Find using distributive property:

(a) 728 × 101 (b) 5437 × 1001


(c) 824 × 25 (d) 4275 × 125


(e) 504 × 35.


Distributive property is,


a (b+c) = ab+ac


(a) 728×101


= 728×(100+1)


= 728 × 100+728×1


= 72800+728 = 73528


(b) 5437×1001


= 5437×(1000+1)


= 5437×1000+5437×1


= 5437000+5437


= 5442437


(c) 824×25


= (800+24)×25


= (800+25-1)×25


= 800×25+25×25-1×25


= 20000+625-25


= 20000+600


= 20600


(d) 4275×125


= (4000+200+100-25)×125


= 4000×125+200×125+100×125-25×125


= 500000+25000+12500-3125


= 534375


(e) 504×35


= (500+4)×35


= 500×35+4×35


= 17500+140


= 17640


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