计算：33×34+34×35+35×36+36×37+37×38=______

Question

计算：33×34+34×35+35×36+36×37+37×38=______．

Answer 1

解；33×34+34×35+35×36+36×37+37×38，
=33×（35-1）+34×35+35×36+（35+1）×37+（35+2）×38，
=33×35-33+34×35+35×36+35×37+37+35×38+2×38，
=35×（33+34+36+37+38）-33+37+76，
=35×（200-22）+80，
=7000-770+80，
=6310．

Answer 2

解：
原式=33×（35-1）+34×35+35×36+（35+1）×37+（35+2）×38
=35×（33+34+36+37+38）-33+37+76
=35×178+80
=35×200-35×22+80
=7000-770+80
=6310

技巧：使用平均数计算

Answer 3

33×34+34×35+35×36+36×37+37×38=6310

Answer 4

33×34+34×35+35×36+36×37+37×38=6310