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