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a)17.85-15.17-120
=17.(85-17)-120
=17.68-12
=1156-120
=1036
b)100:[30-(6-1)^ 2]
=100 :[30-5^ 2]
= 100:[30-25]
=100:5=20
c)/-10/+4+3.2^3+(-14)
=10+4+3.8 +(-14)
=14+24+(-14)
=[14 +(-14)]+24
=0+24=24
d)20-[30-(5-1)^ 2: 2]
=20-[30-4^2:2]
=20-[30-8]
=20-22=-2
e)80-(4.5^2-3.2^3)
= 80-(4.25-3.8)
=80-(4.25-3.2.4)
=80-4.(25-3.2)
= 80-4.19
= 80-76=4
g)35-{12-[-14+6-2)]}
=35 -{12-14-6+2}
=35-12+14+6-2
=23+14+6-2
=37+6-2
=43-2=41
a) \(\frac{3}{2}.\frac{7}{2}+\frac{5}{3}.\frac{1}{2}=\frac{21}{2}+\frac{5}{6}=\frac{63}{6}+\frac{5}{6}=\frac{68}{6}=\frac{34}{3}\)
b) \(\frac{1}{9}.\frac{2}{145}-\frac{13}{3}.\frac{2}{145}+\frac{2}{145}=\frac{2}{145}\left(\frac{1}{9}-\frac{39}{9}+\frac{9}{9}\right)=\frac{2}{145}\left(-29\right)=-0.4\)
c) \(\left(-\frac{91}{12}\right):\frac{15}{7}-\frac{1}{18}:\frac{15}{7}+\frac{20}{9}:\frac{15}{7}=\frac{7}{15}\left(-\frac{91}{12}-\frac{1}{18}+\frac{20}{9}\right)=\frac{7}{15}\left(-\frac{65}{12}\right)=-\frac{91}{36}\)
`#3107.101107`
`15 - 203 - (-203)`
`= 15 - 203 + 203`
`= 15 - (203 - 203)`
`= 15`
____
`(-3)*(-19) + 3*(-30-19)`
`= (-3)*(-19) - 3*30 - 3*19`
`= (-3)*(-19 + 30 + 19)`
`= (-3)*30`
`= -90`
a, 103
b, 6
c, 8
d,21
Bạn có thể đọc cách cộng trừ các số nguyên trong sgk Toán 6 tập 1 nhé!
\(-87+12-\left(-487\right)+\left(-512\right)\\ =\left(-87+487\right)+\left[12+\left(-512\right)\right]\\ =400+\left(-500\right)\\ =-100\\ 15.\left(-12\right)+15.\left(-18\right)\\ =15.\left[\left(-12\right)+\left(-18\right)\right]\\ =15.\left(-30\right)\\ =-450\\ 160-\left(4.5^2-3.2^3\right)\\ =160-\left(4.25-3.8\right)\\ =160-\left(100-24\right)\\ =160-76\\ =84\)
\(\left\{210:\left[16+3.\left(6+3.2^2\right)\right]\right\}-3\)
\(=\left\{210:\left[16+3.\left(6+3.4\right)\right]\right\}-3\)
\(=\left\{210:\left[16+3.\left(6+12\right)\right]\right\}-3\)
\(=\left\{210:\left[16+3.18\right]\right\}-3\)
\(=\left\{210:\left[16+54\right]\right\}-3\)
\(=\left\{210:70\right\}-3\)
\(=3-3\)
\(=0\)
\(B=7^5:7^3-6^2\cdot2+2^3\cdot2^2\)
\(B=7^2-36\cdot2+2^5\)
\(B=49-36\cdot2+32\)
\(B=49-72+32\)
\(B=9\)
Ta có: \(\left\{210:\left[73-30^0\left(15-3\cdot2^2\right)\right]\right\}-3\)
\(=210:\left[73-\left(15-3\cdot4\right)\right]-3\)
\(=210:\left[73-15+12\right]-3\)
=210:70-3
=3-3
=0
{ 210 : [ 73 - 30 0 . ( 15 - 3 .2 2 ) ] } - 3
= ( 210 : [ 43 . 3 ] ) - 3
= ( 210 : 129 - 3 )
= 1 ,6 + 81 - 3
= 82,6 -3
= 79,6