Question

[Cori]

1) Tính nhanh

a) 12,5 x 32 x 8                   

b) 20,9 + 20,9 x 99

c) 1/1x2  + 1/2x3 + 1/3x4 +.......1/49x50

2) Tìm y biết

a) 45 - 5 x (y + 1) = 10

b) y : 2 + y : 2 = 15

Answer 1

[Khánh Ngọc]

1.

c. \(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{49.50}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{49}-\frac{1}{50}\)

\(=1-\frac{1}{50}\)

\(=\frac{49}{50}\)

2. 

a. \(45-5\left(y+1\right)=10\)

\(\Rightarrow5\left(y+1\right)=35\)

\(\Rightarrow y+1=7\)

\(\Rightarrow y=6\)

b. \(y:2+y:2=15\)

\(\Rightarrow\frac{1}{2}y+\frac{1}{2}y=15\)

\(\Rightarrow y=15\)

Answer 2

[Trang]

Bài 1 :

\(a,12,5\times32\times8\)

\(=\left(12,5\times8\right)\times32\)

\(=100\times32\)

\(=3200\)

\(b,20,9+20,9\times99\)

\(=20,9\times\left(1+99\right)\)

\(=20,9\times100\)

\(=2090\)

\(c,\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+....+\frac{1}{49.50}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+....+\frac{1}{49}-\frac{1}{50}\)

\(=1-\frac{1}{50}\)

\(=\frac{50}{50}-\frac{1}{50}\)

\(=\frac{49}{50}\)

Bài 2 :

\(a,45-5\times\left(y+1\right)=10\)

\(5\times\left(y+1\right)=45-10\)

\(5\times\left(y+1\right)=35\)

\(y+1=35\div5\)

\(y+1=7\)

\(y=7-1\)

\(y=6\)

\(b,y\div2+y\div2=15\)

\(y\times\frac{1}{2}+y\times\frac{1}{2}=15\)

\(2\times\left(y\times\frac{1}{2}\right)=15\)

\(y=15\)

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