Q

Evaluate the following product without multiplying directly: (i) 103 x 107

2.(i)  Evaluate the following product without multiplying directly:

(i)    $103 \times 107$

Views

We can rewrite  $103 \times 107$  as

$\Rightarrow 103 \times 107= (100+3)\times (100+7)$

We will use identity

$(x+a)(x+b)=x^2+(a+b)x+ab$

Put  $x =100 , a=3 \ \ and \ \ b = 7$

$(100+3)\times (100+7)= (100)^2+(3+7)100+3\times 7$

$=10000+1000+21= 11021$

Therefore, value of $103 \times 107$  is  $11021$

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