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Bài 1 : Thực hiện phép tính
a/ $7^6 : 7^5-|-9|=7-9=-2$
b/ $75-(2.5^2 - 7.2^3)=75-2(5^2-7.2^2)=75-2(25-28)=75+6=81$
c/ $(-6) 6:(-6):36=6:36=1:6= \frac{1}{6}$
Bài 2 : Tính nhanh
a) $81.8^2 - 10^2 + 9^2.36=3^4.2^6-10^2+3^4.6^2=3^4(2^6+6^2)-100=3^4.100-100=80.100-8000$
b) $(-1254 + 37 ) - ( -63- 1254 + 100 )=-1254+1254+37+63-100=0+0=0$
c)$18.17-3.6.27=18.17-18.27=18(17-27)=18.(-10)=-180$
\(1,\\ x+\dfrac{1}{2}=-\dfrac{5}{3}\\ x=-\dfrac{5}{3}-\dfrac{1}{2}\\ x=-\dfrac{13}{6}\\ Vậyx=-\dfrac{13}{6}\)
\(2,\\ \dfrac{1}{3}-x=\dfrac{3}{5}\\ x=\dfrac{1}{3}-\dfrac{3}{5}\\ x=-\dfrac{4}{15}\\ Vậyx=-\dfrac{4}{15}\)
\(3,\\ 3-4+x=\dfrac{7}{2}\\ -1+x=\dfrac{7}{2}\\ x=\dfrac{7}{2}+1\\ x=\dfrac{9}{2}\\ Vậyx=\dfrac{9}{2}\)
\(4,\\ x-\dfrac{4}{3}=-\dfrac{7}{9}\\ x=-\dfrac{7}{9}+\dfrac{4}{3}\\ x=\dfrac{15}{27}\\ Vậyx=\dfrac{15}{27}\)
\(5,\\ x-\left(-\dfrac{7}{3}\right)=\dfrac{5}{6}\\ x=\dfrac{5}{6}-\dfrac{7}{3}\\ x=-\dfrac{27}{18}\\ Vậyx=-\dfrac{27}{18}\)
\(6,\\ x-\dfrac{1}{5}=\dfrac{9}{10}\\ x=\dfrac{9}{10}+\dfrac{1}{5}\\ x=\dfrac{11}{10}\\ Vậyx=\dfrac{11}{10}\)
\(7,\\ x+\dfrac{5}{12}=\dfrac{3}{8}\\ x=\dfrac{3}{8}-\dfrac{5}{12}\\ x=-\dfrac{1}{24}\\ Vậyx=-\dfrac{1}{24}\)
\(8,\\ x+\dfrac{5}{4}=\dfrac{7}{6}\\ x=\dfrac{7}{6}-\dfrac{5}{4}\\ x=-\dfrac{9}{24}\\ Vậyx=-\dfrac{9}{24}\)
\(9,\\ x-\dfrac{2}{7}=\dfrac{1}{35}\\ x=\dfrac{1}{35}+\dfrac{2}{7}\\ x=\dfrac{11}{35}\\ Vậyx=\dfrac{11}{35}\\ 10,\\ x-\dfrac{1}{5}=-\dfrac{7}{10}\\ x=-\dfrac{7}{10}+\dfrac{1}{5}\\ x=-\dfrac{1}{2}\\ Vậyx=-\dfrac{1}{2}\)
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\(a,4^8.2^{20}=\left(2^2\right)^8.2^{20}=2^{16}.2^{20}=2^{16+20}=2^{36}\\ b,9^{12}.27^5.81^4=\left(3^2\right)^{12}.\left(3^3\right)^5.\left(3^4\right)^4=3^{24}.3^{15}.3^{16}=3^{24+15+16}=3^{55}\\ d,25^{20}.125^4=\left(5^2\right)^{20}.\left(5^3\right)^4=5^{40}.5^{12}=5^{40+12}=5^{52}\\ d,x^7.x^4.x^3=x^{7+4+3}=x^{14}\)
a: 4*8*2^20=2^2*2^3*2^20=2^25
b: 9^12*27^5*81^4=3^24*3^15*3^16=3^55
c: 25^20*125^4=5^40*5^12=5^52
d: =x^(7+4+3)=x^14
Bài 1: Tính hợp lí:
a) (-81 -124) -(76 -81)
= -81 -124 - 76 +81
= (-81 + 81) - (124 + 76)
= 0 - 200 = -200
b) 1009 - (1009 +111) -89
= 1009 - 1009 - 111 -89
= (1009 - 1009) - ( 111 +89)
= 0 - 200 = -200
c) (-247 +63) -(63 - 247)
= -247 + 63 -63 + 247
= (-247 +247) + (63-63)
= 0+0 =0
d) 1254 - (459 - 1254) - 541
= 1254 - 459 + 1254 - 541
= (1254+1254) - (459 + 541)
= 2508 - 1000 = 1508
Bài 2: Tìm x
a)x - 148 - 2x - 150
(x-2x) - (148 + 150) = ?
-1x - 298 = ?
-1x = ? + 298
.... Từ đó tự giải tiếp
b)15 - (10-2x)-x-29
15 - 10 + 2x -x - 29 =?
(15-10-29) + (2x -x) =?
(-24) + x =?
x = ? + 24
... Từ đó tự giải tiếp
c) ( -2x + 12) -(3x -14)= (6x +1)+ (-12x -17)
-2x + 12 - 3x + 14 = 6x + 1 - 12x - 17
(-2x - 3x) + ( 12 + 14) = (6x - 12x) + (1-17)
(-5x) + 26= (-6x) + (-16)
(-5x) + 6x = (-16) - 26
x = -42
Chúc bạn học tốt ! ^^ ~~~
1/ \(x+\dfrac{1}{2}=\dfrac{-5}{3}\)
\(x=\dfrac{-5}{3}-\dfrac{1}{2}\)
\(x=\dfrac{-10}{6}-\dfrac{3}{6}\)
Vậy \(x=\dfrac{-13}{6}\)
2/\(\dfrac{1}{3}-x=\dfrac{3}{5}\)
\(-x=\dfrac{3}{5}-\dfrac{1}{3}\)
\(-x=\dfrac{9}{15}-\dfrac{5}{15}\)
\(-x=\dfrac{4}{15}\)
Vậy \(x=\dfrac{-4}{15}\)
3/ \(3-4+x=\dfrac{7}{2}\)
\(-4+x=\dfrac{7}{2}-3\)
\(-4+x=\dfrac{7}{2}-\dfrac{6}{2}\)
\(-4+x=\dfrac{1}{2}\)
\(x=\dfrac{1}{2}+4\)
\(x=\dfrac{1}{2}+\dfrac{8}{2}\)
Vậy \(x=\dfrac{9}{2}\)
4/ \(x-\dfrac{4}{3}=\dfrac{-7}{9}\)
\(x=\dfrac{-7}{9}+\dfrac{4}{3}\)
\(x=\dfrac{-7}{9}+\dfrac{12}{9}\)
Vậy \(x=\dfrac{5}{9}\)
5/ \(x-\dfrac{-7}{2}=\dfrac{5}{6}\)
\(x=\dfrac{5}{6}-\dfrac{7}{2}\)
\(x=\dfrac{5}{6}-\dfrac{21}{6}\)
Vậy \(x=\dfrac{-16}{6}=\dfrac{-8}{3}\)
6/ \(x-\dfrac{1}{5}=\dfrac{9}{10}\)
\(x=\dfrac{9}{10}+\dfrac{1}{5}\)
\(x=\dfrac{9}{10}+\dfrac{2}{10}\)
Vậy \(x=\dfrac{11}{10}\)
7/ \(x+\dfrac{5}{12}=\dfrac{3}{8}\)
\(x=\dfrac{3}{8}-\dfrac{5}{12}\)
\(x=\dfrac{9}{24}-\dfrac{10}{24}\)
Vậy \(x=\dfrac{-1}{24}\)
8/ \(x+\dfrac{5}{4}=\dfrac{7}{6}\)
\(x=\dfrac{7}{6}-\dfrac{5}{4}\)
\(x=\dfrac{14}{12}-\dfrac{15}{12}\)
Vậy \(x=\dfrac{-1}{12}\)
9/ \(x-\dfrac{2}{7}=\dfrac{1}{35}\)
\(x=\dfrac{1}{35}+\dfrac{2}{7}\)
\(x=\dfrac{1}{35}+\dfrac{10}{35}\)
Vậy \(x=\dfrac{11}{35}\)
10 /\(x-\dfrac{1}{5}=\dfrac{-7}{10}\)
\(x=\dfrac{-7}{10}+\dfrac{1}{5}\)
\(x=\dfrac{-7}{10}+\dfrac{2}{10}\)
Vậy \(x=\dfrac{-5}{10}=\dfrac{-1}{2}\)
Số số hạng của dãy là:
\(x-7+1=x-6\left(số\right)\)
Tổng của dãy số là \(\dfrac{\left(x-6\right)\left(x+7\right)}{2}\)
Theo đề, ta có: \(\dfrac{\left(x-6\right)\left(x+7\right)}{2}=1254\)
=>\(x^2+x-42=2\cdot1254=2508\)
=>\(x^2+x-2550=0\)
=>(x+51)(x-50)=0
=>\(\left[{}\begin{matrix}x+51=0\\x-50=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-51\\x=50\end{matrix}\right.\)
viết đoạn văn tả vịnh hạ long từ 5 đến 7 cứu mai mình thi khảo sát