30.5*29.5, Evaluate the given product without actual multiplication.
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Solution :
Given 30.5 × 29.5
= ( 30 + 0.5 )( 30 - 0.5 )
= ( 30 )² - ( 0.5 )²
[ By the algebraic identity ,
( a + b )( a - b ) = a² - b² ]
= 900 - 0.25
= 899.75
Or
= 899 3/4
••••
Given 30.5 × 29.5
= ( 30 + 0.5 )( 30 - 0.5 )
= ( 30 )² - ( 0.5 )²
[ By the algebraic identity ,
( a + b )( a - b ) = a² - b² ]
= 900 - 0.25
= 899.75
Or
= 899 3/4
••••
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