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Question

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


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Solution

Given, x=15,y=215 and z=310
Now,

LHS
=x×(y+z)=15×(215+310)=15×(215310)
=15×(4930)
=15×530=130
and
RHS
=x×y+x×z=15×215+(15)×(310)
=275+350=4+9150=5150=130

LHS=RHSx×(y+z)=x×y+x×z
Hence verified.


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