Tính bằng phương pháp hợp lí:
a) − 1 4 .13 9 11 − 0 , 25.6 2 11
b) 4 9 : − 1 7 + 6 5 9 : − 1 7
1) Tính bằng cách hợp lí:
a) -4/7 + 3/7 + -4/5 + 4/7 - 2334
b) 5/13 + 4/19 + -8/13 + 15/19 + 456
2) Tìm x biết
a) 3/7 - x = -11/14
b) x - 4/9 = -12/9 + 3/18
GIÚP MÌNH VỚI, MIK CẦN GẤP LẮM
1:
a: \(=\dfrac{-4}{7}+\dfrac{4}{7}+\dfrac{3}{7}-\dfrac{23}{34}-\dfrac{4}{5}=\dfrac{3}{7}-\dfrac{23}{34}-\dfrac{4}{5}=-\dfrac{1247}{1190}\)
b:
Sửa đề: \(\dfrac{-5}{13}+\dfrac{4}{19}+\dfrac{-8}{13}+\dfrac{15}{19}+\dfrac{45}{6}\)
\(=\dfrac{-5}{13}-\dfrac{8}{13}+\dfrac{4}{19}+\dfrac{15}{19}+\dfrac{45}{6}=\dfrac{9}{2}\)
Bài 1.( 2 điểm)Tính bằng cách hợp lí:
a) \(\dfrac{1}{2}+\dfrac{9}{10}+\dfrac{5}{6}-\dfrac{11}{14}-\dfrac{1}{3}+\dfrac{-4}{35}\)
b) \(\left(\dfrac{18}{23}+\dfrac{7}{12}\right)+\left(\dfrac{-13}{19}-\dfrac{3}{4}\right)+\left(\dfrac{-6}{19}+\dfrac{5}{23}\right)\)
c) \(\dfrac{4}{3}+\dfrac{-5}{6}+\dfrac{-1}{4}\)
d) \(\dfrac{5}{6}-\dfrac{7}{5}+\dfrac{17}{30}\)
1: \(\dfrac{1}{2}+\dfrac{9}{10}+\dfrac{5}{6}-\dfrac{11}{14}-\dfrac{1}{3}+\dfrac{-4}{35}\)
\(=\left(\dfrac{1}{2}+\dfrac{5}{6}-\dfrac{1}{3}\right)+\dfrac{9}{10}-\left(\dfrac{11}{14}+\dfrac{4}{35}\right)\)
\(=\dfrac{3+5-2}{6}+\dfrac{9}{10}-\dfrac{55+8}{70}\)
\(=1+\dfrac{9}{10}-\dfrac{9}{10}\)
=1
Tính một cách hợp lí:
a) 2 834 + 275 - 2 833 - 265;
b) (11 + 12 + 13) - (1 + 2 + 3).
Tính một cách hợp lí:
a) 2 834 + 275 - 2 833 - 265;
= (2 834 – 2 833) + (275 – 265)
= 1 + 10
= 11
b) (11 + 12 + 13) - (1 + 2 + 3).
= (11 – 1) + (12 – 2) + (13 – 3)
= 10 + 10 + 10
= 30
a) 2834 + 275 - 2833 - 265= 2833+1+275-2833-265=0+1+275-265=11
b) (11 + 12 + 13) - (1 + 2 + 3)=11 + 12 + 13-1-2-3=10+10+10=30
a) 2 834 + 275 - 2 833 - 265
=(275 - 265) + (2 834 - 2 833)
=10 + 1 = 11
b) (11 + 12 +13 ) - (1 + 2 + 3)
= 11 + 12 +13 - 1 - 2 - 3
= (11 - 1) + (12 - 2) +(13 - 3)
=10 +10 +10 =30
Bài 4: Tìm x, biết:
a) 11 + x : 5 = 13 b) 15 + (7 – x) = 19
c) 12 + 3.(x – 5) = 30 d) 17 + (x + 4) : 3 = 21
Bài 5: Tính hợp lí:
a) 120.15 + 12.470 + 12.38.10 b) 13.58.4 + 32.26.2 + 52.10
c) 3,2.990 + 32 d) 45.(13 + 78) + 9.(87 + 22).5
e) (24 + 72 + 36 + 60) : 12
f) (2 + 4 + 6 + … + 100).(36.333 – 108.111)
1.
a.
11 + x : 5 = 13
x : 5 = 13 - 11
x : 5 = 2
x = 2 . 5
x = 10
Bài 4: Tìm x, biết:
a) 11 + x : 5 = 13
x : 5 = 2
x = 10
b) 15 + (7 – x) = 19
7 - x = 4
x = 3
c) 12 + 3.(x – 5) = 30
3 ( x - 5 ) = 18
x - 5 = 6
x = 11
d) 17 + (x + 4) : 3 = 21
( x + 4 ) : 3 = 4
x + 4 = 12
x = 8
Tính một cách hợp lí:
a) \(\dfrac{2}{9}+\dfrac{-3}{10}+\dfrac{-7}{10}\);
b) \(\dfrac{-11}{6}+\dfrac{2}{5}+\dfrac{-1}{6};\)
c) \(\dfrac{-5}{8}+\dfrac{12}{7}+\dfrac{13}{8}+\dfrac{2}{7}.\)
\(a.\)
\(\dfrac{2}{9}+\dfrac{-3}{10}+-\dfrac{7}{10}=\dfrac{2}{9}-1=\dfrac{2}{9}-\dfrac{9}{9}=-\dfrac{7}{9}\)
\(b.\)
\(\dfrac{-11}{6}+\dfrac{2}{5}+\dfrac{-1}{6}=\left(-\dfrac{11}{6}+-\dfrac{1}{6}\right)+\dfrac{2}{5}=-2+\dfrac{2}{5}=\dfrac{-10}{5}+\dfrac{2}{5}=\dfrac{-8}{5}\)
\(c.\)
\(-\dfrac{5}{8}+\dfrac{12}{7}+\dfrac{13}{8}+\dfrac{2}{7}=\left(-\dfrac{5}{8}+\dfrac{13}{8}\right)+\left(\dfrac{12}{7}+\dfrac{2}{7}\right)=1+2=3\)
Tính hợp lí:
a)11+(-13)+15+(-17)
b)(-21)+24+(-27)+31
a) 11 + ( -13 ) + 15 + ( -17 )
= 11 - 13 + 15 - 17 = ( 11 + 15 ) - ( 13 + 17 )
= 26 - 30 = - 4
b) ( -21 ) + 24 + ( -27 ) + 31
= 24 - 21 - 27 + 31 = ( 31 - 21 ) - ( 27 - 24 )
= 10 - 3 =7
chờ A ( 2/3 ; 1 ; 10/7 ; 17/9 ; 26/11 ; 37/13 ; 10/3 ) viết tập hợp sau bằng phương pháp nêu ra tính chất đặc trưng
Tính hợp lí:
a.-3/4+3/7+-1/4+4/9+4/7
b. -7/9.4/11+-7/9.7/11+52/9
c. (21/31+2013/6039)-(44/53-10/31)-9/53
Giúp vs ak!!!
a, -3/4 + 3/7 + -1/4 + 4/9 + 4/7
=(−34+−14)+(37+47)+49(−34+−14)+(37+47)+49
=−1+1+49−1+1+49
=49
b. \(\dfrac{-7}{9}.\dfrac{4}{11}+\dfrac{-7}{9}.\dfrac{7}{11}+\dfrac{52}{9}\)
= \(\dfrac{-7}{9}.\left(\dfrac{4}{11}+\dfrac{7}{11}\right)+\dfrac{52}{9}\)
= \(\dfrac{-7}{9}.1+\dfrac{52}{9}\)
= \(\dfrac{-7}{9}+\dfrac{52}{9}\)
= \(\dfrac{45}{9}\)
Chúc bạn học tốt!! ^^
\(a\)) \(\dfrac{-3}{4}+\dfrac{3}{7}+\dfrac{-1}{4}+\dfrac{4}{9}+\dfrac{4}{7}\)
\(=\left(\dfrac{-3}{4}+\dfrac{-1}{4}\right)+\left(\dfrac{3}{7}+\dfrac{4}{7}\right)+\dfrac{4}{9}\)
\(=-1+1+\dfrac{4}{9}\)
\(=0+\dfrac{4}{9}=\dfrac{4}{9}\)
Tính một cách hợp lí:
a)\(\frac{{ - 3}}{{10}} - 0,125 + \frac{{ - 7}}{{10}} + 1,125\); b)\(\frac{{ - 8}}{3}.\frac{2}{{11}} - \frac{8}{3}:\frac{{11}}{9}\);
a)
\(\begin{array}{l}\frac{{ - 3}}{{10}} - 0,125 + \frac{{ - 7}}{{10}} + 1,125 \\= \left( {\frac{{ - 3}}{{10}} + \frac{{ - 7}}{{10}}} \right) + \left( {1,125 - 0,125} \right)\\ = - 1 + 1 \\= 0\end{array}\)
b)
\(\begin{array}{l}\frac{{ - 8}}{3}.\frac{2}{{11}} - \frac{8}{3}:\frac{{11}}{9} \\= \frac{8}{3}.\frac{{ - 2}}{{11}} - \frac{8}{3}.\frac{9}{{11}}\\ = \frac{8}{3}.\left( {\frac{{ - 2}}{{11}} - \frac{9}{{11}}} \right)\\ =\frac{{ - 8}}{3}.\frac{-11}{11}\\= \frac{8}{3}.\left( { - 1} \right) \\= \frac{{ - 8}}{3}\end{array}\)
Tính bằng cách hợp lí:
a, 387+(-224)+(-87)
b, (-75)+329+(-25)
c, 11+(-13)+15+(-17)
d, (-21)+24+(-27)+31
e, 251 +(-144)+(-151)+(-216)
f, (-137)+77+(-253)+37-47
a: =300-224=76
b: =-100+329=229