Bài 1: Thực hiện các phép tinh hợp lý:
a) 38.67 – 38 + 38.14 b) 111-[6':6° +4(9-4)]
c) 75 + {5. [81: (7– 4)°] + 15} : 10
d) Cho tập hợp 4= {aeZ/-5<a<2}. Tính tổng các số nguyên a thuộc tập hợp A.
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![](https://rs.olm.vn/images/avt/0.png?1311)
a) (-124) + 24 = -100
b) 37. 78 + 37. 22
= 37 . ( 78 + 22 )
= 37 . 100
= 3700
![](https://rs.olm.vn/images/avt/0.png?1311)
a, 2 17 + 17 2 9 15 - 3 15 2 4 - 4 2
= 2 17 + 17 2 9 15 - 3 15 16 - 16
= 2 17 + 17 2 9 15 - 3 15 . 0
= 0
b, 1 2 + 2 3 + 3 4 + 4 5 . ( 1 3 + 2 3 + 3 3 + 4 3 ) ( 3 8 - 81 2 )
= 1 2 + 2 3 + 3 4 + 4 5 . ( 1 3 + 2 3 + 3 3 + 4 3 ) ( 3 4 . 2 - 81 2 )
= 1 2 + 2 3 + 3 4 + 4 5 . ( 1 3 + 2 3 + 3 3 + 4 3 ) ( 81 2 - 81 2 )
= 1 2 + 2 3 + 3 4 + 4 5 . ( 1 3 + 2 3 + 3 3 + 4 3 ) . 0
= 0
c, 7 24 + 7 23 : 7 22
= 7 24 : 7 22 + 7 23 : 7 22
= 7 24 - 22 + 7 23 - 22
= 7 2 + 7 1
= 49 + 7 = 56
![](https://rs.olm.vn/images/avt/0.png?1311)
\(=\left(\dfrac{1}{2}+\dfrac{1}{2}\right)-\left(\dfrac{5}{41}+\dfrac{36}{41}\right)=1-1=0\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a, ( 38 + 62 ) + ( 41 + 159 ) + 117
= 100 + 200 + 117
= 417
b, ( 968 + 3032 ) + ( 86 + 914 ) + 73
= 4000 + 1000 + 73
= 5073
c, 341 x ( 67+ 16 ) + 659 x 83
= 341 x 83 + 659 X 83
= 83 x ( 341 + 659 )
= 83 x 1000
= 83000
d, 42 x 53 + 47 x ( 156 - 114 )
= 42 x 53 + 47 x 42
= 42 x ( 53 + 47 )
= 42 x 100
4200
- a,=[38+62]+[41+159]+117 =100+200=300+117 =417 b,=[86+914]+[968+3032]+73 =1000+4000 =5000+73
=5073
![](https://rs.olm.vn/images/avt/0.png?1311)
Bài 1:
\(a.8,32+14,76+5,24=8,32+\left(14,76+5,24\right)\)
\(=8,32+20=28,32\)
\(b,16,88+9,76+3,12=\left(16,88+3,12\right)+9,76\)
\(=20+9,76=29,76\)
\(c,\left(\dfrac{2}{5}+\dfrac{7}{9}\right)+\dfrac{3}{5}=\left(\dfrac{2}{5}+\dfrac{3}{5}\right)+\dfrac{7}{9}\)
\(=1+\dfrac{7}{9}=\dfrac{16}{9}\)
\(d,\dfrac{19}{11}+\left(\dfrac{8}{13}+\dfrac{3}{11}\right)\)
\(=\left(\dfrac{19}{11}+\dfrac{3}{11}\right)+\dfrac{8}{13}=\dfrac{22}{11}+\dfrac{8}{13}\)
\(=2+\dfrac{8}{13}=\dfrac{34}{13}\)
![](https://rs.olm.vn/images/avt/0.png?1311)
a) − 105 + − 25 + ( − 105 ) + 50
= 105 + 25 + ( - 105) + 50
= [105 + ( -105)] + ( 25 + 50 )
= 0 + 75 = 75
b) 465 + − 38 + − 465 − 12 − − 42
= 465 + ( - 38) + ( -465) – 12 – 42
= [ 465 + (- 465) ] – ( 12 + 42 )
= 0 – 54 = 0 + ( -54 ) = -54
c) 65. − 19 + − 19 .24 + − 19 .11
= ( - 19) . ( 65 + 24 + 11 )
= ( -19) . 100 = -1900
d) − 3 2 + 2 3 − − 5 2 + 4 3
= 9 + 8 – 25 + 64 = 56
![](https://rs.olm.vn/images/avt/0.png?1311)
\(\left(38-29+43\right)-\left(43+38\right)\)
\(=38-29+43-43-38\)
\(=\left(38-38\right)+\left(43-43\right)-29\)
\(=0+0-29\)
\(=0-29\)
\(=-29\)
d: A={-4;-3;-2;-1;0;1}
Tổng là: (-4)+(-3)+(-2)+(-1+1)+0=-9