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\(a,5^2.36+25.4\)
\(=25.36+25.4\)
\(=25.\left(36+4\right)\)
\(=25.40\)
\(=1000\)
\(b,7^9.7^7:7^{15}-7^0\)
\(=7^{16}:7^{15}-1\)
\(=7-1\)
\(=6\)
a) 52.36 + 25 .4
= 25.36 + 25 .4
=25 . ( 36 + 4 )
=25 . 40
=25.4.10
=100.10
=1000
17.85+15.17-120
= 17(85+15)-120
=17.100-120
=1700-120
=1580
A = 12:{ 390 :[500-(125+35.7)]}
A=12:{ 390 :[500-(125+245)]}
A=12:{ 390 :[500-370]}
A=12:{ 390 :130}
A=12:3
A=4
75 - (3.52-4.23)
= 75 - ( 75 - 32)
= 75 - 43
= 32
B = 10+12+14+...+96+98
Tổng trên có số số hạng là:
(98-10):2+1=45 ( số )
\(\Rightarrow\text{B = 10+12+14+...+96+98}=\frac{\left(98+10\right).45}{2}=2430\)
17 . 85 + 15.17 - 120
= 17 ( 85 + 15 ) - 120
= 17 . 100 - 120
= 1700 - 120 = 1580
A = 12 : { 390 : [ 500 - ( 125 + 35 . 7 )]}
A = 12 : { 390 : [ 500 - ( 125 + 245 )]}
A = 12 : { 390 : [ 500 - 370 ]}
A = 12 : { 390 : 130 }
A = 12 : 3 = 4
75 - ( 3 . 52 - 4. 23 )
= 75 - ( 3 . 25 - 4 . 8 )
= 75 - ( 75 - 32 )
= 75 - 75 + 32
= 0 + 32 = 32
B = 10 + 12 + ... + 96 + 98
B có số số hạng là :
( 98 - 10 ) : 2 + 1 = 45 ( số )
B = ( 98 + 10 ) . 45 : 2 = 2430
a ) số đối : -9 = 9 ; 17 = 17
b ) 63 = 216 ; 70 = 1
Bài 2 :
a) 42
b) 30
c) 3800
Bài 3 :
a) x = -31
b) x = 2
c) x = { -2 ;-1 ; 0 ;1;2;3;4 }
1/a.9;-17.
b.216;1
2/a.42;b.30;c.3800
3/a.x=-31;b.x=2;c.x=-2;-1;0;1;2;3;4.
a)2^3.17-14+2^3.3^2
=8.17-14+8.9
=136-14+72
=194
b)102-272+|-15|-23
=-170+15-23
=-178
c)95:93 -32.3
=92-3
=78
a) 23 . 17 - 14 + 23 . 32
= 23 . ( 17 + 32 ) - 14
= 8 . ( 17 + 9 ) - 14
= 8 . 26 - 14
= 208 - 14
= 194
b) 102 - 272 + |-15| + (-23)
= 102 - 272 + 15 - 23
= - 170 + 15 - 23
= - 155 - 23
= - 178
c) 95 : 93 - 32 . 3
= 92 - 33
= 81 - 27
= 54
a) \(53.\left(-15\right)+\left(-15\right).47=\left(-15\right).\left(53+47\right)=\left(-15\right).100=-1500\)
b) \(\left(-43\right).92-46.27+46.41=\left(-86\right).46-46.27+46.41\)
\(=46\left[\left(-86\right)-27+41\right]=46.\left(-72\right)=-3312\)
c) \(\left(-72\right)\left(15-49\right)+15\left(-56+72\right)=\left(-72\right).15-72.49+15.\left(-56\right)+15.72\)
\(=\left[\left(-72\right).15+15.72\right]-72.49-15.56=0-3528-840=4368\)
d) \(\left(-2^4\right).17.\left(-3\right)^0.\left(-5\right)^6\left(-1^{2n}\right)=16.17.1.12625.\left(-1^{2n}\right)\)
a,\(53.\left(-15\right)+\left(-15\right).47\)
\(=-15.\left(53+47\right)=-15.100=-1500\)
\(b,-43.92-46.27+46.41\)
\(=-43.92-\left[46.\left(27-41\right)\right]=-43.92-\left[46.\left(-14\right)\right]\)
\(=-3956+644=-3312\)
\(c,-72\left(15-49\right)+15\left(-56+72\right)\)
\(=-15.72+49.72+15.\left(-56\right)+15.72\)
\(=72.\left(-15+49+15\right)-15.56=3528-840=2688\)
a) \(4.5^2-81:3^2=4.25-81:9=100-9=91\)
b) \(3^3.23-3^3.19=3^3.\left(23-19\right)=27.4=108\)
c) \(2^4.5-[131-\left(13-4\right)^2]=16.5-\left(131-9^2\right)=80-\left(131-81\right)=80-50=30\)
d) \(100:\left\{250:\left[450-\left(4.5^3-2^2.25\right)\right]\right\}\)
\(=100:\left\{250:\left[450-4.\left(125-25\right)\right]\right\}\)
\(=100:\left[250:\left(450-4.100\right)\right]\)
\(=100:\left[250:\left(450-400\right)\right]=100:\left(250:50\right)=100:5=20\)
a) 5 + ( -12 ) - 10
= -7 - 10
= -17
b) 25 - ( -17 ) + 24 - 12
= 25 + 17 + 24 - 12
= 42 + 24 - 12
= 66 - 12
= 54
c) 56 : 54 + 23 . 22 - 225 : 152
= 56 - 4 + 23 + 2 - 32 . 52 : 152
= 52 + 25 - 152 : 152
= 25 + 32 - 1
= 57 - 1
= 56
d) ( -5 - 3 ) . ( 3 - 5 ) : ( -3 + 5 )
= ( -8 ) . ( -2 ) : 2
= -8 . [ ( -2 ) : 2 ]
= -8 . ( -1 )
= 8
a) 5 + ( -12) - 10
= 5 - 12 -10
= -17
b) 25 - ( -17) + 24 - 12
= 25 + 17 + 24 - 12
= 42 + 24 - 12
= ( 42 - 12) + 24
= 30 + 24 = 54
c) 56 : 54 + 23 . 22 - 225 : 152
= 52 + 25 - 1
= 25 + 32 - 1
= 56
d) ( - 5 - 3) . ( 3 - 5) : ( -3 + 5)
= ( -8) . ( -2) : 2
= 16 : 2
= 8
Đặt \(A=2^0+2^1+..+2^{100}\)
\(\Rightarrow2A=2^1+2^2+..+2^{101}\)
lấy hiệu hai phương trình ta có
\(A=2^{101}-2^0=2^{101}-1\)
.\(B=5^1+5^2+..+5^{200}\)
\(\Rightarrow5B=5^2+5^3+..+5^{201}\)
Lấy hiệu hai phương trình ta có :
\(4B=5^{201}-5\Rightarrow B=\frac{5^{201}-5}{4}\)
a) \(64\left(57+43\right)-2300=64.100-2300=6400-2300=4100\)