Question

5.8×0.45+0.58×4.2+0.058×13的简便运算？

Answer 1

根据观察发现，算式中5.8、0.58、0.058存在倍数关系，可以进行简便运算:
5.8*0.45+0.58*4.2+0.058*13
=0.58*4.5+0.58*4.2+0.58*1.3
=0.58*(4.5+4.2+1.3)
=0.58*10
=5.8

Answer 2

这种题目可以用加减乘除运算的分配律和结合律进行简便计算：
5.8×0.45+0.58×4.2+0.058×13
=0.58x4.5+0.58x4.2+0.58x1.3
=0.58x(4.5+4.2+1.3)
=0.58x10
=5.8

Answer 3

解，原式=5.8x0.45+5.8x0.1x4.2+0.058x100x0.13
=5.8x0.45+5.8x(0.1x4.2)+(0.058x100)x0.13
=5.8x(0.45+0.42+0.13)
=5.8x1
=5.8

Answer 4

5.8×0.45+0.58×4.2+0.058×13
=58×45×0.001+58×42×0.001+58×13×0.001
=58×0.001×（45+42+13）
=58×0.001×100
=58×0.1
=5.8
乘法分配律的逆运算

Answer 5

5.8×0.45+0.58×4.2+0.058×13
＝5.8×0.45+5.8×0.1×4.2+5.8×0.01×13
＝5.8×(0.45+0.42+0.13)
＝5.8×1
＝5.8