1996×2345-2346×1995簡便計算

1996×2345-2346×1995簡便計算


1996×2345-2346×1995
=(1995+1)x2345-(2345+1)x1995
=1995x2345+2345-2345x1995-1995
=2345-1995
=350



1234+2345+3456+4567+5678+6789+7891+8912+9123的簡便運算


由式子可以看出每個位次上都是1加到9,總和是45,也就是說有45個1000,45個100,45個10,45個11234+2345+3456+4567+5678+6789+7891+8912+9123=(1+2+…+9)*1000+(2+…+9+1)*100+(3+.+9+1+2)*10+(4+.+9+1+2+3)=45…



簡便計算:55×66+66x77+77x88+88x99
不要用*和/,要用÷和×符號,並遞等式列出


55×66+66x77+77x88+88x99
=11×5×11×6+11×6×11×7+11×7×11×8+11×8×11×9
=11×11×(5×6+6×7+7×8+8×9)
=121×(30+42+56+72)
=121×200
=24200



(6.8-6.8*0.55)/8.5簡便計算


(6.8-6.8*0.55)/8.5
=6.8x(1-0.55)÷8.5
=6.8x0.45x2/17(約分得)
=0.4x0.9
=0.36



4.8*0.55/0.5能簡便計算嗎?


4.8*0.55/0.5
=4.8*0.11
=4.8*(0.1+0.01)
=4.8*0.1+4.8*0.01
=0.48+0.048
=0.528



55*(5+8)簡便運算


55*(5+8)=(50+5)*13=50*13+5*13=650+65=715



那999+999乘999的簡算


=999×(1+999)=999×1000=999000



1000分之999乘以100分之1加上1000分之111乘以100分之27用脫式簡便計算式是怎麼算的


999/1000x1/100+111/1000x27/100
=999/1000x1/100+111/1000x9x3/100
=999/1000x(1/100+3/100)
=999/1000x1/25
=999/25000
如果本題有什麼不明白可以追問,



簡算:2分之1+4分之1+8分之1+16分之1+32分之1+64分之1+128分之1=?


1/2+1/4+1/8+1/16+1/32+1/64+1/128 =3/4+1/8+1/16+1/32+1/64+1/128 =7/8+1/16+1/32+1/64+1/128 =15/16+1/32+1/64+1/128 =31/31+1/64+1/128 =63/64+1/128 =127/128.



簡算1+2分之1+4分之1+8分之1+…+64分之1


1+1/2+1/4+1/8+…+1/64
=1+(1-1/2)+(1/2-1/4)+(1/4-1/8)+…+(1/32-1/64)
=1+1-1/2+1/2-1/4+1/4-1/8+…+1/32-1/64
=1+1-1/64
=2-1/64
=127/64