分析:(1)先根据积不变规律把777×9变成111×63,再运用乘法分配律简算;
(2)根据连续减去两个数等于减去这两个数的和;
(3)运用加法结合律简算;
(4)按照从左向右的顺序计算;
(5)运用乘法分配律简算;
(6)先把乘法变成乘法,再运用乘法结合律简算;
(7)运用加法结合律简算;
(8)运用乘法分配律简算;
(9)运用乘法分配律简算;
(10)先把996变成995+1,再运用乘法分配律简算.
解答:解:(1)777×9+111×37,
=111×63+111×37,
=111×(63+37),
=111×100,
=11100;
(2)5-
-
,
=5-(
+
),
=5-1,
=4;
(3)
+
-
+
,
=(
-
)+(
+
),
=
+1,
=1
;
(4)
÷
×5,
=
×5×5,
=3×5,
=15;
(5)72÷1.2+72÷1.8,
=60+40,
=100;
(6)9+3÷7÷6×14,
=9+
×
×14,
=9+
×14×
,
=9+6×
,
=9+1,
=10;
(7)
+
+
+
,
=(
+
)+(
+
),
=
+1,
=1
;
(8)8.4×13-3×8.4,
=8.4×(13-3),
=8.4×10,
=84;
(9)60×(1-
-
),
=60×1-60×
-60×
,
=60-20-30,
=40-30,
=10;
(10)
×996,
=
×(995+1),
=
×995+
×1,
=994+
,
=994
;
故答案为:11100,4,
1,15,100,10,
1,84,10,
994.
点评:运算定律是常用的简便运算的方法,要熟练掌握,灵活运用.