The expression demonstrates distributive property.
Explanation:
The given expression is [tex]17 \times 102[/tex]
Thus, solving the expression results in [tex]1734[/tex]
One student rewrote this expression as [tex]17(100+2)[/tex]
Then, simplified the expression as
[tex]1700+34[/tex]
Thus, [tex]17(100+2)=1700+34[/tex]
The expression demonstrates distributive property and the property can be generally written as
[tex]$a(b+c)=a b+a c$[/tex]
The given expression [tex]17(100+2)[/tex] is of the form [tex]$a(b+c)$[/tex]
Hence, The expression demonstrates distributive property.