1-2-3-4+9-10-11-12+32
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\(\dfrac{4}{5}\) : (\(\dfrac{4}{5}\) .- \(\dfrac{5}{4}\)) : (\(\dfrac{16}{25}\) - \(\dfrac{1}{5}\))
= \(\dfrac{4}{5}\) : (-1) : (\(\dfrac{16}{25}\) - \(\dfrac{5}{25}\))
= -\(\dfrac{4}{5}\) : \(\dfrac{11}{25}\)
= - \(\dfrac{4}{5}\) x \(\dfrac{25}{11}\)
= - \(\dfrac{20}{11}\)
\(\dfrac{4}{5}\): (\(\dfrac{4}{5}\).-\(\dfrac{5}{4}\)) : (\(\dfrac{16}{25}\) - \(\dfrac{1}{5}\))
=\(\dfrac{4}{5}\) x - 1: (\(\dfrac{16}{25}\) - \(\dfrac{5}{25}\))
= - \(\dfrac{4}{5}\) : \(\dfrac{11}{25}\)
= - \(\dfrac{4}{5}\) x \(\dfrac{25}{11}\)
= - \(\dfrac{20}{11}\)
\(\dfrac{11}{12}\): (\(\dfrac{7}{9}\) + - \(\dfrac{1}{3}\)) - (\(\dfrac{2}{3}\) - \(\dfrac{5}{15}\))
= \(\dfrac{11}{12}\) : (\(\dfrac{7}{9}\) - \(\dfrac{3}{9}\)) - (\(\dfrac{2}{3}\) - \(\dfrac{1}{3}\))
= \(\dfrac{11}{12}\) : \(\dfrac{4}{9}\) - \(\dfrac{1}{3}\)
= \(\dfrac{11}{12}\) x \(\dfrac{9}{4}\) - \(\dfrac{1}{3}\)
= \(\dfrac{99}{48}\) - \(\dfrac{16}{48}\)
= \(\dfrac{83}{48}\)
số số hạng là :
( 1000000 - 1 ) : 1 + 1 = 1000000
tổng là :
( 1000000 + 1 ) x 1000000 : 2 = 500000500000
đáp số : 500000500000
a) \(4^8\cdot4^4=\left(2^2\right)^8\cdot\left(2^2\right)^4=2^{16}\cdot2^8=2^{16+8}=2^{24}\)
b) \(5^{12}\cdot7-5^{11}\cdot10\)
\(=5^{11}\cdot\left(5\cdot7-10\right)=5^{11}\cdot\left(35-10\right)=5^{11}\cdot25\)
\(=5^{11}\cdot5^2=5^{11+2}=5^{13}\)
d) \(27^{16}:9^{10}\)
\(=\left(3^3\right)^{16}:\left(3^2\right)^{10}=3^{48}:3^{20}=3^{48-20}=3^{28}\)
e) \(125^3:25^4=\left(5^3\right)^3:\left(5^2\right)^4=5^9:5^8=5^{9-8}=5\)
f) \(24^4:3^4-32^{12}:16^{12}\)
\(=\left(24:4\right)^4-\left(32:16\right)^{12}\)
\(=6^4-2^{12}\)
\(=2^4\cdot\left(3^4-2^8\right)=2^4\cdot-175=-2800\)
8 )
- 12 = 1\(|x+12|=13\)
\(\Rightarrow\orbr{\begin{cases}x+12=13\\x+12=-13\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=-25\end{cases}}\)
Vậy \(x\in\left\{1;-25\right\}\)
9) 135 -\(|9-x|=35\)
\(|9-x|=135-35\)
\(|9-x|=100\)
\(\Rightarrow\orbr{\begin{cases}9-x=100\\9-x=-100\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=-91\\x=109\end{cases}}\) Vậy x\(\in\left\{-91;109\right\}\) 10) 17+x-(352-400)=-32 17+x-352+400=-32 17+x-352 =(-32) - 400 17+x-352 =-432 17+x =(-432) + 352 17+x =-80 x =(-80) - 17 x =-97 Vậy x =-97 11) 2130 - (x+136) + 72 =-64 2130 - (x+136) =(-64) -72 2130 - (x+136) =-136 (x +136) = 2130 -(-136) x+136 =2266 x =2266 - 136 x =2130 Vậy x=2130 do sap an cơm nên chiều mình sẽ giải tiếp nha! sorryy
12) (x-2) - (-8) = -137
(x-2) +8 =-137
(x-2) =(-137) - 8
x-2 =-145
Vậy x=-145
13) 10-\(|x+3|=-4.\left(-10\right)\) 10- \(|x+3|=40\) \(|x+3|=\) 40+10 \(|x+3|=50\)
\(\Rightarrow\orbr{\begin{cases}x+3=50\\x+3=-50\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=50-3\\x=\left(-50\right)-3\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=20\\x=-53\end{cases}}\)
Vậy x\(\in\left\{20;-53\right\}\)
Lớp 4 đã học số âm đâu nhỉ?
1 - 2 - 3 - 4 + 9 - 10 - 11 - 12 + 32
= (1 - 2 - 3 - 4) + (9 - 10 - 11 - 12) + 32
= (-8) + (-24) + 32
= -32 + 32
= 0