分析:(1)先算小括號里面的減法,再算括號外的乘法,最后算括號外的減法;
(2)先把101分解成100+1,再運用乘法分配律簡算;
(3)根據減法的性質簡算;
(4)先算除法,再算加法;
(5)運用乘法交換律簡算;
(6)先把24分解成8×3,再根據除法的性質簡算.
解答:解:(1)21×(259-249)÷5,
=21×10÷5,
=210÷5,
=42;
(2)96×101,
=96×(100+1),
=96×100+96×1,
=9600+96,
=9696;
(3)487-139-287-61,
=(487-287)-(139+61),
=200-200,
=0;
(4)480÷12+36,
=40+36,
=76;
(5)25×72×4,
=25×4×72,
=100×72,
=7200;
(6)720÷24,
=720÷(8×3),
=720÷8÷3,
=90÷3,
=30.
點評:本題考查了四則混合運算,注意運算順序和運算法則,靈活運用所學的運算定律進行簡便計算.