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a) 1 - 5 + 9 - 13 + .... + 393 - 397
= ( 1 - 5 ) + ( 9 - 13 ) + ... + ( 393 - 397 )
= ( -4 ) + ( -4 ) + ... + ( -4 )
= ( -4 ) x 197
= -788
b) - 2 + 4 - 6 + 8 - ... - 238 + 240
= ( -2 + 4 ) + ( -6 + 8 ) + ... + ( -238 + 240 )
= 2 + 2 + ... + 2
= 2 x 60
= 140
a. ( 20-36 ) + 116 = 20-36+116 = 20 - ( 36 - 116 ) = 20 - (- 80 ) = 20 + 80 = 100
b. 16.20 - 8.10.2 = 16.20 - 8.20 = ( 16 - 8 ) . 20 = 8.20 = 160
c. 2 . ( -3)2 + 4. ( -5 ) + 20
= 2.9 + ( - 20 ) + 20
= 18 + 0 = 18
72x(28-49)+28x(-49-72)
=72x(-21)+28x(-121)
=-1512+(-3388)
=-49900
Có 2 cách hiểu
+ ) 72x( 28 - 49 ) + 28x( -49 - 72)
= 72x . 28 - 72x . 49 - 28x . 49 - 28x . 72
= -72x . 49 - 28x . 49
= 49 . ( - 100x )
+) 72 . ( 28 - 49 ) + 28 . ( -49 - 72 )
= 72 . 28 - 72 . 49 -28 . 49 - 28 . 72
= -72 . 49 -28 . 49
= 49 . ( -100 ) = -4900
5.(-8).2.(-3)
=5.2.-8.-3
=10.-8.-3
=-80.-3
=240
còn đâu bn tự nghĩ đi nhé
\(2.11^{25}:11^{23}-3^5:\left(1^{2018}+2^3\right)-60\)
\(=2.\left(11^{25}:11^{23}\right)-3^5:\left(1+8\right)-60\)
\(=2.11^2-3^5:9-60\)
\(=2.121-3^5:3^2-60\)
\(=242-3^3-60\)
\(=242-27-60\)
\(=215-60\)
\(=155\)
1/ Bg
\(\frac{21^4}{27.\left(-343\right)}\)= \(\frac{\left(3.7\right)^4}{3^3.\left(-7\right)^3}\)
= \(\frac{3^4.7^4}{3^3.\left(-7\right)^3}\)
= \(\frac{3.\left(-7\right)}{1.1}\)
= 3.(-7)
= -21
2/ Bg
Ta có: \(\frac{a}{4}=\frac{b}{5}=\frac{c}{2}\)và a + b - c = 21 (a, b, c thuộc Z)
Áp dụng tính chất dãy tỉ số bằng nhau, ta có:
\(\frac{a}{4}=\frac{b}{5}=\frac{c}{2}=\frac{a+b-c}{4+5-2}=\frac{21}{7}\)= 3
=> a = 3.4 = 12
=> b = 3.5 = 15
=> c = 3.2 = 6
Vậy a = 12, b = 15 và c = 6
a, \(\frac{2}{5}.\frac{1}{3}-\frac{2}{15}:\frac{1}{5}+\frac{3}{5}.\frac{1}{3}\)
\(=\frac{1}{3}.\left(\frac{2}{5}+\frac{3}{5}\right)-\frac{2}{15}.5\)
\(=\frac{1}{3}.1-\frac{2}{3}\)
\(=\frac{1}{3}-\frac{2}{3}\)
\(=\frac{-1}{3}\)
b, \(\left(6-2\frac{4}{5}\right).3\frac{1}{8}+1\frac{3}{8}:\frac{1}{4}\)
\(=\left(6-\frac{14}{5}\right).\frac{25}{8}+\frac{11}{8}.4\)
\(=\frac{16}{5}.\frac{25}{8}+\frac{11}{2}\)
\(=10+\frac{11}{2}\)
\(=\frac{31}{2}\)
1/3×(3/5+2/5)-2/15×1/5
1/3×1-2/15×1/5
1/3-2/15×1/5
1/3-2/75
25/75-2/75
23/75
(6-14/5)×25/8-11/8:4/1
16/5×25/8-11/8:4/1
10/1-11/8:4/1
10/1-11/8×1/4
10/1-11/32
320/32-11/32
309/32
`2-3 3/4:(5/8-20%)`
`=2-3 3/4:(5/8-1/4)`
`=2-15/4:3/8`
`=2-10`
`=-8`
\(2-3\dfrac{3}{4}:\left(\dfrac{5}{8}-20\%\right)\)
\(=2-\dfrac{15}{4}:\left(\dfrac{5}{8}-\dfrac{20}{100}\right)\)
\(=\dfrac{2}{1}-\dfrac{15}{4}:\left(\dfrac{5}{8}-\dfrac{1}{5}\right)\)
\(=\dfrac{2}{1}-\dfrac{15}{4}:\left(\dfrac{25}{40}-\dfrac{8}{40}\right)\)
\(=\dfrac{2}{1}-\dfrac{15}{4}:\dfrac{17}{40}\)
\(=\dfrac{2}{1}-\dfrac{15}{4}.\dfrac{40}{17}\)
\(=\dfrac{2}{1}-\dfrac{600}{68}\)
\(=\dfrac{2}{1}-\dfrac{150}{17}\)
\(=\dfrac{34}{17}-\dfrac{150}{17}\)
\(=\dfrac{-116}{17}\)