MathMath Resources

The Multiplication Table

The Multiplication Table

The Times Tables

 

The times tables for 1 to 10

Video Crash Courses

Want to watch animated videos and solve interactive exercises about the times tables? 

 

What Is Multiplication?

Multiplication can be defined in the following way: Assume that you have a number a (where a can be any number). If you add a to itself b times, that can be written like this:

a+a+⋯+a⏟b times

This can be tiresome in the long run, especially when b becomes large. That’s where multiplication enters the picture. By definition, the sum above can also be written like this:

a+a+⋯+a⏟b times=b×a

This means that a added to itself b times is the same as a multiplied by b.

The numbers that are multiplied together are called factors, and the answer is called a product.

Rule

Multiplication

factor×factor=product

This might look a little odd—it might not be how you learned about multiplication before. So here’s an example to clarify.

Example 1

You want to add 3 to itself 5 times

This can be written as

3+3+3+3+3⏟5 times

but if you use the definition above, it can also be written as

5×3=15

Multiplication problems with whole numbers (integers) between 1 and 10 are organized in the times tables. You should learn this table by heart.

Rule

Three Important Rules for Multiplication

1.
a×b=b×a. It does not matter what order the numbers are written in when you multiply—you get the same answer either way!
2.
Anything multiplied by 0 is 0. For example, 5×0×20=0.
3.
If you multiply something by 1, it doesn’t change. For example, 32×1=32.
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