Câu hỏi: Tính nhanh
-15,5.20,8+3,5.9,2-15,5.9,2+3,5.20,8
(Ai là hs giỏi toán, nhanh lên nào!!!)
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\(15,5\cdot20,8-3,5\cdot9,2-15,5\cdot9,2+3,5\cdot20,8\)
\(=15,8\left(20,8-9,2\right)+3,5\left(-9,2+20,8\right)\)
\(=15,5\cdot11,6+3,5\cdot11,6\)
\(=11,6\left(15,5+3,5\right)=11,6\cdot19=220,4\)
Ta có: \(15,5.20,8-3,5.9,2-15,5.9,2+3,5.20,8\)
\(=\left(15,5.20,8+3,5.20,8\right)-\left(3,5.9,2+15,5.9,2\right)\)
\(=20,8\left(15,5+3,5\right)-9,2\left(3,5+15,5\right)\)
\(=395,2-174,8=220,4\)
Dễ mà bạn:
a) Cho A=1/100-1/100.99-1/99.98-...-1/3.2-1/2.1
\(A=\frac{1}{100}-\left(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{98.99}+\frac{1}{99.100}\right)\)
\(A=\frac{1}{100}-\left(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{98}-\frac{1}{99}+\frac{1}{99}-\frac{1}{100}\right)\)
\(A=\frac{1}{100}-\left(1-\frac{1}{100}\right)=\frac{1}{100}-\frac{99}{100}=-\frac{98}{100}=-\frac{49}{50}\)
b) \(-15,5.20,8+3,5.9,2-15,5.9,2+3,5.20,8=-15,5.\left(20,8+9,2\right)+3,5\left(9,2+20,8\right)\)
\(=-15,5.30+3,5.30=30\left(3,5-15,5\right)=30.\left(-12\right)=-360\)
3)Tính nhanh (nếu có):
e)1/100-1/100.99-1/99.98-...-1/3.2-1/2.1
g)-15,5.20,8+3,5.9,2-15,5.9,2+3,5.20,8
\(=-15.5\left(20.8+9.2\right)+3.5\left(9.2+20.8\right)\)
\(=30\cdot\left(-15.5+3.5\right)\)
\(=-12\cdot30=-360\)
a: \(=\dfrac{1.3-1.6}{2.6}-\dfrac{5}{6}:2\)
\(=-\dfrac{3}{26}-\dfrac{5}{12}\)
\(=\dfrac{-83}{156}\)
b: \(=20.8\left(-15.5+3.5\right)+9.2\left(3.5-15.5\right)\)
\(=-12\left(20.8+9.2\right)\)
\(=-12\cdot30=-360\)
e) \(\frac{1}{100}-\frac{1}{100.99}-\frac{1}{99.98}-...-\frac{1}{3.2}-\frac{1}{2.1}\)
\(=\frac{1}{100}-\left(\frac{1}{100.99}+\frac{1}{99.98}+...+\frac{1}{3.2}+\frac{1}{2.1}\right)\)
\(=\frac{1}{100}-\left(\frac{1}{1}-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{98}-\frac{1}{99}+\frac{1}{99}-\frac{1}{100}\right)\)
\(=\frac{1}{100}-\left(1-\frac{1}{100}\right)\)
\(=\frac{1}{100}-\frac{99}{100}\)
\(=\frac{-98}{100}\)\
\(=\frac{-49}{50}\)
g)-15,5 . 20,8 + 3,5.9,2 - 15,5.9,2 + 3,5.20,8
=20,8.(-15.5+3,5)+9,2(-15.5+3.5)
=(-15.5+3.5)(20.8+9.2)
=(-12).30
=-360
kết quả là -360 nhé bn