解:①7.77×31.08÷7.77,
=7.77÷7.77×31.08,
=31.08;
②101×0.59,
=(100+1)×0.59,
=100×0.59+1×0.59,
=59+0.59,
=59.59;
③20×
,
=(21-1)×
,
=21×
-
,
=11-
,
=10
;
④2.5×12.5×3.2,
=2.5×12.5×8×0.4,
=(2.5×0.4)×(12.5×8),
=1×100,
=100;
⑤0.84÷14+0.84×
,
=0.84×
+0.84×
,
=0.84×(
+
),
=084×1,
=0.84;
⑥(
+
)×24,
=
×24+
×24,
=20+9,
=29.
分析:①7.77×31.08÷7.77利用乘法的交換律計算;
②101×0.59把101變成100+1,再利用乘法的分配律計算;
③把20變成(21-1),再利用乘法的分配律計算;
④2.5×12.5×3.2把3.2變成8×0.4,再利用乘法的交換律和結(jié)合律變成(2.5×0.4)×(12.5×8)計算;
⑤0.84÷14+0.84×
把0.84÷14變成0.84×
,再利用乘法的分配律計算;
⑥利用乘法的分配律計算簡便.
點評:考查了運算定律與簡便運算,四則混合運算.注意運算順序和運算法則,靈活運用所學(xué)的運算律簡便計算.