Tính nhanh:
a) − 5 11 + − 6 11 + 2
b) − 1 32 + 1 2 + − 15 32
Tính nhanh:
a 3/7 - 4/11 - 3/7 b -5/11 + 3/8 -6/11 c 3/4 - 1/3 - 11/4 giup mình v ạ mai mình đi học rồi
a) \(\dfrac{3}{7}-\dfrac{4}{11}-\dfrac{3}{7}\)
=\(\left(\dfrac{3}{7}-\dfrac{3}{7}\right)-\dfrac{4}{11}\)
\(=-\dfrac{4}{11}\)
b) \(-\dfrac{5}{11}+\dfrac{3}{8}-\dfrac{6}{11}\)
\(=\left(-\dfrac{5}{11}-\dfrac{6}{11}\right)+\dfrac{3}{8}\)
\(=-1+\dfrac{3}{8}=-\dfrac{8}{8}+\dfrac{3}{8}=-\dfrac{5}{8}\)
c) \(\dfrac{3}{4}-\dfrac{1}{3}-\dfrac{11}{4}\)
\(=\left(\dfrac{3}{4}-\dfrac{11}{4}\right)-\dfrac{1}{3}\)
\(=-2-\dfrac{1}{3}=-\dfrac{6}{3}-\dfrac{1}{3}=-\dfrac{7}{3}\)
`a, 3/7 -4/11-3/7`
`=(3/7-3/7)-4/11`
`= 0/7-4/11`
`= -4/11`
__
`b, -5/11 +3/8 -6/11`
`=(-5/11-6/11)+3/8`
`=-11/11 + 3/8`
`= -1+3/8`
`= -8/8+3/8`
`=- 5/8`
__
`c,3/4 -1/3-11/4`
`=(3/4-11/4)-1/3`
`= -8/4-1/3`
`=-2-1/3`
`= -6/3-1/3`
`=-7/3`
Tính nhanh:
A,375–175+369-169+363-163+…+207-7
B,24-11+32-19+40-27+…+336-323
C,5-2+8-4+11-6+…+140-92
D,300-285+295-278+290-271+…+100-5+10
a: =(375-175)+(369-169)+...+(207-7)
=200+200+...+200
=200*[(375-207)/2+1]
\(=200\cdot85=17000\)
b: \(=\left(24-11\right)+\left(32-19\right)+\left(40-27\right)+...+\left(336-323\right)\)
\(=13\cdot\left[\left(336-24\right):8+1\right]=13\cdot40=520\)
c: \(=\left(5-2\right)+\left(8-4\right)+\left(11-6\right)+...+\left(140-92\right)\)
=3+4+5+...+48
Số số hạng là (48-3):1+1=45+1=46(số)
Tổng là: (48+3)*46/2=51*23=1173
d: \(=\left(300-285\right)+\left(295-278\right)+\left(290-271\right)+...+\left(100-5\right)+10\)
=15+17+19+...+95+10
Số số lẻ trong khoảng từ 15 đến 95 là:
(95-15):2+1=41(số)
Tổng của dãy số trên là:
10+(95+15)*41/2
=10+55*41
=2265
B4: Tính nhanh:
a, \(12.\dfrac{-7}{11}.\dfrac{5}{6}.\dfrac{22}{7}\)
b, \(\dfrac{-8}{15}.\dfrac{7}{9}.\dfrac{5}{8}.\left(-18\right)\)
\(a,12.\dfrac{-7}{11}.\dfrac{5}{6}.\dfrac{22}{7}=\left(12.\dfrac{5}{6}\right)\left(\dfrac{-7}{11}.\dfrac{22}{7}\right)=10.\left(-2\right)=-20\\ b,\dfrac{-8}{15}.\dfrac{7}{9}.\dfrac{5}{8}.\left(-18\right)=\left(\dfrac{-8}{15}.\dfrac{5}{8}\right)\left[\dfrac{7}{9}.\left(-18\right)\right]=\dfrac{-1}{3}.\left(-14\right)=\dfrac{14}{3}\)
a) 12.−711.56.227= (12.56)(−711.227)= 10.(−2)= −20.
b) −815.79.58.(−18)= (−815.58)[79.(−18)]= −13.(−14)= 143.
Tính nhanh:A=1003.2005-1002/1003+2005.1002.5-5/11+5/7-5/17+5/2004/13/2004-13/17+13/7-13/11+13
Tính nhanh:
a)\(\frac{{13}}{{23}}.\frac{7}{{11}} + \frac{{10}}{{23}}.\frac{7}{{11}};\)
b) \(\frac{5}{9}.\frac{{23}}{{11}} - \frac{1}{{11}}.\frac{5}{9} + \frac{5}{9}\)
c)\(\left[ {\left( { - \frac{4}{9}} \right) + \frac{3}{5}} \right]:\frac{{13}}{{17}} + \left( {\frac{2}{5} - \frac{5}{9}} \right):\frac{{13}}{{17}};\)
d) \(\frac{3}{{16}}:\left( {\frac{3}{{22}} - \frac{3}{{11}}} \right) + \frac{3}{{16}}:\left( {\frac{1}{{10}} - \frac{2}{5}} \right)\)
a)
\(\begin{array}{l}\frac{{13}}{{23}}.\frac{7}{{11}} + \frac{{10}}{{23}}.\frac{7}{{11}}\\ = \frac{7}{{11}}.\left( {\frac{{13}}{{23}} + \frac{{10}}{{23}}} \right)\\ = \frac{7}{{11}}.\frac{23}{23}\\ = \frac{7}{{11}}.1\\ = \frac{7}{{11}}\end{array}\)
b)
\(\begin{array}{l}\frac{5}{9}.\frac{{23}}{{11}} - \frac{1}{{11}}.\frac{5}{9} + \frac{5}{9}\\ = \frac{5}{9}.\left( {\frac{{23}}{{11}} - \frac{1}{{11}} + 1} \right)\\ = \frac{5}{9}.\left( {2 + 1} \right)\\ = \frac{5}{9}.3 = \frac{5}{3}\end{array}\)
c)
\(\begin{array}{l}\left[ {\left( { - \frac{4}{9} + \frac{3}{5}} \right):\frac{{13}}{{17}}} \right] + \left( {\frac{2}{5} - \frac{5}{9}} \right):\frac{{13}}{{17}}\\ = \left( { - \frac{4}{9} + \frac{3}{5}} \right).\frac{{17}}{{13}} + \left( {\frac{2}{5} - \frac{5}{9}} \right).\frac{{17}}{{13}}\\ = \frac{{17}}{{13}}.\left( { - \frac{4}{9} + \frac{3}{5} + \frac{2}{5} - \frac{5}{9}} \right)\\ = \frac{{17}}{{13}}.\left[ {\left( { - \frac{4}{9} - \frac{5}{9}} \right) + \left( {\frac{3}{5} + \frac{2}{5}} \right)} \right]\\ =\frac{{17}}{{13}}. (\frac{-9}{9}+\frac{5}{5})\\= \frac{{17}}{{13}}.\left( { - 1 + 1} \right)\\ = \frac{{17}}{{13}}.0 = 0\end{array}\)
d)
\(\begin{array}{l}\frac{3}{{16}}:\left( {\frac{3}{{22}} - \frac{3}{{11}}} \right) + \frac{3}{{16}}:\left( {\frac{1}{{10}} - \frac{2}{5}} \right)\\ = \frac{3}{{16}}:\left( {\frac{3}{{22}} - \frac{6}{{22}}} \right) + \frac{3}{{16}}:\left( {\frac{1}{{10}} - \frac{4}{{10}}} \right)\\ = \frac{3}{{16}}:\frac{{ - 3}}{{22}} + \frac{3}{{16}}:\frac{{ - 3}}{{10}}\\ = \frac{3}{{16}}.\frac{{ - 22}}{3} + \frac{3}{{16}}.\frac{{ - 10}}{3}\\ = \frac{3}{{16}}.\left( {\frac{{ - 22}}{3} + \frac{{ - 10}}{3}} \right)\\ = \frac{3}{{16}}.\frac{{ - 32}}{3}\\ = - 2\end{array}\)
Tính nhanh:
a) \(2.\frac{3}{7}+\left(\frac{2}{9}-1\frac{3}{7}\right)-\frac{5}{3}:\frac{1}{9}\)
b) \(\frac{-11}{23}.\frac{6}{7}+\frac{8}{7}.\frac{-11}{23}-\frac{1}{23}\)
c )\(\left(\frac{377}{-231}-\frac{123}{89}+\frac{34}{791}\right).\left(\frac{1}{6}-\frac{1}{8}-\frac{1}{24}\right)\)
d) \(19\frac{5}{8}:\frac{7}{12}-15\frac{1}{4}:\frac{7}{12}\)
e) \(\frac{2}{5}.\frac{1}{3}-\frac{2}{15}:\frac{1}{5}+\frac{3}{5}.\frac{1}{3}\)
a: \(=\dfrac{17}{7}+\dfrac{2}{9}-\dfrac{10}{7}-\dfrac{5}{3}\cdot9=1+\dfrac{2}{9}-15=-14+\dfrac{2}{9}=-\dfrac{126}{9}+\dfrac{2}{9}=-\dfrac{124}{9}\)
b: \(=\dfrac{-11}{23}\left(\dfrac{6}{7}+\dfrac{8}{7}\right)-\dfrac{1}{23}=\dfrac{-22}{23}-\dfrac{1}{23}=-1\)
c: \(=\left(\dfrac{377}{-231}-\dfrac{123}{89}+\dfrac{34}{791}\right)\cdot\dfrac{4-3-1}{24}=0\)
d: \(=\dfrac{12}{7}\left(19+\dfrac{5}{8}-15-\dfrac{1}{4}\right)=\dfrac{12}{7}\cdot\dfrac{35}{8}=\dfrac{15}{2}\)
Tính nhanh:
a) -37 +54 +(- 70)+(- 163)+246
b)-359 +181+(-123)+350+(-172)
c)-69 +53 + 46 +(- 94)+(- 14) + 78
d)13 -12 +11 +10 -9 + 8 -7 -6 +5 - 4 +3 +2 -1
a: =17-70-163+246
=-43-163+246
=246-206
=40
Bài 1. Tính nhanh:
a) 45 + (- 28) + (- 6) + 27 + 11 + (-35)
b) 305 + (- 246) + (- 105) + 546
c) 435 + (- 43) + (- 483) + (-57) + 383 + (- 415)
d) 1316 + 317 + (-1216) + (- 315) + (- 85)
b: \(305+\left(-105\right)+\left(-246\right)+546\)
\(=200+300\)
=500
c: \(435+\left(-43\right)+\left(-483\right)+\left(-57\right)+383+\left(-415\right)\)
\(=20-100-100\)
=-180
Bài 1. Tính nhanh:
a) 45 + (- 28) + (- 6) + 27 + 11 + (-35)
b) 305 + (- 246) + (- 105) + 546
c) 435 + (- 43) + (- 483) + (-57) + 383 + (- 415)
d) 1316 + 317 + (-1216) + (- 315) + (- 85)
d: \(1316+317+\left(-1216\right)+\left(-315\right)+\left(-85\right)\)
\(=100-2-85\)
=13
a.Tính nhanh:A=1003.2005-1002/1003+2005.1002.5-5/11+5/7-5/17+5/2004/13/2004-13/17+13/7-13/11+13