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\(b,2^3x5^3-3x\left\{400-\left[673-2^3x\left(7^8:7^6+7^0\right)\right]\right\}\)
\(=1000-3x\left\{400-\left[673-8x\left(7^2+1\right)\right]\right\}\)
\(=1000-3x\left\{400-\left[673-8x50\right]\right\}\)
\(=1000-3x\left\{400-\left[673-400\right]\right\}\)
\(=1000-3x\left\{400-273\right\}\)
\(=1000-3x127\)
\(=1000-381\)
\(=619\)
\(a,1968:16+5136:16-704:16\)
\(=\left(1968+5136-704\right):16\)
\(=6400:16\)
\(=400\)
A = 3 + 32 + 33 + ... + 3100
=> 3A = 3(3 + 32 + 33 + ... + 3100)
=> 3A = 32 + 33 + 34 + ... + 3101
=> 3A - A = (32 + 33 + 34 + ... + 3101) - (3 + 32 + 33 + ... + 3100)
=> 2A = 3101 - 3
=> A = (3101 - 3) : 2
a)
\(-68+\left(-72\right)+2017+\left(-28\right)+168.\)
\(=\left(-68+168\right)+\left(-28-72\right)+2017.\)
\(=\left(168-68\right)+\text{ }\left[-\left(72+28\right)\right]+2017.\)
\(=100+\left(-100\right)+2017.\)
\(=100-100+2017.\)
\(=2017\)
b)
\(\left|-28\right|+\left(129-182+99\right)\)\(-\left(129+199-182\right)\)
\(=28+129-182+99\)\(-129-199+182.\)
\(=28+\left(129-129\right)+\left(182-182\right)\)\(-\left(199-99\right)\)
\(=28+0+0-100.\)
\(=-\left(100-28\right)\)
\(=-72\)
c)
\(17\left(-83\right)+18\times83.\)
\(=-17\left(83\right)+18\left(83\right)\)
\(=83\left[18+\left(-17\right)\right]\)
\(=83\left(18-17\right)\)
\(=83\left(1\right)\)
\(=83\)
d)
\(2018^0-\left(15^2\div\left[175+\left(2^3\times5^2-6\times25\right)\right]\right).\text{ }\)
\(=1-\left(15^2\div\left[175+\left(8\times25-6\times25\right)\right]\right)..\)
\(=1-\left(15^2\div\left[175+\left(25\left[8-6\right]\right)\right]\right)\)
\(=1-\frac{15^2}{175+\left(25\times2\right)}.\)
\(=1-\frac{15^2}{175+50}\)
\(=1-\frac{225}{225}\)
\(=1-1\)
\(=0\)
Học tốt
a)7^2+9.8-1 b)=5^3(52+7^2)-25 c)rút gọn rồi làm d) số số hạng của tổng lá NHỚ K NHA
=49+71 =..... (150-10):2+1=71
=130 tổng trên là (150+10).71:2=5680
Ta có :
a) \(5^9:5^7+2^4.3-29.2012^0\)
\(=5^2+16.3-29.1\)
\(=25+48-29=44\)
b) \(\left[32+\left(-17\right)+\left(-15\right)+\left(-34\right)\right]+\left(-\left|-56\right|\right)\)
\(=\left[34-2-17-15-34\right]+\left(-56\right)\)
\(=\left[0-2-17-15\right]-56\)
\(=-34-56=-90\)
s1=1+2+3+...+99
s1=99+98+...+1
2s1=100+100+....+100
2s1=100.99
s1=100.99:2=4950(mấy bài sau lam tương tự nha)
4+4^2+4^3+...+4^90 chia hết cho 21
=(4+4^2+4^3)+...+(4^88+4^89+4^90)
=84.1+(4^4+4^5+4^6+...+4^90)
vì 84 chia hết cho 21 suy ra tổng trên chia hét cho 21 (ĐPCM)
a: \(274+351+126-151\)
\(=274+126+351-151\)
=400+200
=600
b: \(5^7:5^5\cdot3\cdot7\cdot4\)
\(=5^2\cdot21\cdot4\)
\(=21\cdot100=2100\)
c: \(164\cdot27+164\cdot73-400\)
\(=164\left(27+73\right)-400\)
=16400-400
=16000
d: \(300-2\cdot\left[\left(6^2-32\right):2^2+99\right]\)
\(=300-2\left[\dfrac{\left(36-32\right)}{4}+99\right]\)
=300-200
=100