Using distributive property over additional /subtraction in whole number,find the product of each of the following :a.452×108 b.965×1005
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In this problem 108 can be written as 100+8
so 452×108=(100+8)
=452 × (100+8) × 452
=452 × (100=8) × 452 using commutative property
=452 × 100= 452 × 8
=45200+3616= 48816
In this problem 1005 can be written as 1000+5
so 965×1005=(1000+5)
=965× (100+8) ×965
=965 × (1000+5)) ×965 using commutative property
=965 × 1000= 965× 5
=965000+4825=969825
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