Multiplication and division

This course is a part of Arithmetic, a 6-course Topic series from Khan Academy.

In this topic, we will multiply and divide whole numbers. The topic starts with 1-digit multiplication and division and goes through multi-digit problems. We will cover regrouping, remainders, and word problems.

This course contains 16 segments:

Multiplication intro

Welcome to the concept of multiplication.

Multiplication facts

Learn multiplication facts (sometimes called times tables).

Properties of multiplication

Learn about the commutative, associative, and distributive properties of multiplication. Solve multiplication problems by changing the order of factors (commutativity), the grouping of factors (associativity), and by decomposing the factors (distributive property).

Multiplying by tens

As we'll see in this tutorial, multiplying a multiple of 10--like 10, 20, 30, 40, etc.--by a single digit number is not too much more complicated. Common Core Standard: 3.NBT.A.3

Multiplication by 10s, 100s, and 1000s

Learn to multiply whole numbers by multiples of ten. Example: 7 x 500 = 3500

Multiplication: place value and area models

Most people learn to multiply, but only a select-few actually understand what the multiplication represents. This tutorial, with the help of grids and area models, will allow you to be part of this elite group.

Multi-digit multiplication

Learn to multiply multi-digit whole numbers with and without regrouping.

Relating multiplication and division

Let's see how multiplication and division are related.

Division intro

Welcome to the concept of division.

Division facts

Learn your division facts

Division problems that work out nicely

Learn to solve division problems like 3500 ÷ 50 that work out nicely.

Division: place value and area

Dividing big numbers can be difficult to wrap your mind around. In this tutorial, we'll learn some visual ways to think through large division problems.

Multi-digit division (no remainders)

Learn to divide multi-digit numbers by 1-digit numbers. Answers will not have remainders.

Remainders

Some division problems don't work out perfectly. For example, we know that 6 divided by 3 is 2, and 9 divided by 3 is 3. But, what is 7 divided by 3? Or 8 divided by 3? In division problems like these, we're left with remainders.

Multi-digit division (remainders)

Learn to divide any whole number by a multiple-digit whole number.

Multiplication and division word problems

In this tutorial, we'll start to challenge you with more sophisticated multiplication and division word problems. If you understand mult-digit multiplication and long division, you have all the tools you need to tackle these. May the force be with you!