câu 1 bỏ dấu ngoặc rồi tính

( 36 + 79 ) + ( 145 _ 79 _ 36 )

\(=36+79+145-79-36\)

\(=\left(36-36\right)+\left(79-79\right)+145\)\

\(=0+0+145=145\)

10 _ [ 12 _ ( -9 _ 1 ) ]

\(=10-12-10\)

\(=10-10-12\)

\(=0-12=-12\)

( 38 _ 29 + 43) _ ( 43 + 38 )

\(=38-29+43-43-38\)

\(=\left(38-38\right)+\left(43-43\right)-29\)

\(=0+0-29=-29\)

271 _ [ ( -43 ) + 271 _ ( -17 ) ]

\(=271+43-271-17\)

\(=\left(271-271\right)+\left(43-17\right)\)

\(=0+26=26\)

- 144 _ [ 29 _ ( + 144 ) _ ( + 144 )]

\(=-144-19+144+144\)

\(=\left(-144+144+144\right)-19\)

\(=144-19=125\)

đợi mk lm tiếp câu 2 nha .

bài 2 tính tổng các số nguyên

- 18 < hoặc bằng x < hoặc bằng 17

\(\Rightarrow x\in\left\{-18;-17;-16;....;17\right\}\)

tổng \(x=-18+\left(-17\right)+\left(-16\right)+...+17=-18\)

- 27 < hoặc bằng x < hoặc bằng 27

\(\Rightarrow x\in\left\{-27;-26;-25;..;27\right\}\)

Tổng \(x=-27+\left(-26\right)+\left(-25\right)+...+27=0\)

câu 3 tìm x

- 16 + 23 + x = -16

\(x=-16-23+16\)

\(x=-23\)

2x _ 35 = 15

\(2x=15+35\)

\(2x=50\)

\(x=25\)

3x + 17 = 12

\(3x=29\)

\(x=\frac{29}{3}\)

dấu giá trị tuyệt đối x - 1 dấu giá trị tuyệt đối = 0

\(\Rightarrow x-1=0\)

\(x=1\)

- 13 nhân dấu giá trị tuyệt đối  x dấu giá trị tuyệt đối = -26

\(|x|=-26:\left(-13\right)\)

\(|x|=2\)

\(\Rightarrow x\in\left\{\pm2\right\}\)

câu 4 tính hợp lí

35 nhân 18 _ 5 nhân 7 nhân 28

\(=35.18-35.28\)

\(=35.\left(18-28\right)\)

\(=35.\left(-10\right)\)

\(=-350\)

45 _ 5 nhân ( 12 + 9 )

\(=45-5.21\)

\(=45-105=-60\)

24 nhân ( 16 _ 5 ) _ 16 nhân ( 24 _ 5 )

\(=24.16-24.5-16.24+16.5\)

\(=24.\left(16-16\right)+5.\left(-24+16\right)\)

\(=24.0+5.\left(-8\right)\)

\(=0-40=-40\)

29 nhân ( 19 _ 13 ) _ 19 nhân ( 29 _ 13 )

\(=29.19-29.13-19.29+19.13\)

\(=19.\left(29-29\right)+13.\left(-29+19\right)\)

\(=19.0+13.\left(-10\right)\)

\(=0+\left(-130\right)=-130\)

31 nhân ( -18 ) + 31 nhân ( -81 ) _ 31

\(=31.\left[\left(-18\right)+\left(-81\right)-1\right]\)

\(=31.\left(-100\right)=-3100\)

( - 12) nhân 47 + ( -12 ) nhân 52 + ( -12 )

\(=\left(-12\right).\left(47+52+1\right)\)

\(=\left(-12\right).100=-1200\)

13 nhân ( 23 + 22 ) _ 3 nhân ( 17 + 28 )

\(=13.45-3.45\)

\(=45.\left(13-3\right)\)

\(=45.10=450\)

- 48 + 48 nhân ( -78 ) + 48 nhân ( -21)

\(=48.\left(-1-78-21\right)\)

\(=48.\left(-100\right)\)

\(=-4800\)

1.3.77−1​+3.7.99−3​+7.9.1313−7​+9.13.1515−9​+\frac{19-13}{13.15.19}+13.15.1919−13​

=\frac{1}{1.3}-\frac{1}{3.7}+\frac{1}{3.7}-\frac{1}{7.9}+\frac{1}{7.9}-\frac{1}{9.13}+\frac{1}{9.13}-\frac{1}{13.15}+\frac{1}{13.15}-\frac{1}{15.19}=1.31​−3.71​+3.71​−7.91​+7.91​−9.131​+9.131​−13.151​+13.151​−15.191​

=\frac{1}{1.3}-\frac{1}{15.19}=\frac{95}{285}-\frac{1}{285}=\frac{94}{285}=1.31​−15.191​=28595​−2851​=28594​

b,=\frac{1}{6}.\left(\frac{6}{1.3.7}+\frac{6}{3.7.9}+\frac{6}{7.9.13}+\frac{6}{9.13.15}+\frac{6}{13.15.19}\right)b,=61​.(1.3.76​+3.7.96​+7.9.136​+9.13.156​+13.15.196​)

làm giống như trên

c,=\frac{1}{8}.\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+\frac{1}{3.4.5}+...+\frac{1}{48.49.50}\right)c,=81​.(1.2.31​+2.3.41​+3.4.51​+...+48.49.501​)

=\frac{1}{16}.\left(\frac{2}{1.2.3}+\frac{2}{2.3.4}+\frac{2}{3.4.5}+...+\frac{2}{48.49.50}\right)=161​.(1.2.32​+2.3.42​+3.4.52​+...+48.49.502​)

=\frac{1}{16}.\left(\frac{3-1}{1.2.3}+\frac{4-2}{2.3.4}+\frac{5-3}{3.4.5}+...+\frac{50-48}{48.49.50}\right)=161​.(1.2.33−1​+2.3.44−2​+3.4.55−3​+...+48.49.5050−48​)

=\frac{1}{16}.\left(\frac{1}{1.2}-\frac{1}{2.3}+\frac{1}{2.3}-\frac{1}{3.4}+\frac{1}{3.4}-\frac{1}{4.5}+...+\frac{1}{48.49}-\frac{1}{49.50}\right)=161​.(1.21​−2.31​+2.31​−3.41​+3.41​−4.51​+...+48.491​−49.501​)

=\frac{1}{16}.\left(\frac{1}{2}-\frac{1}{2450}\right)=\frac{1}{16}.\left(\frac{1225}{2450}-\frac{1}{2450}\right)=\frac{153}{4900}=161​.(21​−24501​)=161​.(24501225​−24501​)=4900153​

d,=\frac{5}{7}.\left(\frac{7}{1.5.8}+\frac{7}{5.8.12}+\frac{7}{8.12.15}+...+\frac{7}{33.36.40}\right)d,=75​.(1.5.87​+5.8.127​+8.12.157​+...+33.36.407​)

=\frac{5}{7}.\left(\frac{8-1}{1.5.8}+\frac{12-5}{5.8.12}+\frac{15-8}{8.12.15}+...+\frac{40-33}{33.36.40}\right)=75​.(1.5.88−1​+5.8.1212−5​+8.12.1515−8​+...+33.36.4040−33​)

=\frac{5}{7}.\left(\frac{1}{1.5}-\frac{1}{5.8}+\frac{1}{5.8}-\frac{1}{8.12}+\frac{1}{8.12}-\frac{1}{12.15}+...+\frac{1}{33.36}-\frac{1}{36.40}\right)=75​.(1.51​−5.81​+5.81​−8.121​+8.121​−12.151​+...+33.361​−36.401​)

=\frac{5}{7}.\left(\frac{1}{5}-\frac{1}{1440}\right)=\frac{5}{7}.\left(\frac{288}{1440}-\frac{1}{1440}\right)=\frac{41}{288}=75​.(51​−14401​)=75​.(1440288​−14401​)=28841​

P/S: . là nhân nha

À quên mọi người tính nhanh nhé !

a) \(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}\)

\(=1-\frac{1}{4}\)

\(=\frac{3}{4}\)

b) \(\frac{4}{7}\times\frac{8}{9}+\frac{4}{7}\times\frac{1}{9}\)

\(=\frac{4}{7}\times\left(\frac{8}{9}+\frac{1}{9}\right)\)

\(=\frac{4}{7}\times1\)

\(=\frac{4}{7}\)

c) \(\frac{13}{6}\times\frac{3}{8}-\frac{3}{8}\times\frac{7}{6}\)

\(=\frac{3}{8}\times\left(\frac{13}{6}-\frac{7}{6}\right)\)

\(=\frac{3}{8}\times1\)

\(=\frac{3}{8}\)

d) \(\frac{1}{1x2}+\frac{1}{2x3}+\frac{1}{3x4}+...+\frac{1}{9x10}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{9}-\frac{1}{10}\)

\(=1-\frac{1}{10}\)

\(=\frac{9}{10}\)

a) Bạn tự làm :V

b) \(\frac{4}{7}\times\frac{8}{9}+\frac{4}{7}\times\frac{1}{9}\)

\(=\frac{4}{7}\times\left(\frac{8}{9}+\frac{1}{9}\right)\)

\(=\frac{4}{7}\times1\)

\(=\frac{4}{7}\)

c) \(\frac{13}{6}\times\frac{3}{8}-\frac{3}{8}\times\frac{7}{6}\)

\(=\frac{3}{8}\times\left(\frac{13}{6}-\frac{7}{6}\right)\)

\(=\frac{3}{8}\times1\)

\(=\frac{3}{8}\)

d) Bạn tự làm :v

a: =35/17-18/17-9/5+4/5

=1-1=0

b: =-7/19(3/17+8/11-1)

=7/19*18/187=126/3553

c: =26/15-11/15-17/3-6/13

=1-6/13-17/3

=7/13-17/3=-200/39

Các bạn giúp mình với mình đang cần gấp lắm

\(\frac{7}{3}.9-\frac{9}{4}.5+\frac{11}{5}.6-\frac{13}{6}.7+\frac{15}{7}.8-\frac{17}{8}.9+\frac{19}{9}.10\)

\(=21-\frac{45}{4}+\frac{66}{5}-\frac{91}{6}+\frac{120}{7}-\frac{153}{8}+\frac{190}{9}\)

\(=26,91230159\)

Lớp mấy đó

a, \(3\left(x-1\right)-\left(2x+3\right)=5\)

\(\Rightarrow3x-3-2x-3=5\)

\(\Rightarrow x-6=5\)

\(\Rightarrow x=11\)

b, \(\frac{6}{13}=\frac{x}{7}\)

\(\Rightarrow x=\frac{6}{13}.7\)

\(\Rightarrow x=\frac{42}{13}\)

c, \(|x|=4\)

\(\Rightarrow x=4\)hoặc \(x=-4\)

d,, \(|x-2|+5=10\)

\(Th1:x-2>0\)

\(\Rightarrow x-2+5=10\)

\(\Rightarrow x+3=10\)

\(\Rightarrow x=7\)

\(Th2;x-2< 0\)

\(\Rightarrow2-x+5=10\)

\(\Rightarrow7-x=10\)

\(\Rightarrow x=-3\)

e, \(3|x-1|-6=9\)

\(Th1:x-1>0\)

\(\Rightarrow3\left(x-1\right)-6=9\)

\(\Rightarrow3x-3-6=9\)

\(\Rightarrow3x-9=9\)

\(\Rightarrow3x=18\)

\(\Rightarrow x=6\)

\(Th2:x-1< 0\)

\(\Rightarrow3\left(1-x\right)-6=9\)

\(\Rightarrow3-3x-6=9\)

\(\Rightarrow-3x-3=9\)

\(\Rightarrow-3x=12\)

\(\Rightarrow x=-4\)