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1. Tính tổng
a) ( - 24 ) + 6 + 10 +24
= [ ( -24 ) + 24 ] + ( 6 + 10)
= 0 + 16
= 16
b) 15 + 23 + ( - 25 ) + ( - 23 )
= (15 + 25 ) + [23 + ( -23 ) ]
= 40 + 0
= 40
c) ( - 3 ) + ( - 350 ) + ( - 7 ) + 350
= [ ( -3 ) + ( -7 ) ] + [ ( -350 ) + 350 ]
= -10 + 0
= -10
d) ( - 9 ) + ( - 11 ) + 21 + ( - 1 )
= [ (-9) + (-1) ] + [ (-11) + 21 ]
= -10 + 10
= 0
2. Đơn giản biểu thức
a) x + 25 + ( - 17 ) + 63
= x + ( 25 - 17 + 63 )
= x + 71
b) ( - 75 ) - ( p + 20 ) + 95
= -75 - p - 20 + 95
= ( -75 - 20 + 95 ) - p
= 0 - p
= -p
3. Tính nhanh các tổng sau
a) ( 5674 - 97 ) - 5674
= 5674 - 94 - 5674
= ( 5674 - 5674 ) -94
= 0 - 94
= -94
b) (- 1075 ) - ( 29 - 1075 )
=-1075 - 29 + 1075
= ( -1075 + 1075 ) - 29
= 0 - 29
= -29
4. Bỏ dấu ngoặc rồi tính
a ) ( 18 + 29 ) + ( 158 - 18 - 29 )
= 18 + 29 + 158 - 18 - 29
= ( 18 - 18 ) + ( 29 - 29 ) + 158
= 0 + 0 + 158
= 158
b ) ( 13 - 135 + 49 ) - ( 13 + 49 )
= 13 - 135 + 49 - 13 - 49
= ( 13 - 13 ) + ( 49 - 49 ) - 135
= 0 + 0 - 135
= -135
Bài 1:
\(\frac{3}{5}+\frac{4}{15}=\frac{9}{15}+\frac{4}{15}=\frac{13}{15}\)
\(\frac{5}{6}:\frac{-7}{12}=\frac{5}{6}.\frac{-12}{7}=\frac{-60}{42}=\frac{-10}{7}\)
\(\frac{-21}{24}:\frac{-14}{8}=\frac{-21}{24}.\frac{-8}{14}=\frac{168}{336}=\frac{1}{2}\)
\(\frac{4}{5}:\frac{-8}{15}=\frac{4}{5}.\frac{-15}{8}=\frac{-60}{40}=\frac{-3}{2}\)
\(\frac{5}{12}-\frac{-7}{6}=\frac{5}{12}+\frac{7}{6}=\frac{5}{12}+\frac{14}{12}=\frac{19}{12}\)
\(\frac{-15}{16}.\frac{8}{25}=\frac{-120}{400}=\frac{-3}{10}\)
Bài 2 :
\(6\frac{4}{5}-\left(1\frac{2}{3}+3\frac{4}{5}\right)\)
\(=\frac{34}{5}-\left(\frac{5}{3}+\frac{19}{5}\right)\)
\(=\frac{34}{5}-\frac{5}{3}-\frac{19}{5}\)
\(=\left(\frac{34}{5}-\frac{19}{5}\right)-\frac{5}{3}\)
\(=3-\frac{5}{3}\)
\(=\frac{4}{3}\)
\(6\frac{5}{7}-\left(1\frac{2}{3}+2\frac{5}{7}\right)\)
\(=\frac{47}{7}-\left(\frac{5}{3}+\frac{19}{7}\right)\)
\(=\frac{47}{7}-\frac{5}{3}-\frac{19}{7}\)
\(=\left(\frac{47}{7}-\frac{19}{7}\right)-\frac{5}{3}\)
\(=4-\frac{5}{3}\)
\(=\frac{7}{3}\)
\(\frac{4}{19}.\frac{-3}{7}+\frac{-3}{7}.\frac{15}{19}+\frac{5}{7}\)
\(=\left(\frac{4}{19}+\frac{15}{19}\right).\frac{-3}{7}+\frac{5}{7}\)
\(=1.\frac{-3}{7}+\frac{5}{7}\)
\(=\frac{-3}{7}+\frac{5}{7}\)
\(=\frac{2}{7}\)
\(\frac{5}{9}.\frac{7}{13}+\frac{5}{9}.\frac{9}{13}-\frac{5}{9}.\frac{3}{13}\)
\(=\frac{5}{9}.\left(\frac{7}{13}+\frac{9}{13}-\frac{3}{13}\right)\)
\(=\frac{5}{9}.1\)
\(=\frac{5}{9}\)
c) \(D=2000\cdot2000-1998\cdot2002\)
\(D=2000^2-\left(2000-2\right)\left(2000+2\right)\)
\(D=2000^2-\left(2000^2-2^2\right)\)
\(D=2000^2-2000^2+4\)
\(D=4\)
f) \(G=1+3-5+7-9+11-13+...159-161+163\)
\(G=1+\left(3-5\right)+\left(7-9\right)+\left(11-13\right)+...+\left(159-161\right)+163\)
\(G=1-2-2-2-...-2+163\)
\(G=164-2\cdot79\)
\(G=164-158=6\)
\(=20.\left(-9\right)+\left(-20\right).21\)
\(=-180+\left(-420\right)\)
\(=-600\)
a) =20.(-9)+(-20).21
=20.(-9)+20.(-21)
=20[(-9)+(-21)]
=20.(-30)
=-600
\(\frac{19}{13}+\frac{14}{16}+\frac{1}{9}+\frac{4}{6}+\frac{7}{13}+\frac{17}{9}\)
\(=\left(\frac{19}{13}+\frac{7}{13}\right)+\left(\frac{14}{6}+\frac{4}{6}\right)+\left(\frac{1}{9}+\frac{17}{9}\right)\)
\(=2+3+2\)
\(=7\)
chúc bạn học tootrs nha
Mik đọc công thức bạn tự làm nhé áp dụng công thức nhé:
b1: a)SCSH: ( 2017 - 13 ) : 3 + 1 = 669 ( số hạng )
b2: Tổng: ( 2017 + 13 ) . 669 : 2 = 679035
b) SCSH: ( 2000 - 2 ) : 2 + 1 = 1000 ( số hạng )
Tổng: ( 2000 + 2 ) . 1000 : 2 = 1001000
c)SCSH: ( 102 - 1 ) : 1 + 1 = 102 ( số hạng )
Tổng: ( 102 + 1 ) . 102 : 2 = 5253
P=(20.21.22.23-4.5.6.7):4=52920
các bạn cho mk vài li-ke cho tròn 660 với
\(\frac{3}{5}-\frac{1}{9}-\frac{1}{2}-\frac{1}{127}+\frac{7}{18}+\frac{4}{35}+\frac{2}{7}\)=\((\frac{1}{9}-\frac{1}{2}+\frac{7}{18})+(\frac{3}{5}+\frac{2}{7}+\frac{4}{35})+\frac{1}{127}\)=\(0+1+\frac{1}{127}\)=\(1+\frac{1}{127}=\frac{128}{127}\)
(29-9).(-9)+(-13-7).21=0.(-9)+(-20).21
=0+(-420)
=-420
`(29-9).(-9)+(-13-7).21`
`=20.(-9) + (-20).21`
`=20.(-9)-20.21`
`=20 . (-9-21)`
`=20.(-30)`
`=-600`