You are in Advanced/Multiplication section

Welcome in our Advanced/Multiplication section. Remember, when a thing (always the same) is added over and over, this operation can be written as a multiplication of the thing by the number of the apparition of this thing in the addition.

Examples:

+ = x 2 =

If this thing is a real number, we can write for example the following equivalence:

1) 2 + 2 = 2 x 2 = 4

2) 2 + 2 + 2 = 2 x 3 = 6

3) 2 + 2 + 2 + 2 + 2 = 2 x 5 = 10

4) 3 + 3 + 3 = 3 x 3 = 9

5) 4 + 4 = 4 x 2 = 8

6) 5 + 5 = 5 x 2 = 10

7) 5 + nothing = 5 X 1 = 5 (where nothing is normally represented by 0 (zero))

note: 0 is neutral in an addition, and 1 is neutral in a multiplication. Neutral term means that the considered neutral element (0 or 1) is without effect on the arthmetic operation concerned (addition or multiplication).

1) 5 + 0 = 5 or 5 X 1 = 5

2) 7 + 0 = 7 or 7 X 1 = 7

3) 9 + 0 = 9 or 9 X 1 = 9

and it is also true to write:

4) 3 + 0 = 3 X 1 = 3

5) 7 + 0 = 7 X 1 = 7

6) 8 + 0 = 8 X 1 = 8

7) 9 + 0 = 9 X 1 = 9

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