Tính nhanh:
9/24 : 5/2 + 8/24 :5/2+7/24 : 5/2
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a)12+24+35-2-14-25=30
b)1-2+3-4+5-6+7-8+9=5
c)25-12-3+24+36=70
1.
$(5^{1986}-5^{1985}):5^{1985}=5^{1985}(5-1):5^{1985}=5-1=4$
2.
\((7^{846}+7^{847}):7^{846}=7^{846}(1+7):7^{846}=1+7=8\)
3.
\((9^{2018}-3^{4036}):6^{2006}=[(3^2)^{2018}-3^{4036}]:6^{2006}\)
$=(3^{4036}-3^{4036}):6^{2006}=0:6^{2006}=0$
4.
$(7^{80}.8^{70}-56^{70}):56^{70}$
$=[7^{10}(7.8)^{70}-56^{70}]:56^{70}$
$=[7^{10}.56^{70}-56^{70}]:56^{70}$
$=56^{70}(7^{10}-1):56^{70}=7^{10}-1$
5.
$4^{4016}:(4^{4017}-4^{4016})=4^{4016}:[4^{4016}(4-1)]$
$=4^{4016}:4^{4016}:3=1:3=\frac{1}{3}$
6.
$(12^{206}.2^{207}-24^{206}):24^{206}$
$=(12^{206}.2^{206}.2-24^{206}):24^{206}$
$=[(12.2)^{206}.2-24^{206}]:24^{206}$
$=(24^{206}.2-24^{206}):24^{206}$
$=24^{206}(2-1):24^{206}=2-1=1$
7.
$(5^2-24)^{8946}+4^{30}:2^{60}=1^{8946}+(2^2)^{30}:2^{60}$
$=1+2^{60}:2^{60}=1+1=2$
8.
$(37.8^{1007}-7.2^{3021}):8^{1007}=[37.8^{1007}-7.(2^3)^{1007}]:8^{1007}$
$=[37.8^{1007}-7.8^{1007}]:8^{1007}$
$=8^{1007}(37-7):8^{1007}=37-7=30$
a)( x+ 5)+(x-9)=x+2
x + 5 + x - 9 = x + 2
x + x - x = 2 -5 +9
x = 6
b)( 27 -x) +( 15+x )=x-24
-x + x - x = -24 -27 -15
-x = -66
x=66
hok tốt!
b)1/2*2/3*3/4*4/5*5/6*6/7*7/8*8/9*9/10
=1x2x3x4x5x6x7x8x9
2x3x4x5x6x7x8x9x10
= 1
10
2/3 + 7/1 = 2/3 + 7 = 2/3 + 21/3 = 23/3
25/48 + 11/24 = 25/48 + 22/48 = 47/48
5/7 + 3/8 = 40/56 + 21/56 = 61/56
15/24 + 12/6 = 5/8 + 2 = 5/8 + 16/8 = 21/8
5/6 + 4/3 = 5/6 + 8/6 = 13/6
3/8 + 7/12 = 9/24 + 14/24 = 23/24
a) \(\dfrac{2}{5}\cdot\dfrac{1}{7}+\dfrac{2}{5}\cdot\dfrac{5}{7}+\dfrac{2}{5}\)
\(=\dfrac{2}{5}\left(\dfrac{1}{7}+\dfrac{5}{7}+1\right)\)
\(=\dfrac{2}{5}\cdot\dfrac{13}{7}=\dfrac{26}{35}\)
b) \(\dfrac{1}{5}+\dfrac{2}{8}+\dfrac{4}{5}+\dfrac{7}{8}-\dfrac{1}{8}\)
\(=\left(\dfrac{1}{5}+\dfrac{4}{5}\right)+\left(\dfrac{2}{8}+\dfrac{7}{8}-\dfrac{1}{8}\right)\)
\(=1+1=2\)
c)\(\dfrac{24}{36}\cdot\dfrac{10}{12}\cdot36\)
\(=\dfrac{24\cdot10\cdot36}{36\cdot12}=\dfrac{12\cdot2\cdot10\cdot36}{12\cdot36}\)
\(=2\cdot10=20\)
\(3-\left(\frac{43}{8}+x-\frac{173}{24}\right):\frac{50}{3}=2\)
\(3-\left(\frac{43}{8}+x-\frac{173}{24}\right)=2×\frac{50}{3}\)
\(3-\left(\frac{43}{8}+x-\frac{173}{24}\right)=\frac{100}{3}\)
\(\left(\frac{43}{8}+x-\frac{173}{24}\right)=3-\frac{100}{3}\)
\(\left(\frac{43}{8}+x-\frac{173}{24}\right)=-\frac{91}{3}\)
\(\frac{43}{8}+x=-\frac{91}{3}+\frac{173}{24}\)
\(\frac{43}{8}+x=-\frac{185}{8}\)
\(x=-\frac{185}{8}-\frac{43}{8}\)
\(x=-\frac{57}{2}\)
vậy \(x=-\frac{57}{2}\)
nhầm
\(3-\left(\frac{43}{8}+x-\frac{173}{24}\right):\frac{50}{3}=2\)
\(\left(\frac{43}{8}+x-\frac{173}{24}\right):\frac{50}{3}=3-2\)
\(\left(\frac{43}{8}+x-\frac{173}{24}\right):\frac{50}{3}=1\)
\(\left(\frac{43}{8}+x-\frac{173}{24}\right)=1×\frac{50}{3}\)
\(\left(\frac{43}{8}+x-\frac{173}{24}\right)=\frac{50}{3}\)
\(\frac{43}{8}+x=\frac{50}{3}+\frac{173}{24}\)
\(\frac{43}{8}+x=\frac{191}{8}\)
\(x=\frac{191}{8}-\frac{43}{8}\)
\(x=\frac{37}{2}\)
vậy \(x=\frac{37}{2}\)
\(\dfrac{9}{24}:\dfrac{5}{2}+\dfrac{8}{24}:\dfrac{5}{2}+\dfrac{7}{24}:\dfrac{5}{2}\)
\(=\left(\dfrac{9}{24}+\dfrac{8}{24}+\dfrac{7}{24}\right):\dfrac{5}{2}\)
\(=1:\dfrac{5}{2}=\dfrac{2}{5}\)
2/5