tính nhanh
1+3-5-7+9+11-13-15+17+...-57-59+61+63
Tính nhanh
1×2×3×4×5×6×7×8×9×10×11×12×13×14×15×16×17×18×19×20
Tính :
B=1/1×3×5+1/3×5×7+...+1/47×49×51
C=4/9×11×13+4/11×13×15+...+4/59×61×63
B = 1/4 x( 4/ 1x3x5 +4 /3x5x7 +...+ 4/47x49x51)
= 1/4 x( 1/ 1x3 - 1/3x5 +1/3x5 -1/5x7 +...+ 1/47x49 -1/49x51)
= 1/4 x( 1/1x3 -1/49x51)
= 1/4 x( 1/3 - 1/2499)
= 1/4 x 832/2499
= 208 /2499
Vậy B= 208 /2499
C= 1/ 9x11 -1/ 11x13 +1/ 11x13 -1/ 13x15 +... + 1/ 59x61 -1/61x63
= 1/ 9x11 -1/ 61x63
= 1/99 -1/3843
= 416 /42273
Vậy C= 416 /42273
Tính tổng
e) 371 + 731 – 271 – 531 =
f) 57 + 58 + 59 + 60 + 61 – 17 – 18 – 19 – 20 – 21 =
g) 9 – 10 + 11 – 12 +13 – 14 + 15 – 16 =
e)371+731-271-531
=(371-271)+(731-531)
=100+200
=300
e) = (371-271)+(731-531)
= 100 + 200 = 300
f) (57 - 17)+(58-18)+(59-19)+(60-20)+(61-21)
= 40+40+40+40+40 = 200
g) (9-10)+(11-12)+(13-14)+(15-16)
= -1+(-1)+(-1)+(-1)
= -4
1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+23+24+25+26+27+28+29+30+31+32+33+34+35+36+37+38+39+40+41+42+43+44+45+46+47+48+49+50+51+52+53+54+56+57+58+59+60+61+62+63+64+65+66+67+68+69+70=?
a) 57+58+59+60+61-17-18-19-20-21
b) 9-10+11-12+13-14+15-16
c) -1-2-3-4-5-.....-1999-2000-2001-2002
Thực hiện phép tính:
a) 371 + 731 - 271 - 531
b) 57 + 58 + 59 + 60 +61 - 17 - 18 -19 -20 -21
c) 9 - 10 + 11 - 12 + 13 - 14 + 15 - 16
a) $371+731-271-531$
$=(371-271)+(731-531)$
$=100+200$
$=300$
b) $57+58+59+60+61-17-18-19-20-21$
$=(57-17)+(58-18)+(59-19)+(60-20)+(61-21)$
$=40+40+40+40+40$
$=40\cdot5$
$=200$
c) $9-10+11-12+13-14+15-16$
$=(9-10)+(11-12)+(13-14)+(15-16)$
$=-1+(-1)+(-1)+(-1)$
$=-1\cdot4$
$=-4$
$\text{#}Toru$
Tinh :C=4/9×11×13+4/11×13×15+...+4/59×61×63
\(C=\frac{4}{9.11.13}+\frac{4}{11.13.15}+...+\frac{4}{59.61.63}\)
\(=2\left(\frac{2}{9.11.13}+\frac{2}{11.13.15}+...+\frac{2}{59.61.63}\right)\)
\(=2\left(\frac{1}{9.11}-\frac{1}{11.13}+\frac{1}{11.13}-\frac{1}{13.15}+...+\frac{1}{59.61}-\frac{1}{61.63}\right)\)
\(=2\left(\frac{1}{9.11}-\frac{1}{61.63}\right)\)
\(=2.\frac{416}{42273}\)
\(=\frac{832}{42273}\)
a) 371 + 731 - 271 -531
b) 57 + 58 + 59 + 60 + 61 - 17 - 18 -19 -20 -21
c) 9 - 10 + 11 - 12 + 13 - 14 + 15 - 16
d) - 1 - 2 - 3 - ..... - 2005 - 2006 - 2007
a) tự làm
b) (57-17)+(58-18)+(59-19)+(60-20)+(61-21)=40+40+40+40+40=200
c) (9+15)+(11+13)+(-10-14)+(-12-12-4)=24+24-24-24-4=-4
d)-(1+2+3+.....+2007)=\(-\dfrac{\left(1+2007\right).2007}{2}=-2015028\)