Tích của 12 408 với 4 là:
A. 49 602
B. 48 630
C. 48 632
D. 49 632
tính nhanh :
a) -2021.371+2021-(-629)
b) 957.(-37)-137.(-957)
c) -72.(15-49)+15.(-56+72)
d) (451-527)+(527-741-451)
e) (-632+129)-(-17-632+129)
f) 1-3+5-7+9-11+...+97-100
a) -2021.371+2021-(-629)
=2021.(-371)+2021+629
=2021.[-371+1]+629
=2021.(-370)+629
=-747770+629
=-747141
b) 957.(-37)-137.(-957)
=957.(-37)+137.957
=957.[-37+137]
=957.100
=95700
d) (451-527)+(527-741-451)
=451-527+527-741-451
=(451-451)+(-527+527)-741
=0+0-741
=-741
e) (-632+129)-(-17-632+129)
=-632+129+17+632-129
=(-632+632)+(129-12)+17
=0+0+17
=17
thế còn câu f thì sao hả hội con
bài 1:
a) 10\17+5\-13-11\25+7\17-8\13
b) 0,3-93\7-70%0-4\7
c)1\8+1\24+1\48+...+1\2400
d) 3\41-12\17+33\49
-----------------------------
12\41-48\17+132\49
a, \(\dfrac{10}{17}\) + \(\dfrac{5}{-13}\) - \(\dfrac{11}{25}\) + \(\dfrac{7}{17}\) - \(\dfrac{8}{13}\)
= ( \(\dfrac{10}{17}\) + \(\dfrac{7}{17}\)) - ( \(\dfrac{5}{13}\) + \(\dfrac{8}{13}\)) - \(\dfrac{11}{25}\)
= \(\dfrac{17}{17}\) - \(\dfrac{13}{13}\) - \(\dfrac{11}{25}\)
= 1 - 1 - \(\dfrac{11}{25}\)
= - \(\dfrac{11}{25}\)
b, 0,3 - \(\dfrac{93}{7}\) - 70% - \(\dfrac{4}{7}\)
= 0,3 - 0,7 - ( \(\dfrac{93}{7}+\dfrac{4}{7}\))
= - 0,4 - \(\dfrac{97}{7}\)
= - \(\dfrac{2}{5}\) - \(\dfrac{97}{7}\)
= - \(\dfrac{499}{35}\)
c, \(\dfrac{1}{8}\) + \(\dfrac{1}{24}\) + \(\dfrac{1}{48}\)+ ...+ \(\dfrac{1}{2400}\)
= \(\dfrac{1}{2\times4}\) +\(\dfrac{1}{4\times6}\) + \(\dfrac{1}{6\times8}\) +...+ \(\dfrac{1}{48\times50}\)
= \(\dfrac{1}{2}\) \(\times\) ( \(\dfrac{2}{2\times4}\) +\(\dfrac{2}{4\times6}\)+ \(\dfrac{2}{6\times8}\) +...+ \(\dfrac{2}{48\times50}\))
= \(\dfrac{1}{2}\) \(\times\) ( \(\dfrac{1}{2}\) - \(\dfrac{1}{4}\) + \(\dfrac{1}{4}\) - \(\dfrac{1}{6}\) + \(\dfrac{1}{6}\) - \(\dfrac{1}{8}\) +...+ \(\dfrac{1}{48}\) - \(\dfrac{1}{50}\))
= \(\dfrac{1}{2}\) \(\times\) ( \(\dfrac{1}{2}\) - \(\dfrac{1}{50}\))
= \(\dfrac{1}{2}\) \(\times\) \(\dfrac{12}{25}\)
= \(\dfrac{6}{25}\)
Khoanh vào chữ đặt trước câu trả lời đúng:
Số lớn nhất trong các số 49 376 ; 49 736 ; 38 999 ; 48 987
A. 49 376 B. 49 736 C. 38 999 D. 48 987
x + 630 = 586 + 632
Hãy tính \(\dfrac{C}{D}\). Biết C= \(\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+...+\dfrac{1}{48}+\dfrac{1}{49}+\dfrac{1}{50}\) và D= \(\dfrac{1}{49}+\dfrac{2}{48}+\dfrac{3}{47}+...+\dfrac{48}{2}+\dfrac{49}{1}\)
=> D + 49 = (1/49 + 1) + (2/48 + 1) +... (49/1 + 1)
= 50/1 + 50/2 + ... + 50/49
= 50(1/2+1/3+...+1/49) + 50
=> D = 50(1/2 + 1/3 +... + 1/49) + 1
= 50(1/2 + 1/3 +... + 1/49 + 1/50)
=> C/D = 1/50
Tính:
A = (37^3+12^3)/49-37*12
B = (52^3-48^3)/4+52*48
Tinh ti so a/b
A= 1/2+1/3+1/4+.....+1/48+1/49+1/50
B= 1/49+2/48+3/47+.....+48/2+49/1
Tính nhanh :
a)35.18-5.7.28
b)45-5 .(12+9)
c)24.(16-5)-16.(24-5)
d)31.(-18)+31.(-81)-31
e)(-12).47+12.(-52)+(-12)
g)-48+48.(-78)+48.(-21)
i)1-2+3-4+...+49-50
k)5-10+15-20+...+2005-2010
phải k mình mới làm
a)35.18-5.7.28
=35.18-35.28
=35.(18-28)
=35.(-10)
=-350
NHỚ K ĐÓ
Tính nhanh:
A=1/2 + 1/2^2 + 1/2^3 + ... + 1/2^100
B=1×2 + 2×3 + 3×4 +...+ 48×49
C=1^2+2^2+3^2+...+48^2
D=1×49+2×48+3×47+...+48×2+49×1
E=3^2/2×4+3^2/4×6+...+3^2/198×200
Trả lời nhanh nhé!!!
\(A=\dfrac{1}{2}+\dfrac{1}{2^2}+\dfrac{1}{2^3}+...+\dfrac{1}{2^{100}}\\ 2A=1+\dfrac{1}{2}+\dfrac{1}{2^2}+...+\dfrac{1}{2^{99}}\\ 2A-A=\left(1+\dfrac{1}{2}+\dfrac{1}{2^2}+...+\dfrac{1}{2^{99}}\right)-\left(\dfrac{1}{2}+\dfrac{1}{2^2}+\dfrac{1}{2^3}+...+\dfrac{1}{2^{100}}\right)\\ A=1-\dfrac{1}{2^{100}}\)
\(E=\dfrac{3^2}{2\cdot4}+\dfrac{3^2}{4\cdot6}+...+\dfrac{3^2}{198\cdot200}\\ =3^2\cdot\left(\dfrac{1}{2\cdot4}+\dfrac{1}{4\cdot6}+...+\dfrac{1}{198\cdot200}\right)\\ =9\cdot\dfrac{1}{2}\cdot\left(\dfrac{2}{2\cdot4}+\dfrac{2}{4\cdot6}+...+\dfrac{2}{198\cdot200}\right)\\ =\dfrac{9}{2}\cdot\left(\dfrac{1}{2}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{6}+...+\dfrac{1}{198}-\dfrac{1}{200}\right)\\ =\dfrac{9}{2}\cdot\left(\dfrac{1}{2}-\dfrac{1}{200}\right)\\ =\dfrac{9}{2}\cdot\dfrac{99}{200}\\ =\dfrac{891}{400}\)
\(B=1\cdot2+2\cdot3+3\cdot4+...+48\cdot49\\ 3B=1\cdot2\cdot3+2\cdot3\cdot3+3\cdot4\cdot3+...+48\cdot49\cdot3\\ 3B=1\cdot2\cdot\left(3-0\right)+2\cdot3\cdot\left(4-1\right)+3\cdot4\cdot\left(5-2\right)+...+48\cdot49\cdot\left(50-47\right)\\ 3B=1\cdot2\cdot3-0\cdot1\cdot2+2\cdot3\cdot4-1\cdot2\cdot3+3\cdot4\cdot5-2\cdot3\cdot4+...+48\cdot49\cdot50-47\cdot48\cdot49\\ 3B=-0\cdot1\cdot2+\left(1\cdot2\cdot3-1\cdot2\cdot3\right)+\left(2\cdot3\cdot4-2\cdot3\cdot4\right)+...+\left(47\cdot48\cdot49-47\cdot48\cdot49\right)+48\cdot49\cdot50\\ =0+48\cdot49\cdot50\\ =48\cdot49\cdot50\\ B=\dfrac{48\cdot49\cdot50}{3}\\ B=39200\)
Tính :
a) A=373 + 123/49 - 37×12
b) B= 523 - 483/4 + 52×48
a: \(A=\dfrac{\left(37+12\right)\left(37^2+12^2-37\cdot12\right)}{49-37\cdot12}\)
\(=\dfrac{49\cdot1069}{49-37\cdot12}\simeq-132.61\)
b: \(=\dfrac{\left(52-48\right)\left(52^2+48^2+52\cdot48\right)}{4+52\cdot48}\)
\(=\dfrac{4\cdot7504}{4+52\cdot48}=\dfrac{7504}{625}\)