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1/ 45. 18 - 5. 9. 28
= 45. 18 - (5. 9) . 28
= 45.18 - 45 .28
= 45. ( 18 - 28)
= 45. ( -10)
= -450
2/ 54 - 6. (12 + 9)
= 54 - 6. 9 + 6. 12
= 54 - 54 + 6. 12
= 0 + 6. 12
= 72
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1/ \(45.18-5.9.28\\ =45.18-45.28\\ =45.\left(18-28\right)\\ =45.\left(-10\right)=-450\)
2/\(54-6.\left(12+9\right)\\ =6.\left(9-12-9\right)\\ =6.\left(-12\right)\\ =-72\)
3/ \(23.\left(16-5\right)-16.\left(23-5\right)\\ =23.16-23.5-16.23+16.5\\ =5.\left(-23+16\right)\\ =5.\left(-7\right)=-35\)
4, \(29.\left(2019-13\right)-2019.\left(29-13\right)\\ =29.2019-29.13-29.2019+13.2019\\ =13.\left(-29+2019\right)\\ =13.1990=25870\)
5/\(31.\left(-18\right)+31.\left(-80\right)-31.2\\ =31.\left[\left(-18\right)+\left(-80\right)-2\right]\\ =31.\left(-100\right)\\ =-3100\)
6/ \(\left(-12\right).48+\left(-12\right).51+\left(-12\right)\\ =\left(-12\right).\left(48+51+1\right)\\ =\left(-12\right).100\\ =-1200\)
1/ 45. 18 – 5. 9. 28
= 45 . 18 – 45 . 28
= 45 . (18 - 28)
= 45 . (-10)
= -450
2/ 54 – 6. (12 + 9)
= 54 – (6 . 12 + 6 . 9)
= 54 – 6 . 12 - 6 . 9
= 54 - 6 . 9 – 6 . 12
= 54 - 54 - 72
= 0 - 72
= -72
3/ 23. (16 – 5) – 16. (23 - 5)
= (23 . 16 – 23 . 5) – (16 . 23 - 16 . 5)
= 23 . 16 – 23 . 5 – 16 . 23 + 16 . 5
= (23 . 16 – 16 . 23) + (-23 . 5 + 16 . 5)
= (23 . 16 – 16 . 23) + 5 . (-23 + 16)
= 0 + 5 . (-7)
= 5 . (-7)
= -35
4/ 29. (2019 – 13) – 2019. (29 – 13)
= (29. 2019 – 29 . 13) – (2019. 29 – 2019 . 13)
= 29. 2019 – 29 . 13 – 2019. 29 + 2019 . 13
= (29 . 2019 - 2019 . 29) + (2019 . 13 - 29 . 13)
= (29 . 2019 - 2019 . 29) + 13 . (2019 - 29)
= 0 + 13 . 1990
= 0 + 25870
= 25870
5/ 31. (-18) + 31. ( - 80) – 31.2
= 31 . [(-18) + (-80) - 2]
= 31 . (-100)
= -3100
6/ (-12) . 48 + (-12) . 51 + (-12)
= (-12) . 48 + (-12) . 51 + (-12) . 1
= (-12) . (48 + 51 + 1)
= (-12) . 100
= -1200
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`a,`
`31/23-(7/32+8/23)`
`=31/23-7/32-8/23`
`=(31/23-8/23)-7/32`
`=1-7/32=25/32`
`b,`
`38/45-(8/45-17/51-3/11)`
`=38/45-8/45+17/51+3/11`
`= (38/45-8/45)+17/51+3/11`
`=2/3+17/51+3/11`
`=1+3/11=14/11`
`c,`
`(1/3+12/67+13/41)-(79/67-28/41)`
`= 1/3+12/67+13/41-79/67+28/41`
`= 1/3+(12/67-79/67)+(13/41+28/41)`
`= 1/3+(-1)+1=1/3+(-1+1)=1/3+0=1/3`
`d,`
`1/5+(-1/6)+1/7+(-1/8)+1/9+1/8+(-1/7)+1/6+(-1/5)`
`= (1/5+ -1/5)+(-1/6+1/6)+(1/7+ -1/7)+(-1/8 +1/8)+1/9`
`= 0+0+0+0+1/9=1/9 .`
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\(a\frac{31}{23}-\left(\frac{7}{23}+\frac{8}{23}\right)\)
\(=\frac{31}{23}-\frac{7}{23}-\frac{8}{23}\)
\(=\frac{16}{23}\)
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a)\(\frac{31}{23}-\left(\frac{7}{23}+\frac{8}{23}\right)=\frac{31}{23}-\frac{8}{23}+\frac{7}{23}=1+\frac{7}{23}=1\frac{7}{23}\)
b)\(\left(\frac{1}{3}+\frac{12}{67}+\frac{13}{41}\right)-\left(\frac{79}{67}-\frac{28}{41}\right)=\left(\frac{13}{41}+\frac{28}{41}\right)+\left(\frac{79}{67}-\frac{12}{67}\right)-\frac{1}{3}=1+1-\frac{1}{3}\)
\(=2-\frac{1}{3}=\frac{5}{3}\)
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\(1,\frac{2}{3}+\frac{4}{9}+\frac{1}{5}+\frac{2}{15}+\frac{3}{2}-\frac{17}{18}\)
\(< =>\frac{4}{9}+\frac{3}{2}+\left(\frac{2}{3}+\frac{1}{5}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{8}{18}+\frac{27}{18}+\left(\frac{10}{15}+\frac{3}{15}+\frac{2}{15}\right)-\frac{17}{18}\)
\(< =>\frac{35}{18}+1-\frac{17}{18}\)
\(< =>\frac{53}{18}-\frac{17}{18}\)
\(< =>2\)
\(2,\frac{13}{28}\cdot\frac{5}{12}-\frac{5}{28}\cdot\frac{1}{12}\)
\(< =>\left(\frac{13}{28}-\frac{5}{28}\right)\cdot\left(\frac{5}{12}-\frac{1}{12}\right)\)
\(< =>\frac{2}{7}\cdot\frac{1}{3}\)
\(< =>\frac{2}{21}\)
\(3,\frac{19}{4}\cdot\frac{15}{23}-\frac{15}{4}\cdot\frac{7}{23}+\frac{15}{4}\cdot\frac{11}{23}\)
\(< =>\frac{285}{92}-\frac{105}{92}+\frac{165}{92}\)
\(< =>\frac{15}{4}\)
M=(-23)+(-12+5)-(-28+51)
M=-23-12+5+28-51
M=7