The properties of multiplication need to be considered in the context of the set over which this operation is defined.
For most number systems, multiplications is
Commutative: x*y = y*x for all x and y
Associative: (x*y)*z = x*(y*z) so that , without ambiguity the expression can be written as x*y*z for all x, y and z
Distributive property over addition or subtraction:
x*(y+z) = x*y + x*z for all x, y and z
Identity Element: There exists a unique element, denoted by 1, such that
1*x = x = x*1 for all x
Zero element: there is an element 0, such that x*0 = 0 for all x.
In some sets, an element x also has a multiplicative inverse, denoted by x-1 such that x*x-1 = x-1*x = 1 (the identity).
Properties of multiplications are statements about multiplication that are always true.
there is the asscocitive property,communitave property and the i don't know property
3*29 = 87
1x16, 2x8, 4x4
At most n-1. However, it can be a lot fewer. For example, calculating A10 does not require 9 multiplications. A*A = A2 A2*A2 = A4 A4*A4 = A8 A8*A2 = A10 Only 4 multiplications were required.
Properties of multiplications are statements about multiplication that are always true.
No Willow Smith does not quiet now all her multiplications. She is 10 and in the 5th grade. She is, right now, as you are reading this learning her multiplications.
there is the asscocitive property,communitave property and the i don't know property
lower computational complexity and requires fewer multiplications
1x2 2x1
3*29 = 87
It could be just the multiplications of seven for sevens
1x16, 2x8, 4x4
At most n-1. However, it can be a lot fewer. For example, calculating A10 does not require 9 multiplications. A*A = A2 A2*A2 = A4 A4*A4 = A8 A8*A2 = A10 Only 4 multiplications were required.
If you have ONLY additions, you can add numbers in any order. Similarly, if you have ONLY multiplications, you can multiply in any order. Both rules follow from the commutative and associative properties of addition, and of multiplication, respectively.
Yes, unless you want divisions in the family.
It depends on the expression.