Question

求简便运算（要有过程）

9999x1111+3333x667=?19.98x37-199.8x1.9+1998x0.82=？ 3.17-2.74+4.7+5.29-0.26+6.3=? 34.5x8.23+34.5x2.77-34.5=? 0.125x0.25x0.5x64=? 75x4.7+15.9x25=? 172.4x6.2+2724x0.38=? 13.5x9.9+6.5x10.1=? 11.8x43-860x0.09=?

Answer 1

9999x1111+3333x667=3333×3×1111＋3333×667
＝3333×(3333＋667)＝3333×4000＝13332000

19.98x37-199.8x1.9+1998x0.82=19.98×37－19.88×19＋19.98×82
＝19.98×(37－19＋82)＝19.98×100＝1998

3.17-2.74+4.7+5.29-0.26+6.3=3.17－(2.74＋0.26)＋(4.7＋6.3)＋5.29
＝3.17－3＋11＋5.29=0.17＋16.29＝16.46

34.5x8.23+34.5x2.77-34.5=34.5×(8.23＋2.77－1)＝34.5×10＝345

0.125x0.25x0.5x64=0.125x0.25x0.5x(2×4×8)＝(0.125x8)×(0.25x4)×(0.5x2)＝1×1×1＝1

75x4.7+15.9x25=75×4.7＋5.3×3×25＝75×(4.7＋5.3)＝750

172.4x6.2+2724x0.38=1724×0.62＋(1000＋1724)×0.38＝1724×0.62＋3800＋1724×0.38
＝1724×(0.62＋0.38)＋3800＝1724＋3800＝5524

13.5x9.9+6.5x10.1=13.5×(10－0.1)＋6.5×(10＋0.1)＝135－13.5×0.1＋65＋6.5×0.1
＝200－0.1×(13.5－6.5)＝200－0.7＝199.3

11.8x43-860x0.09=11.8×43－43×20×0.09＝43×(11.8－1.8)＝430

Answer 2

9999x1111+3333x667=3333x(3x1111+667)=3333x4000=13332000
2式=19.98x(37+19+82)=19.98x148=148x20-148x0.02=293.04
3式=（4.7+6.3）-（2.74+0.26）+3.17+5.2916.46
4式=34.5x(8.23+2.77-1)=34.5x10=345
5式=0.125x8x0.25x4x0.5x2=1(因为64=8x4x2)
6式=25x(3x4.7+15.9)=25x30=750
7式=172.4x6.2+272,4x3.8=172.4x(6.2+3.8)+100x3.8=2104
8式=10x(13.5+6.5)-13.5+6.5=193
9式=11.8x43-43x1.8=43x(11.8-1.8)=430

Answer 3

9999x1111+3333x667=3333（3333+667）=3333*4000=13332000
19.98x37-199.8x1.9+1998x0.82=19.87（37-19+82）=19.87*100=1987
3.17-2.74+4.7+5.29-0.26+6.3=3.17+5.29+4.7+6.3-2.74-0.26=8.46+11-3=16.46
34.5x8.23+34.5x2.77-34.5=34.5（8.23+2.77-1）=34.5*10=345
0.125x0.25x0.5x64=0.125*8*0.25*4*0.5*2=1*1*1=1
75x4.7+15.9x25=25*3（4.7+5.3）=75*10=750
272.4x6.2+2724x0.38=2724（0.62+0.38）=2724*1=2724
13.5x9.9+6.5x10.1=13.5（10-0.1）+6.5（10+0.1）=135-1.35+65+0.65=200-0.7=199.3
11.8x43-860x0.09=43（11.8-20*0.09）=43*10=430

Answer 4

9999x1111+3333x667
=9999*1111+3333*(666+1)
=9999*1111+9999*(222+1/3)
=9999*(1111+222+1/3)
=(10000-1)(1333+1/3)
=(10000-1)4000/3
=40000 000/3-4000/3
=39996000/3
=13332000
19.98x37-199.8x1.9+1998x0.82
= 19.87*(37-19+82)
=19.87*100
=1987
3.17-2.74+4.7+5.29-0.26+6.3
=(3.17+4.7+5.29+6.3)-(2.74+0.26)
=19.46-3
=16.46
34.5x8.23+34.5x2.77-34.5
=34.5*(8.23+2.77-1)
=34.5*10
=345
0.125x0.25x0.5x64
=0.125*8*0.25*4*0.5*2
=1*1*1
=1
75x4.7+15.9x25
=25*(3*4.7+15.9)
=25*30
=750
172.4x6.2+2724x0.38
=172.4*6.2+172.4*3.8+380
=172.4*10+380
=1724+380
=2104
13.5x9.9+6.5x10.1
=13.5(10-0.1)+6.5*(10+0.1)
=135-1.35+65+0.65
=200-0.65
=199.35 .
11.8x43-860x0.09
=11.8*43-43*1.8
=43*(11.8-1.8)
=430 .