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\(A=11,44+12,56-30,05+1024\)
\(=24-30,56+1024\)
\(=-6,05+1024\)
\(=1017,95\)
1,
\(\begin{array}{l}2,5.\left( {4,1 - 3 - 2,5 + 2.7,2} \right) + 4,2:2\\ = 2,5.\left( {4,1 - 3 - 2,5 + 14,4} \right) + 4,2:2\\ = 2,5.\left( {1,1 - 2,5 + 14,4} \right) + 2,1\\ = 2,5.\left( { - 1,4 + 14,4} \right) + 2,1\\ = 2,5.13 + 2,1\\ = 32,5 + 2,1\\ = 34,6\end{array}\)
2,
Cách 1:
\(\begin{array}{l}2,86.4 + 3,14.4 - 6,01.5 + {3^2}\\ = 11,44 + 12,56 - 30,05 + 9\\ = \left( {11,44 + 12,56} \right) + \left( { - 30,05 + 9} \right)\\ = 24 + \left( { - 21,05} \right)\\ = 24 - 21,05\\ = 2,95\end{array}\)
Cách 2:
\(\begin{array}{l}2,86.4 + 3,14.4 - 6,01.5 + {3^2}\\ = 4.(2,86+3,14) - 30,05 + 9\\ = 4.6 + \left( { - 30,05 + 9} \right)\\ = 24 + \left( { - 21,05} \right)\\ = 24 - 21,05\\ = 2,95\end{array}\)
Lời giải chi tiết
12 1 13 12 – 02 (0 + 1)2 02 +12
22 1 + 3 23 32 – 12 (1 + 2)2 12 + 22
32 1 + 3 + 5 33 62 – 32 (2 + 3)2 22 + 32
43 102 – 62
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A= 1+2+22+23+24 / 1+2+22+23=20+....+24/ 20+....+23
=>rút gọn vế trái và vế phải ta được kết quả là ;24=16
B thì làm tương tự bài trên
chúc bạn họ tốt !
\(A=\frac{\left(1+2+2^2+2^3+2^4\right)}{\left(1+2+2^2+2^3\right)}\)
\(A=\frac{2^4\left(1+2+2^2+2^3\right)}{\left(1+2+2^2+2^3\right)}\)
\(A=2^4=16\)
\(B=\frac{\left(1+3+3^2+3^3+3^4\right)}{\left(1+3+3^2+3^3\right)}\)
\(B=\frac{3^4\left(1+3+3^2+3^3\right)}{\left(1+3+3^2+3^3\right)}\)
\(B=3^4=81\)
\(\text{Ta co }A=16< B=81\)
\(\Rightarrow A< B\)
a, 3.5^2 + 15.2^2 - 26 :2
=3.25 + 15.4 -13
=75+60-13=122
b,5^3 .2 -100:4 +2^3.5
=125.2-25+8.5=250-25+40=265
c,6^2:9 + 50.2-3^3.3
=36 : 9 + 100 -9 .3
=4 + 100 -27
=77
d,3^2 .5 +2^3 . 10 - 81:3
=9.5 + 8.10 -27
=45 + 80 -27
=98
a) \(\left(3^2-2\right).\left(x-12+35\right)\)\(=\)\(5^2+279:5\)
\(7.\left(x-12+35\right)=80,8\)
\(x-12+35=80,8:7\)
\(x-12+35=\frac{404}{35}\)
\(x-12=\frac{404}{35}-35\)
\(x-12=\frac{-821}{35}\)
\(x=\frac{-821}{35}+12\)
\(x=\frac{-401}{35}\)
b) \(260:\left(x+4\right)\)\(=\)\(5\left(2^3+5\right)-3\left(3^2+2^2\right)\)
\(260:\left(x+4\right)=26\)
\(x+4=260:26\)
\(x+4=10\)
\(x=10-4\)
\(x=6\)
c) \(7^{x-3}=343\)
\(7^x:7^3=343\)
\(7^x=343.7^3\)
\(7^x=117649\)
vì \(117649=7^6\Rightarrow x=6\)
d) \(\left(x-3\right)^{2017}=\left(x-3\right)^{2016}\)
\(\Rightarrow\hept{\begin{cases}x-3=1\\x-3=0\end{cases}\Rightarrow\hept{\begin{cases}x=4\\x=3\end{cases}}}\)
e) \(\left(2^3+3\right).\left(x-5\right)+14\)\(=\)\(5^2+124:2^2\)
\(\left(2^3+3\right).\left(x-5\right)+14=56\)
\(\left(2^3+3\right).\left(x-5\right)=56-14\)
\(\left(2^3+3\right).\left(x-5\right)=42\)
\(x-5=42:\left(2^3+3\right)\)
\(x-5=\frac{42}{11}\)
\(x=\frac{42}{11}+5\)
\(x=\frac{97}{11}\)
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