Question

Using suitable identities, evaluate:
1.05 x 9.5

Answer 1

$1.5\times 0.5$

$=(1+0.5)(1-0.5)$

Using suitable identity $(x+a)(x-b)=x^2+(a+b)x+ab$

where $x=1,a=0.5,b=-0.5$

$=1^2+(0.5-0.5)\times 1+0.5\times -0.5$

$=1+0-0.25=0.75$