

#### What are the Identity Properties of Addition and Multiplication?

Let's identify an identity! Addition and subtraction have a different identity than multiplication and division. Learn about each of these identities with this tutorial!

#### How Do You Translate a Phrase with One Variable and Number Into a Mathematical Expression?

Need some practice translating phrases into mathematical expressions? Then this tutorial is for you! You'll get practice translating statements involving addition, subtraction, multiplication, or division into mathematical expressions.

#### What are Natural and Whole Numbers?

The natural numbers are also called the counting numbers. The whole numbers are almost exactly as the natural numbers the same except for one small difference! Watch this tutorial and learn the difference between natural and whole numbers.

#### What is a Variable?

You can't do algebra without working with variables, but variables can be confusing. If you've ever wondered what variables are, then this tutorial is for you!

#### What are Some Words You Can Use to Write Word Problems?

Knowing the mathematical meaning of words allows you to decipher word problems and gives you the power to write your own word problems, too! Take a look at these words and learn their mathematical translations.

#### 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 are the Associative Properties of Addition and Multiplication?

The associative property is one of those fundamental properties of math that make math work. You probably take this property for granted because it's so ingrained, but it's important to see how the guts of math work, so check out the tutorial and make sure you're solid on your fundamentals!

#### 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 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 Solve a Word Problem Where You Multiply Fractions and Work Backwards?

Word problems are a great way to see math in the real world. In this tutorial, you'll see how to solve a word problem by working backwards using a table. Check it out!

#### What is a Constant?

Constants are parts of algebraic expressions that don't change. Check out this tutorial to see exactly what a constant looks like and why it doesn't change.

#### How Do You Use the Graph of a Linear Equation to Solve a Word Problem?

Word problems are a great way to see math in the real world! In this tutorial, see how to figure out how long it will take for a rabbit population to go extinct. You'll also see how to set up a table and a graph to help find the answer!

#### How Do You Add Whole Numbers?

To add numbers, you can line up the numbers vertically and then add the matching places together. This tutorial shows you how to add numbers vertically!

#### How Do You Subtract Whole Numbers?

Subtracting numbers is easier than you might think! Watch this tutorial to see the step-by-step process of lining up the numbers vertically to subtract them.

#### How Do You Divide Whole Numbers?

Division is a building block of math. This tutorial shows you how to perform long division by going through the process one step at a time.

#### How Do You Solve a Word Problem by Dividing Whole Numbers?

Word problems are a great way to see math in the real world! Math can help us answer everyday questions. Watch this tutorial to see how division is used to solve a word problem.

#### How Do You Write a Whole Number Given in Expanded Form in Standard Form and in Words?

Being able to change the form of a number is an important skill! This tutorial helps you practice taking a number in expanded form and rewriting it in standard form and in words.

#### How Do You Write a Whole Number Given in Standard Form in Expanded Form and in Words?

If you have a number in standard form, you can quickly change it into expanded form or even into words with a few steps! Watch this tutorial to learn the steps needed to change from one form to another.

#### How Do You Write a Whole Number Given in Words in Standard Form and in Expanded Form?

You can take a number from words and put it into standard form or even expanded form with a few quick steps! See how to change a number from one from to another by watching this tutorial.

#### How Do You Compare Two Whole Numbers?

Comparing two large whole numbers can be a chore, but using a place value chart can make the process easier. Take a look at how to line up the digits and figure out which number is larger.

#### How Do You Put Whole Numbers in Order From Least to Greatest?

Ordering large numbers can be tricky, but a place value chart can make the process easier. This tutorial shows you how to use a place value chart to put large numbers in order!

#### How Do You Find the Value of a Digit in a Whole Number?

Understanding place value is a building block of understanding numbers. Follow along with this tutorial to see how to find the value of a digit for a given number!

#### How Do You Put Whole Numbers in Order From Greatest to Least?

If you're ordering numbers from least to greatest, you can use a place value chart to help! See how to use a place value chart to order numbers by watching this tutorial.

#### How Do You Estimate a Multiplication Problem by Rounding?

Many real world math problems can be solved mentally. In this tutorial, you'll see how to estimate the answer to a word problem by multiplying mentally!

#### How Do You Use Powers to Solve a Word Problem?

Sometimes word problems can be made a little easier if you use exponents! This tutorial shows you how to solve a word problem by writing an expression using exponents.

#### How Do You Simplify an Expression Using the Order of Operations?

You can't simplify an expression without fully understanding the order of operation! Follow along with this tutorial to see how to use the order of operations to simplify an expression.

#### How Do You Simplify an Expression Using the Order of Operations with Exponents?

If you have an expression with more than one operation, you can use the order of operations to help you simplify! Follow along with this tutorial to see how to use the order of operations to simplify an expression.

#### How Do You Evaluate an Algebraic Expression with One Variable?

If you have a value for a variable in an expression, you can evaluate that expression by plugging in that variable value and simplifying! Follow along with this tutorial to see the entire step-by-step process.

#### How Do You Evaluate an Algebraic Expression with Two Variables?

If you have an expression with two variables and you're given the values for those variables, you can plug those values into the expression and simplify to get the answer! This tutorial shows you the steps to plugging variable values into an expression and simplifying.

#### How Do You Complete a Table By Plugging in Values?

Learning how to complete a table of values is a building block of math. You can use a table to see a pattern or even make a graph! This tutorial shows you how to complete a table when you're given an expression and multiple values to plug in.

#### How Do You Write a Rule for a Table?

Patterns are everywhere in math! In this tutorial, you'll see how to find a pattern in a table and make a rule for it!

#### How Do You Use the Distributive Property to Rewrite and Solve an Addition Problem?

Did you know you can solve an addition problem using the distributive property? This tutorial shows you how to do exactly that!

#### How Do You Distribute a Number into an Addition Problem to Solve?

If you're trying to multiply the sum of two numbers, the distributive property may make things easier. Follow along with this tutorial to see how the distributive property can be used to evaluate an expression.

#### How Do You Extend a Sequence by Multiplying?

A sequence of numbers follows a pattern. If you can find that pattern, you can find more numbers in the sequence! In this tutorial, you'll see how to find the next terms in a sequence by first identifying the pattern of that sequence.

#### How Do You Find a Missing Term in a Sequence?

Finding the missing terms of a sequence is a breeze, as long as you know the pattern for the sequence. Follow along with this tutorial to see how to find the pattern of a sequence and then use it to find missing terms of that sequence!

#### How Do You Solve a Problem by Making a Table and Finding a Pattern?

Making a table can be a very helpful way to find a pattern in numbers and solve a problem. This tutorial shows you how to take the information from and word problem to create a table and use it to find the answer!

#### How Do You Solve a Problem Using the Guess, Check, and Revise Method?

Some problems can be solve by guessing an answer, checking it, and then revising your guess. This tutorial goes through that process step-by-step and shows you how to solve a word problem using the guess, test, revise method!

#### How Do You Solve a Problem by Drawing a Diagram?

When your solving a word problem involving distance, drawing a diagram is a great way to see the problem! This tutorial shows you how to make and use a diagram for a word problem involving distance.

#### How Do You Solve a Problem by Making an Organized List?

Organization is a big part of math. In this tutorial, you'll see how organizing information given in a word problem can help you solve the problem and find the answer!

#### How Do You Solve a Problem Using Logical Reasoning?

Using logic is a strong approach to solving math problems! This tutorial goes through an example of using logical reasoning to find the answer to a word problem.

#### How Do You Multiply a Three-Digit Number by a One-Digit Number?

If you want to multiply a three digit number by a one digit number, it can be helpful to line up the multiplication vertically. This tutorial takes you through the process of multiplying!

#### How Do You Multiply a Two-Digit Number by a One-Digit Number?

Multiplication is a building block of math, so it's important to be comfortable with it! This tutorial gives you practice multiplying a one digit number by a two digit number.

#### How Do You Multiply a Two-Digit Number by a Two-Digit Number?

When you're multiplying a two digit number by a two digit number, it's important to keep the places lined up correctly. This tutorial helps you practice multiplying while keeping everything organized!

#### How Do You Divide a Two-Digit Number by a One-Digit Number With No Remainder?

Performing a division? Draw a picture to help you understand it! This tutorial shows you how to draw a picture for a division problem and then takes you through the steps of performing the division.

#### How Do You Divide a Two-Digit Number by a One-Digit Number With a Remainder?

Follow along to see how to perform long division! This tutorial shows you the steps you need to become a pro at long division!

#### How Do You Find a Value to Make an Open Sentence True?

Solving open sentences can be fun! Follow along with this tutorial to see how to find the values that make an open sentence true!

#### How Do You Multiply a Two-Digit Number by a Two-Digit Number Using Partial Products?

You can use partial products to help you multiply two numbers together! Follow the steps in this tutorial to see how partial products can make a multiplication problem easier!

#### How Do You Write a Rule for a Pattern?

Some lists of numbers follow a pattern. To find that pattern, you need to know what you're looking for. This tutorial shows you how to find a pattern for a list of numbers and then write a rule that follows the pattern!

#### How Do You Divide a Three-Digit Number by a One-Digit Number?

Long division can help you keep everything in order when you divide. Follow along to see an example of using long division to solve!

#### How Do You Figure Out What a Remainder Means When You're Dividing?

Division can help you solve all kinds of everyday problems! Just check out this tutorial involving sharing animal crackers!

#### What is the Commutative Property of Addition?

When you're adding numbers together, does their order matter? This tutorial can answer that question! It looks at the Commutative Property of Addition!

#### What is the Commutative Property of Multiplication?

When you're multiplying numbers, the Commutative Property of Multiplication can be very useful! This tutorial introduces this handy property and shows you how to use it.

#### What is the Associative Property of Addition?

The Associative Property of Addition is a useful tool when you're adding multiple numbers together! Follow along with this tutorial to learn about this property and see how to use it.

#### What is the Associative Property of Multiplication?

The Associative Property of Multiplication is a building block of math! Follow along with this tutorial to learn all about this helpful property!

#### What is Place Value for Whole Numbers?

Place value is a building block of numbers. Without place value, we couldn't keep all our numbers straight! This tutorial introduces place value and shows you the parts of a place value chart.

#### What is an Exponent?

If you have a repeated multiplication, you could write it using exponents! This tutorial introduces exponents and explains how they're used.

#### What is an Open Sentence?

Understanding open sentences is a stepping stone for understanding more complex math problems. This tutorials introduces open sentences and gives you an example of how to solve one!

#### How Do You Make a Problem Solving Plan?

Planning is a key part of solving math problems. Follow along with this tutorial to see the steps involved to make a problem solving plan!

#### Which Operations Do You Do First in an Expression?

You can't simplify a problem without the order of operations. In this tutorial, you'll learn about this special order and see how to use it to solve a problem!

#### How Can You Distribute Numbers When You're Adding and Multiplying?

You can use the distributive property to help you add and multiply numbers! Follow along with this tutorial to see the uses of the distributive property.

#### What is Multiplication?

Multiplying integers is just like performing a bunch of additions of the same integer! Check out this tutorial and see how much multiplying and repeated addition have in common.

#### How Do You Do Long Multiplication?

Multiplying together large numbers? No problem! In this tutorial, you'll see how to perform long multiplication to find the answer (without using a calculator!). Take a look!

#### How Do You Determine Which Operations to Use in a Word Problem?

Turning a word problem into a math problem you can solve can be tricky. Luckily, there's some key words to look out for in a word problem that help tell you what math operation to use! This tutorial shows you some of these key words to look for in a word problem.

#### How Do You Translate Phrases into Numerical Expressions?

Turning a phrase from words to a math problem can be tricky, but practice can make this process easier! In this tutorial, you'll see how to look for key words that can help you translate a phrase into math.

#### What is Division?

Division is a stepping stone of math! In this tutorial, you'll see how cookies can help you find the answer to division problems!

#### What Are Numerical and Algebraic Expressions?

An expression is just a mathematical phrase. In this tutorial, you'll learn about two popular types of expressions: numerical and algebraic expressions. A numerical expression contains numbers and operations. An algebraic expression is almost exactly the same except it also contains variables. Check out this tutorial to learn about these two popular kinds of expressions!

#### 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!