Basic Multiplication


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Basic multiplication involves taking an amount contained within one number and repeating that number a set number of times indicated by a second number. Each number in a multiplication problem is called a factor.

For example:

4 x 5

If we count out 4 objects such as squares we have the following:



Then we can layout these squares 5 times as indicated by the second factor in our problem.











We can now count all the squares to arrive at our final answer of 20.

As an addition sentence 4 x 5 = 4 + 4 + 4 + 4 + 4 = 20.


Multiplication Table

Multiplication is typically not done by adding up a repeated digit. It is simplest to memorize multiplication facts with factors from 0 to 9. Below is a table which shows the results of multiplying one digit by one digit for all possible combination 0 through 9:

0 1 2 3 4 5 6 7 8 9
0 0 0 0 0 0 0 0 0 0 0
1 0 1 2 3 4 5 6 7 8 9
2 0 2 4 6 8 10 12 14 16 18
3 0 3 6 9 12 15 18 21 24 27
4 0 4 8 12 16 20 24 28 32 36
5 0 5 10 15 20 25 30 35 40 45
6 0 6 12 18 24 30 36 42 48 54
7 0 7 14 21 28 35 42 49 56 63
8 0 8 16 24 32 40 48 56 64 72
9 0 9 18 27 36 45 54 63 72 81


Notation

Multiplication can be written a number of different ways. Each of the following indicates the same problem and is read as 4 multiplied 6 equals 24 or 4 times 6 equals 24.

4 x 6 = 24     4 * 6 = 24    4(6) = 24    (4)6 = 24    4 • 6 = 24


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