a) - ( -25) - ( 202 + 125 ) + 402
b) - (-22) - ( 150 + 22 ) - 50
c) ( - 505 ) - (- 154 + 495 ) - ( - 846 )
d) ( 35 - 814 ) - ( 186 - 65 )
Những câu hỏi liên quan
bài 1:
a. S2 = 21+23+25+...+1001
b. S4 = 15+25+35+..+115
bài 2:
a. 2x-138= 23 .32
b. 5.(x+35) = 515
c. 814- ( x-305)=712
d. 20 - [ 7(x-3) +4] =2
e. 9x-1 =9
e. 5x-2 -32 = 24 - (28. 22 - 210 . 22)
Bài 1
S₂ = 21 + 23 + 25 + ... + 1001
Số số hạng của S₂:
(1001 - 21) : 2 + 1 = 491
⇒ S₂ = (1001 + 21) . 491 : 2 = 250901
--------
S₄ = 15 + 25 + 35 + ... + 115
Số số hạng của S₄:
(115 - 15) : 10 + 1 = 11
⇒ S₄ = (115 + 15) . 11 : 2 = 715
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Bài 2
a) 2x - 138 = 2³.3²
2x - 138 = 8.9
2x - 138 = 72
2x = 72 + 138
2x = 210
x = 210 : 2
x = 105
b) 5.(x + 35) = 515
x + 35 = 515 : 5
x + 35 = 103
x = 103 - 35
x = 78
c) 814 - (x - 305) = 712
x - 305 = 814 - 712
x - 305 = 102
x = 102 + 305
x = 407
d) 20 - [7.(x - 3) + 4] = 2
7(x - 3) + 4 = 20 - 2
7(x - 3) + 4 = 18
7(x - 3) = 18 - 4
7(x - 3) = 14
x - 3 = 14 : 7
x - 3 = 2
x = 2 + 3
x = 5
e) 9ˣ⁻¹ = 9
x - 1 = 1
x = 1 + 1
x = 2
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2:
a: \(2x-138=2^3\cdot3^2\)
=>\(2x-138=8\cdot9=72\)
=>2x=138+72=210
=>x=105
b: \(5\cdot\left(x+35\right)=515\)
=>x+35=103
=>x=103-35=68
c: \(814-\left(x-305\right)=712\)
=>x-305=814-712=102
=>x=102+305=407
d: \(20-\left[7\left(x-3\right)+4\right]=2\)
=>7(x-3)+4=18
=>7(x-3)=14
=>x-3=2
=>x=5
e: \(9^{x-1}=9\)
=>x-1=1
=>x=2
f: \(5^{x-2}-3^2=2^4-\left(2^8\cdot2^2-2^{10}\cdot2^2\right)\)
=>\(5^{x-2}-9=16-1024+4096\)
=>\(5^{x-2}=3097\)
=>\(x-2=log_53097\)
=>\(x=2+log_53097\)
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Tính nhanh:
a, 325 * 6 + 6 * 560 +115 * 6
b, 133 : 7 + 154 : 7 + 413 :7
c, 64 * 25 + 35 * 25 + 25
d, 22 * 47 + 2 * 38 * 11 + 15 * 22
( Các bạn giải rõ ra nhé đúng thì mình tick cho )
a) 325 x 6 + 6 x 560 + 115 x 6
= 6 x ( 325 + 560 + 115)
= 6 x 1000
= 6000
b) 133 : 7 + 154 : 7 + 413 :7
= ( 133 + 154 + 413 ) : 7
= 700 : 7
= 100
c) 64 x 25 + 35 x25 + 25
= 25 x ( 64 + 35 + 1 )
= 25 x 100
= 2500
d) Quá dễ
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a) 325 x 6 + 6 x 560 + 115 x 6
= 6 x ( 325 + 560 + 115 )
= 6 x 1000
= 6000
b) 133 : 7+ 154 : 7 + 413 : 7
= ( 133 + 154 + 413 ) : 7
= 700 : 7
= 100
c)64 x 25 + 35 x 25 + 25
= 25 x ( 64 + 35 + 1 )
= 25 x 100
= 2.500
d) 22 x 47 + 2 x 38 x 11 + 15 x 22
= 22 x ( 47 + 15 + 38 )
= 22 x 100
= 2200
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\(325\times6+6\times560+115\times6\)
\(=6\times\left(325+560+115\right)\)
\(=6\times1000\)
\(=6000\)
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Đặt tính rồi tính:
a, 265 814 + 353 548
b, 946 495 – 473859
c, 428 x 125
d, 72 450 : 23
a, 265 814 + 353 548
b, 946 495 – 473859
c, 428 x 125
d, 72 450 : 23
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a, 29 + 131 + 237 + 763 b, 65 + 327 + 15 + 73 c, 12+ 54:18 - 8
d.45.58+ 45.42 e) 35 . 34 + 35 . 26+ 40.35 f. 65 . 25 + 65 . 45+ 30.65
g) 750 : {32 – [ 22 + (5. 32 – 42)]} + 100 h) {630 : [16 + 3.(6 + 3. 4)]} – 1
i) 5871: [928 – ( 247- 82). 5] + 21750 k) 375 : {32 – [ 4 + (5. 32 – 42)]} – 14
Đọc tiếp
a, 29 + 131 + 237 + 763 b, 65 + 327 + 15 + 73 c, 12+ 54:18 - 8
d.45.58+ 45.42 e) 35 . 34 + 35 . 26+ 40.35 f. 65 . 25 + 65 . 45+ 30.65
g) 750 : {32 – [ 22 + (5. 32 – 42)]} + 100 h) {630 : [16 + 3.(6 + 3. 4)]} – 1
i) 5871: [928 – ( 247- 82). 5] + 21750 k) 375 : {32 – [ 4 + (5. 32 – 42)]} – 14
a) 23 – 53 : 52 + 12.22b) 5[(85 – 35 : 7) : 8 + 90] – 50c) 2.[(7 – 33 : 32) : 22 + 99] – 100d) 27 : 22 + 54 : 53 . 24 – 3.25e) (35 . 37) : 310 + 5.24 – 73 : 7f) 32.[(52 – 3) : 11] – 24 + 2.103g) (72005 + 72004) : 72004h) (57 + 75).(68 + 86).(24 – 42)i) (75 + 79).(54 + 56).(33.3 – 92)j) [(52.23) – 72.2) : 2].6 – 7.25
Đọc tiếp
a) 23 – 53 : 52 + 12.22 | b) 5[(85 – 35 : 7) : 8 + 90] – 50 |
c) 2.[(7 – 33 : 32) : 22 + 99] – 100 | d) 27 : 22 + 54 : 53 . 24 – 3.25 |
e) (35 . 37) : 310 + 5.24 – 73 : 7 | f) 32.[(52 – 3) : 11] – 24 + 2.103 |
g) (72005 + 72004) : 72004 | h) (57 + 75).(68 + 86).(24 – 42) |
i) (75 + 79).(54 + 56).(33.3 – 92) | j) [(52.23) – 72.2) : 2].6 – 7.25 |
a: \(2^3-5^3:5^2+12\cdot2^2\)
\(=8-5+48\)
\(=51\)
b: \(5\cdot\left[\left(85-35:7\right):8+90\right]-5\)
\(=5\cdot\left[10+90\right]-5\)
=495
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Rút gọn:
\(\frac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}\)
Ta có:
\(\frac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}=\frac{2^{35}.\left(9.5\right)^{25}.13^{22}.\left(5.7\right)^{16}}{9^{26}.\left(5.13\right)^{22}.\left(7.4\right)^{17}.\left(5.5\right)^9}\)
\(=\frac{2^{35}.9^{25}.5^{25}.13^{22}.5^{16}.7^{16}}{9^{26}.13^{22}.5^{22}.7^{17}.4^{17}.5^9.5^9}\)
\(=\frac{2^{35}.5^3}{9.4^{17}.5^2.7}\)
\(=\frac{2^{35}.5}{9.4^{17}.7}\)
\(=\frac{2^{35}.5}{9.2^{34}.7}\)
\(=\frac{2.5}{9.7}\)
\(=\frac{10}{63}\)
p/s: - Ko chắc ~
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\(\frac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}=\frac{2^{35}.5^{25}.9^{25}.13^{22}.5^{16}.7^{16}}{9^{26}.5^{22}.13^{22}.4^{17}.7^{17}.5^9.5^9}=\frac{2^{35}.5^3.5^7}{9.\left(2^2\right)^{17}.7.5^9}=\frac{2^{35}.5^3}{9.2^{34}.7.5^2}=\frac{2.5}{9.7}=\frac{10}{63}\)
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19 tháng 11 2017 lúc 14:28
Rút gọn:
\(\dfrac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}\) = ...
\(A=\dfrac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}=\dfrac{2^{35}.3^{50}.5^{25}.13^{22}.5^{16}.7^{16}}{3^{52}.13^{22}.5^{22}.2^{34}.7^{17}.5^{18}}\)
\(=\dfrac{2.5^3}{3^2.5^2.7}=\dfrac{2.5}{3^2.7}=\dfrac{10}{63}\)
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Rút gọn phân số: \(\frac{2^{35}.45^{25}.13^{22}.35^{16}}{9^{26}.65^{22}.28^{17}.25^9}\) ( Nhập dưới dạng phân số tối giản )
\(\frac{2^{35}.9^{25}.5^{25}.13^{22}.7^{16}.5^{16}}{9^{26}.13^{22}5.^{22}.7^{17}.4^{17}.5^{2.9}}=2^{\left(35-2.17\right)}.9^{\left(25-26\right)}.5^{\left(25+16\right)-\left(22+2.9\right)}.13^{22-22}.7^{16-17}.\)
\(2^1.9^{-1}.5^1.13^0.7^{-1}=\frac{2.5}{9.7}=\frac{10}{63}\)
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Rút gọn biểu thức: a) x + 51 + (-56) + 24; b) (-65) - ( x + 27) + 26 c) 813 - ( 813 - x) + 213 d) 125 - (125 - x) + 22
