Answer:
The missing number: 6
The property used: Distributive Property of Multiplication
Explanation:
Given the below;
[tex]10\cdot(2+6)=(10\cdot2)+(10\cdot x)[/tex]The below shows an example of the distributive property of multiplication;
[tex]a(b+c)=(a\cdot b)+(a\cdot c)[/tex]Applying the distributive property in the given equation, we can see that;
[tex]x=6[/tex]So the missing number is 6 and the equation can be written as;
[tex]10*(2+6)=(10\cdot2)+(10\cdot6)[/tex]