Tính:
a) 93 , 75 − 20 , 5 − 6 , 8
b) 985 , 28 : 3 , 2
c) 80 , 08 + 27 , 2 + 403 , 6
d) 105 × 3 , 063
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a)17-(12+13)
=17-25
=-8
b)2347-450-347-550
=(2347-347)-(450+550)
=2000-1000
=1000
c)(-71).(-175)-75.71
=71.(175-75)
=71.100
=7100
d)93.(27-100)+(-3)^3.93
=93.(27-100)+(-27).93
=93.((-27)+(-73))
=93.(-100)
=-9300
bài 2 :
a)x-15=-20
x=-20+15
x=-5
b)3x+27=6
3x=6-27
3x=-21
x=-21:3
x=-7
c)3.(x-1)+27=102
3.(x-1)=102-27
3.(x-1)=75
x-1=75:3
x-1=25
x=25+1
x=26
d)|x-6|.7-(-2)^2=-8+39
sory ,câu này mk ko làm đc
= 1 + 2 + 3 +... +26 + 27 + 28 + 29 + 30
Số các số hạng là :
( 30 - 1 ) : 1 + 1 = 30
Tổng là :
( 30 + 1 ) x 30 : 2 = 465
B = 3 X 5 + 8 : 2 - 38 : [(6 X 8 - 6 X 7 ) : 2 ]
B = 3 x 5 + 8 : 2 - 38 : [ ( 48 - 42) : 2]
B = 3 x 5 + 8 : 2 - 38 : [6 : 2 ]
B = 3 x 5 + 8 : 2 - 38 : 3
B = 15 + 4 - 38/3
B = 19/3
C = 1 + 3 + 5 + 7 + 9 + ... + 101 + 103 +105
Số các số hạng là :
( 105 - 1 ) : 2 + 1 = 53
Tổng các số :
( 105 + 1 ) x 53 : 2 = 2809
Đáp số : 2809
D = ( 465 + 19/3 + 2809) : 3
D = 9841/3 : 3
D = 9841/9
A = 1 + 2 + 3 +... +26 + 27 + 28 + 29 + 30
Số các số hạng là :
( 30 - 1 ) : 1 + 1 = 30
Tổng là :
( 30 + 1 ) x 30 : 2 = 465
B = 3 X 5 + 8 : 2 - 38 : [(6 X 8 - 6 X 7 ) : 2 ]
B = 3 x 5 + 8 : 2 - 38 : [ ( 48 - 42) : 2]
B = 3 x 5 + 8 : 2 - 38 : [6 : 2 ]
B = 3 x 5 + 8 : 2 - 38 : 3
B = 15 + 4 - 38/3
B = 19/3
C = 1 + 3 + 5 + 7 + 9 + ... + 101 + 103 +105
Số các số hạng là :
( 105 - 1 ) : 2 + 1 = 53
Tổng các số :
( 105 + 1 ) x 53 : 2 = 2809
Đáp số : 2809
D = ( 465 + 19/3 + 2809) : 3
D = 9841/3 : 3
D = 9841/9
Câu 3:
a) \(\dfrac{12}{36}=\dfrac{12:12}{36:12}=\dfrac{1}{3}\)
\(\dfrac{-16}{20}=\dfrac{-16:4}{20:4}=\dfrac{-4}{5}\)
b) \(\dfrac{21}{105}=\dfrac{21:21}{105:21}=\dfrac{1}{5}\)
\(\dfrac{35}{150}=\dfrac{35:5}{150:5}=\dfrac{7}{30}\)
Câu 4:
a) \(\dfrac{3}{10}+\dfrac{5}{10}=\dfrac{3+5}{10}=\dfrac{8}{10}=\dfrac{4}{5}\)
b) Ta có: \(\left(-27\right)\cdot36+64\cdot\left(-27\right)+23\cdot\left(-100\right)\)
\(=\left(-27\right)\cdot\left(64+36\right)+23\cdot\left(-100\right)\)
\(=-27\cdot100-23\cdot100\)
\(=100\left(-27-23\right)\)
\(=-50\cdot100=-5000\)
c) \(\dfrac{5}{8}+\dfrac{3}{12}=\dfrac{15}{24}+\dfrac{6}{24}=\dfrac{21}{24}=\dfrac{7}{8}\)
d) Ta có: \(\dfrac{-2}{17}+\dfrac{3}{19}+\dfrac{-15}{17}+\dfrac{16}{19}+\dfrac{5}{6}\)
\(=\left(-\dfrac{2}{17}+\dfrac{-15}{17}\right)+\left(\dfrac{3}{19}+\dfrac{16}{19}\right)+\dfrac{5}{6}\)
\(=-1+1+\dfrac{5}{6}\)
\(=\dfrac{5}{6}\)
\(a,=6\sqrt{2}-3-6\sqrt{2}=-3\\ b,=12\sqrt{3}-2\sqrt{5}-6\sqrt{3}+5\sqrt{5}=6\sqrt{3}+3\sqrt{5}\\ c,=\sqrt{3}-1-\sqrt{3}=-1\\ d,=\sqrt{6}-\dfrac{5\left(\sqrt{6}+1\right)}{5}=\sqrt{6}-\sqrt{6}-1=-1\)
a) \(\dfrac{2}{5}-\dfrac{3}{15}\)
\(=\dfrac{2}{5}-\dfrac{3:3}{15:3}\)
\(=\dfrac{2}{5}-\dfrac{1}{5}\)
\(=\dfrac{1}{5}\)
b) \(\dfrac{9}{27}-\dfrac{2}{9}\)
\(=\dfrac{9:3}{27:3}-\dfrac{2}{9}\)
\(=\dfrac{3}{9}-\dfrac{2}{9}\)
\(=\dfrac{1}{9}\)
c) \(\dfrac{18}{24}-\dfrac{4}{8}\)
\(=\dfrac{18:6}{24:6}-\dfrac{4:2}{8:2}\)
\(=\dfrac{3}{4}-\dfrac{2}{4}\)
\(=\dfrac{1}{4}\)
d) \(\dfrac{6}{16}-\dfrac{10}{64}\)
\(=\dfrac{6\times2}{16\times2}-\dfrac{10:2}{64:2}\)
\(=\dfrac{12}{32}-\dfrac{5}{32}\)
\(=\dfrac{7}{32}\)
a) \(\dfrac{7}{-25}+\dfrac{8}{25}=\dfrac{-7}{25}+\dfrac{8}{25}=\dfrac{1}{25}\)
\(\dfrac{4}{5}+\dfrac{4}{-18}=\dfrac{4}{5+\left(-18\right)}=\dfrac{4}{-13}=\dfrac{-4}{13}\)
\(\dfrac{7}{21}+\dfrac{9}{-36}=\dfrac{1}{3}+\dfrac{1}{-4}=\dfrac{1}{3+\left(-4\right)}=\dfrac{1}{-1}=1\)
b) \(\dfrac{12}{20}-\dfrac{2}{5}=\dfrac{12}{20}+\left(\dfrac{-2}{5}\right)=\dfrac{3}{5}+\dfrac{-2}{5}=\dfrac{3+\left(-2\right)}{5}=\dfrac{1}{5}\)
\(\dfrac{2}{3}-\dfrac{-5}{6}=\dfrac{2}{3}+\dfrac{5}{6}=\dfrac{4}{6}+\dfrac{5}{6}=\dfrac{9}{6}=\dfrac{3}{2}\)
\(6-\dfrac{3}{20}=6+\dfrac{-3}{20}=\dfrac{60}{60}+\dfrac{-9}{60}=\dfrac{51}{60}\)
c) \(\dfrac{2}{21}.\dfrac{-7}{3}=\dfrac{2.\left(-1\right)}{7.3}=\dfrac{-2}{21}\)
\(\dfrac{27}{28}.\left(-21\right)=\dfrac{27.\left(-21\right)}{28}=\dfrac{-567}{28}\)
\(\dfrac{-15}{7}.\dfrac{-14}{25}=\dfrac{-3.\left(-2\right)}{1.5}=\dfrac{6}{5}\)
a, 100 + 98 + 96 + ... + 2 - 9 7 - 95 - .. -1
= 100 + (98 - 97) + (96-95) + ... + + ... + (2 - 1)
= 100 + 1 + 1 + 1 +.. +1
= 100 + 1 x49
= 100 + 49
= 149
b , 1 + 2 - 3 - 4 + 5 + 6 - .... -299 - 330 +301 + 302
=( 1 + 2 - 3) + ( -4 + 5 + 6 -7 ) +... +(298 - 299 -300 +301 ) + 302
= 0 + 0 + .. + 0 + 302
= 302
c) 2 . 31 . 12 + 4 . 6 . 42 + 8 . 27 . 3
=24.31+24.42+24.27
=24.(31+42+27)
=24.100
=2400
d)
=36x(28+82)+64x(69+41)
=36x110+64x110
=110x(26+64)
=110x100
=11000
d) dãy tính trên có số số tự nhiên là: (99-1):2+1=50(số)
99-97+95-93+91-89+...+7-5+3-1(50:2=25 cặp)
(99-97)+(95-93)+(91-89)+...+(7-5)+(3-1) (25 cặp)
2+2+2+2+2+...+2+2(25 số 2)
2x25=50
a) 66,45
b) 307,9
c) 510,88
d) 321,615