Signing you in…

Multiplication and its properties

The product aba\cdot b (or a×ba\times b) can be read as the sum of bb equal addends, each equal to aa, when b>0b>0 — or as “aa groups of bb objects” (the same number; swapping the order of the factors in a concrete model only changes how you look at the picture). The numbers aa and bb are called factors; the result is the product. Commutative property: ab=baa\cdot b=b\cdot a. Associative property: (ab)c=a(bc)(a\cdot b)\cdot c=a\cdot (b\cdot c). One: a1=1a=aa\cdot 1=1\cdot a=a. Zero: a0=0a=0a\cdot 0=0\cdot a=0.
A product is linked to a sum of equal addends
ab=baa\cdot b=b\cdot a — order of factors
(ab)c=a(bc)(ab)c=a(bc) — parentheses with three factors
a1=aa\cdot 1=a, a0=0a\cdot 0=0
The same product — two ways to group
Content is available with subscription.
Get full access to all courses on the platform for one year with a single payment.
Unlike other platforms that charge per course, here you get everything for one price, and after one year of use there will be no automatic charge for the following year.