用简便方法计算. ①1.25×0.25×32②0.25×3.78×4③6.74×10.1④0.85×99⑤6.8×3.7+6.8×6.3.
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解:(1)1.25×0.25×32,
=(1.25×8)×(0.25×4),
=10×1,
=10;
(2)0.25×3.78×4,
=(0.25×4)×3.78,
=1×3.78,
=3.78;
(3)6.74×10.1,
=6.74×10+6.74×0.1,
=67.4+0.674,
=68.074;
(4)0.85×99,
=0.85×(100-1),
=0.85×100-0.85×1,
=85-0.85,
=84.15;
(5)6.8×3.7+6.8×6.3,
=6.8×(3.7+6.3),
=6.8×10,
=68.
解析分析:(1)1.25×0.25×32,把32分解为8×4,然后运用乘法交换律和结合律进行简算;(2)0.25×3.78×4,运用乘法交换律和结合律进行简算;(3)6.74×10.1,运用乘法分配律进行简算;(4)0.85×99,转化为:0.85×(100-1),再运用乘法分配律进行简算;(5)6.8×3.7+6.8×6.3,运用乘法分配律进行简算.
点评:此题考查的目的是理解掌握乘法交换律、结合律、分配律的意义,并且能够灵活运用乘法的这些运算定律进行简便计算.