Distributive property of 144÷8

Question

Distributive property 

Answer 1

144 / 8 =

 

(1/8)*144 =  <---- writes it as a fraction times 144

 

(1/8)* (2*64 + 2*8 ) =  <--- writes 144 as octal (BASE 8) so that they cancel out

 

  (1/8)(2)(64) + (1/8)(2)(8) = <--- DISTRIBUTIVE PROPERTY

 

 (2)(1/8)(64) + (2)(1/8)(8) =  <---- commutative property

 

(2) (8) + 2  <--- 1/8 cancels 64 by a factor of 8 ; 1/8 cancels 8

 

16 + 2

18