The distributive law of multiplication refers to the multiplication of the sum of two numbers by a number. You can multiply them by this number and then add them. [1] [(a+b) × c=a × c+b × c] (letter representation) [a × c+b × c=(a+b) × c] (letter representation variant) [□ × (△+☆)=△ ×□+☆×□] (graphic representation) [△ ×□+☆×□=□ × (△+☆)] (graphic representation variant)
- Chinese name
- distributive law
- Foreign name
- Multiplicative distribution law
- Applicable fields
- Mathematical multiplication
- Type
- Operational law
Introduction to Laws
Graphical representation | □×(△+☆)=△×□+☆×□ |
Variant (graphical representation) | △×□+☆×□=□×(△+☆) |
Alphabetic representation | （a+b）×c=a×c+b×c |
Variant (letter representation) | a×c+b×c=(a+b)×c |
Content: Generally in Rational number multiplication Multiplying the sum of one number and two numbers is equal to multiplying the number and the two numbers respectively, and then adding the product 
distributive law Example:
25×401
=25×（400+1）
=25×400+25×1
=10000+25
=10025
25×（37+3）
=25×40
=1000
The multiplication distribution law can also be used in the calculation of decimals and fractions: the inverse application of the multiplication distribution law:
Multiplicative distributive Reverse use ： 
distributive law 35×37+65×37
=37×（35+65）
=37×100
=3700
58×55－58×35
=58×（55－35）
=58×20
=1160
