Question 110(iv)
Verifty the property x×(y+z)=x×y+x×z of rational numbers by taking
x=−15,y=215 and z=−310
Given, x=−15,y=215 and z=−310
Now,
LHS
=x×(y+z)=−15×(215+−310)=−15×(215−310)
=−15×(4−930)
=−15×−530=130
and
RHS
=x×y+x×z=−15×215+(−15)×(−310)
=−275+350=−4+9150=5150=130
∴LHS=RHS⇒x×(y+z)=x×y+x×z
Hence verified.