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:
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!)
For beginning multiplication worksheets of one-digit to one-digit whole numbers that feature a progression of problems such as 1×0, 2×2, 3×1, 5×4, 7×7, 9×6, etc.. see:
Beginning Multiplication: #1 #2 #3 #4 #5 #6 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 24×6, 56×9, 76×7 see:
Multiply Two-Digit Whole Numbers to One-Digit Whole Numbers #1 #2 Test
These worksheets are one-digit whole number multiplications with missing factors #1 #2 Test.
This multiplication test covers problems from all the above worksheets and includes problems such as 1,479 × 6....7,185 × 62....and 3,465 × 1,295 see:
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 “x” sign and it can also be denoted by a dot.
Features of multiplication
Multiplication is commutative. For instance, if you multiply 3x4 then the result will be 12, however, the result won't change even if you change the position and multiply 4x3. 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.
Some secrets about multiplication are
- No matter how big a number you multiply by 1, the product will be just the number you have multiplied by 1 only. Therefore, it can be concluded that anything multiplied by 1 results to that number only.
- Always try to have a clear idea about multiplication. It is a good idea to remember the multiplication tables but in case you forget, you should be able to figure the result with the alternative method of addition.
- You should also learn that any number multiplied by 2 gives a product that is double the number. For instance, when 7 is multiplied to 2 that is 7x2, the product is 14, which is just the double of 7. It is just as the number added to itself.
- There is another trick to solve a multiplication problem as if you have forgotten the product 7x4 is, then you can well solve out the problem if you remember the table of 4 because it will help you to remember the value of 4x7 and it is very well known that the value remains same irrespective of the position.
- Another secret is that any number when multiplied by 5 will have 0 or 5 at the right hand most side of product. However, any whole number multiplied by 10 will always have 0 at the right hand most side of the product.
- Whenever you are multiplying a single digit number to 11, all you need to do is to write down the number twice and that is the product. i.e. 5 x 11 = 55