Question

1.4×66.6+2.9×99.9有简便运算吗？

Answer 1

这道题想用简便算法。也是可以的。首先，把1.4×66.6+2.9×99.9。转化成1.4×6，再乘以11.1。加上2.9×9再️乘11.1。加号前面的和加号后面的都有11.1，然后利用乘法的分配率把11.1提出来。就变成了十一点一乘以括号，1.4×6+2.9×9括号。就可以利用简便算法啦。

Answer 2

▲1.4×66.6+2.9×99.9
【提取33.3】
=33.3x(1.4x2+2.9x3)
=33.3x(2.8+8.7)
=33.3x11.5
=33.3x(11+0.5)
=366.3+16.65
=382.95
或
▲ 1.4×66.6+2.9×99.9
=0.2x7x66.6+(3-0.1)(100-0.1)
=0.2x466.2+(300-10-0.3+0.01)
=93.24+(300-10.29)
=93.24+289.71
=382.95

Answer 3

1.4×66.6+2.9×99.9
=33.3×（2.8+8.7）
=33.3×11.5
=30×11.5+3×11.5+0.3×11.5
=345+34.5+3.45
=379.5+3.45
=382.95

Answer 4

1.4×66.6+2.9×99.9
=1.4×(2×33.3)+2.9×(3×33.3)
=1.4×2×33.3+2.9×3×33.3
=2.8×33.3+8.7×33.3
=(2.8+8.7)×33.3
=11.5×33.3
=(10+1+0.5)×33.3
=10×33.3+1×33.3+0.5×33.3
=333+33.3+166.5
=382.95

Answer 5

1.4×66.6+2.9×99.9＝33.3×1.4×2+33.3×2.9×3＝33.3×（2.8+8.7）＝33.3×11.5＝382.95