Method 1:
Convert the mixed number to the improper fraction:
[tex]1\dfrac{1}{2}=\dfrac{1\cdot2+1}{2}=\dfrac{3}{2}[/tex]
Make the product:
[tex]1\dfrac{1}{2}\cdot2=\dfrac{3}{2}\cdot2[/tex]
canceled 2
[tex]=\dfrac{3}{\not2_1}\cdot\not2^1}=\boxed{3}[/tex]
Method 2:
[tex]1\dfrac{1}{2}=1+\dfrac{1}{2}[/tex]
[tex]1\dfrac{1}{2}\cdot2=\left(1+\dfrac{1}{2}\right)\cdot2[/tex]
use the distributive property a(b + c) = ab + ac
[tex](1)(2)+\left(\dfrac{1}{2}\right)(2)=2+1=\boxed{3}[/tex]
