# Multiplication

For tips on learning math/multiplication and also tips on how to become a math champion see: Multiplication Tips and Tricks.

For a multiplication table see:

Multiplication Table #1

Here is an activity worksheet to fill in a blank multiplication table

Here is a worksheet that has all the multiplication problems you’ll ever need to know. (well, sort of….If you know the 1 rule, the 0 rule and that multiplication can commute!)

The 36

For beginning multiplication worksheets of one-digit to one-digit whole numbers that feature a progression of problems such as 1Ã—0, 2Ã—2, 3Ã—1, 5Ã—4, 7Ã—7, 9Ã—6, etc.. see:

Beginning Multiplication: #1 Â  #2 Â  #3 Â  #4 Â  #5 Â  #6 Â  Test

This worksheet focuses on multiplying 1s, 2s, 5s and 4s

This Worksheet focus on multiplying 1s, 2s, 3s and 4s

This worksheet focus on multiplying the 5s, 6s, 7s and 8s

This worksheet focuses on multiplying 9s

For some multiplication worksheets that cover multiplying two-digit whole numbers to a one-digit whole number such as 24Ã—6, 56Ã—9, 76Ã—7 see:

Multiply Two-Digit Whole Numbers to One-Digit Whole Numbers #1 Â  #2 Â  Test

These worksheets are one-digit whole number multiplications with missing factors #1Â  #2Â  Test.

This multiplication test covers problems from all the above worksheets and includes problems such as 1,479 Ã— 6….7,185 Ã— 62….and 3,465 Ã— 1,295 see:

Multiplication Test

Multiplication is one of the basic operations of elementary arithmetic. It is also defined for whole numbers in terms of repeated addition. For instance, when 3 is multiplied by 4, it means 4 is added 3 times. Multiplication of fractions or rational numbers and real numbers can also be defined in terms of systematic generalization of this basic idea.

The Egyptian method of multiplication of integers and fractions was documented in Ahmes Papyrus. It was done by successive additions and doubling. There were many other methods of multiplication, which were practiced in various parts of the world. Multiplication is denoted by â€œxâ€ sign and it can also be denoted by a dot.

Features of multiplication

Multiplication is commutative. For instance, if you multiply 3×4 then the result will be 12, however, the result won’t change even if you change the position and multiply 4×3. Therefore, the product of a multiplication doesn’t changes even if you change the positions.

Moreover, it can be proved if we consider A as a set of cardinality m and B has cardinality n, then the cardinality of mn is AxB. However, (a,b) and (b,a) is a bijection between AxB and BxA. Therefore, it can be proved that multiplication possess commutativity.

Multiplication can also be generalized further to other abstract constructs. These abstract constructs can be matrices as well. However, multiplication is not as basic as addition. The feature can be backed by a simple theory that multiplication is defined in terms of addition.