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5x(17x24)简便方法用运算律脱式计算

题目详情
5x(17x24)简便方法用运算律脱式计算
▼优质解答
答案和解析
5 × (17 × 24 )
= 5 × [ ( 20 - 3) × (20 + 4)]
= 5 × [ 20^2 + 20 × 4 - 20 × 3 - 3 × 4]
= 5 × [ 20^2 + 20×(4 - 3) - 12 ]
= 5 × (400 + 20 - 12)
= 5 × (400 + 8)
= 5 × 400 + 5 × 8
= 2000 + 40
= 2040