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a) 58.75+58.50-58.25
=58.(75+50-25)
=58.100
=5800
b) \(20:2^2-5^9:5^8\)
\(20:4-5\)
\(5-5=0\)
c)\(\left(5^{19}:5^{17}-4\right):7\)
\(\left(5^2-4\right):7\)
\(\left(25-4\right):7\)
\(21:7\)
=\(3\)
d) \(84:4+3^9:3^7+5^0\)
\(=21+3^2+1\)
\(=21+9+1\)
\(30+1=31\)
e) \(295-\left(31-2^2.5\right)^2\)
\(295-\left(31-4.5\right)^2\)
\(295-\left(31-20\right)^2\)
\(295-\left(11\right)^2\)
\(295-121\)
\(=174\)
f) \(11^{25}:11^{23}-3^5:\left(1^{10}\right)+2^3-60\)
\(11^2-243:1+8-60\)
\(121-243+8-60\)
\(-122+8-60\)
\(-114-60\)
\(=-174\)
a,
A=1−3−5−7−9−...−97−99a)A=1−3−5−7−9−...−97−99
=1−(3+5+7+...+99)=1−(3+5+7+...+99)
=1−(99+3).[(99−3):2+1]2=1−(99+3).[(99−3):2+1]2
=1−2499=−2498=1−2499=−2498
b)B=1+3−5−7+9+...+97−99b)B=1+3−5−7+9+...+97−99
=(−8)+(−8)+(−8)+...+(−8)+97−99=(−8)+(−8)+(−8)+...+(−8)+97−99
=(−8).12+(−2)=−98=(−8).12+(−2)=−98
c)C=1−3−5+7+9−11−13+15+...+97−99c)C=1−3−5+7+9−11−13+15+...+97−99
=0+0+0+0+0+...+0−99=0+0+0+0+0+...+0−99
=−99
\(a)\)
\(\left(-31\right)+\left(50-19\right)-\left(150-31\right)\)
\(=\left(-31\right)+50-19-150+31\)
\(=\left(-150\right)-19\)
\(=-169\)
\(b)\)
\(25.\left(45-17\right)-45.\left(25-17\right)\)
\(=25.45-25.17-45.25+45.17\)
\(=0\)
\(c)\)
\(\frac{-1}{12}+\frac{4}{3}=\frac{5}{4}\)
\(d)\)
\(3+\frac{-5}{20}+\frac{30}{75}+\frac{-7}{4}\)
\(=\left(\frac{3}{5}+\frac{30}{75}\right)-\left(\frac{5}{20}+\frac{7}{4}\right)\)
\(=1-2\)
\(=-1\)
a) (-31)+(50-19)-(150-31)
= (-31)+50+(-19)-150+(-31)
= (-31)+50-150+(-19)-(-31)
= (-31)+(-100)+12
= -119
b) 25(45-17)-45(25-17)
= 25.45-25.17-45.25-45.17
= 25(45-45)-25(17-17)
= 0
c) -1/12 + 4/3
= -1/12 + 16/12
= 15/12
= 5/4
d) 3/5+(-5)/20+30/75+(-7)/4
= 45/75+30/75+(-5)/20+(-35)/20
= 1+(-2)
= -1
A) 7/38 x 9/11 +7/38 x 4/11 -7/38 x 2/11
=7/38.(9/11+4/11-2/11)
=7/38
B) 5/31 x 21/25 + 5/31 x -7/10 - 5/31 x 9/20
=5/31.(21/25-7/10-9/20)
=5/31.(-31/100)
=-1/20
a. 75+58.50 - 58.25
= 78 + 58 . ( 50 - 25)
= 78 + 58 . 25
= 78 + 1450
= 1528
b. 20 : 2² - 5⁹ : 5⁸
= 20 : 4 - 5
= 5 - 5
= 0
c. (5¹⁹ :5¹⁷ - 4 ):7
= ( 52 -4 ) : 7
= (25 - 4 ) : 7
= 21 : 7
= 3
d. 84:4 +3⁹:3⁷
= 21 + 32
= 21 + 9
= 30
e. 295 - ( 31 - 2².5 )²
= 295 - ( 31 - 4 . 5 )2
= 295 - ( 31 - 20)2
=295 - 11 2
= 295 - 121
=174