题目内容

908×501-[731×1389-(547×236+842×731-495×361)]=________

5448
分析:去括号,分步使用分配律进行计算.
解答:原式=908×501-731×1389+(547×236+842×731-495×361)
=908×501-731×1389+547×236+842×731-495×361
=908×501-731×(1389-842)+547×236-495×361
=908×501-731×547+547×236-495×361
=908×501-(731-236)×547-495×361
=908×501-495×547-495×361
=908×501-495×(547+361)
=908×501-495×908
=908×(501-495)
=908×6
=5448.
故本题答案为:5448.
点评:本题考查的是有理数的运算.注意先去括号,观察算式的特点,灵活使用运算律.
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