Question

请教：小学奥数题，小数的运算技巧 ，请写出过程，谢谢！

计算：37.5x21.5x0.112+35.5x12.5x0.112

Answer 1

原式=0.112X（37.5x21.5+35.5x12.5）
=0.112x（3/8x2150+1/8x3550）
=0.112/8x（3x2150+3550）
=0.112/8x10000
=1120/8
=140
既然是考技巧，运算就必须是技巧的，正数银简便的，举宴我觉毕猛得这样是最简便的，不知你觉得怎么样。

Answer 2

原式=(7.5x4.3+7.1x2.5)x0.56x5=(3x4.3+7.1)x(2.5x0.8x0.7x5)=(12.9+7.1)x(2x3.5)=20x7=140
思路胡纯猛：提取公因数，裤桥简化乘法运算
第一步：提取两个5
第二步：提取2.5，右边0.112x5=0.56=0.8x0.7
（提醒：向裤冲楼上那种楞算可能会不得分的）

Answer 3

37.5x21.5x0.112+35.5x12.5x0.112
=3×12·5×21·5×0·112＋悉敏35·5×12·5×0·112
=12·5×0·112×(3×21·5＋键物35·5)
=12·5×0·112×(5×3×4·3＋稿陆液5×7·1)
=12·5×0·112×5×(4·3×3＋7·1)
=12·5×0·112×5×20
=12·5×0·112×100
=12·5×11·2
=12·5×4×2·8
=50×2·8
=140

Answer 4

37.5x21.5x0.112+35.5x12.5x0.112
=0.5x0.5x0.112x(75x43+71x25)
=0.25x(4x0.028)x(25x3x43+71x25)
=(0.25x4)x0.028x25x(3x43+71)
=1x(0.028)x25x200
=(0.014x2)x5000
=0.014x10000
=140

Answer 5

37.5x21.5x0.112+35.5x12.5x0.112
=0.112x(37.5x21.5+35.5x12.5)
=0.112x(806.25+443.75)
=0.112x1250
=140