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Question

Using appropriate properties find:
23×35+5235×16

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Solution

Given:
23×35+5235×16

=(23×35)+(52)(35×16)

Interchange the second and third terms

=(23×35)(35×16)+(52)

=35×(2316)+52

[Since, Using, distributive property of rational numbers over subtraction:

(a×b)(a×c)=a×(bc)]

=35×((2×2)16)+52

=(35×416)+52

=(35×56)+52

=12+52

=1+52

=42

=2

23×35+5235×16=2


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