| 586×124+29×586-586×53 | 21×( + + + ) |
| 28×5+2×4×35+21×20+14×40+8×62 | + + + + + + . |
=(124+29-53)×586,
=100×586,
=58600;
(2)21×(
+
+
+
),=21×
+21×
+21×
+21×
,=9+7+4+10,
=16+4+10,
=30;
(3)28×5+2×4×35+21×20+14×40+8×62,
=28×5+2×4×7×5+3×7×4×5+14×2×20+8×62,
=28×5+28×10+28×15+28×20+8×62,
=28×(5+10+15+20)+8×62,
=28×50+8×62,
=1400+496,
=1896;
(4)
+
+
+
+
+
+
,=(5
+4
)+(1
+6
)+(3
+
),=9
+8+4,=21
.分析:(1)(2)运用乘法分配律简算;
(3)先把前4组乘法变形后都出现相同的因数28,再运用乘法分配律简算;
(4)根据加法交换律和结合律简算.
点评:简算时看到此类“几个乘法相加减”的题,先观察这几个乘法有没有相同因数,或者能不能转化出相同因数.