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