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Question

Compute the following differences (10.3×9.7)(10.7×9.3)


  1. 0.8

  2. 0.2

  3. 0.4

  4. 0.6


Solution

The correct option is C

0.4


The given expression is

(10.3×9.7)(10.7×9.3)

=(10+0.3)(100.3)(10+0.7)(100.7)

=[(10)2(0.3)2][(10)2(0.7)2]

=102(0.3)2102+(0.7)2

=(0.7)2(0.3)2

=(0.7+0.3)(0.70.3)

=1×0.4

=0.4

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