Evaluate the following products without multiplying directly: (i) 103 × 107 (ii) 95 × 96 (iii) 104 × 96
Answers
Answered by
15
1)103×107=(100+3)(100+7)
=(100)^2+(3+7)100+3*7
=10000+1000+21
=11021
2)95×96=(90+5)(90+6)
=(90)^2+(5+6)90+5×6
=8100+990+30
=9120
3)104*96=(100+4)(100-4)=100^2-4^2
=10000-16
=9984
=(100)^2+(3+7)100+3*7
=10000+1000+21
=11021
2)95×96=(90+5)(90+6)
=(90)^2+(5+6)90+5×6
=8100+990+30
=9120
3)104*96=(100+4)(100-4)=100^2-4^2
=10000-16
=9984
Answered by
6
1. (100+ 3)(100+7) [ Writing 103 as 100+3 and 107 as 100+7]
=(100) square +(3+7)100+3×7
=10000+10×1000+21
11021
(by using this identity (x+a)(x+b)
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