Ta có : a5c6 = 1000a + 500 + 10c +6 ;4b7d = 4000 + 100b + 70 + d
Nên a5c6 + 4b7d = 4576 + abcd
=> 4576 + abcd > 4570 + abcd
Ta có:
a5c6 + 4b7d
= a x 1000 + 5 x 100 + c x 10 + 6 + 4 x 1000 + b x 100 + 7 x 10 + d
= a000 + 500 + c0 + 6 + 4000 + b00 + 70 + d
= (a000 + b00 + c0 + d) + (500 + 6 + 4000 + 70)
= abcd + 4576
Vì abcd + 4576 > abcd + 4570 nên a5c6 + 4b7d > abcd