52x-3 + 22 . 52 = 53
52x-3 + 4 . 25 = 125
52x-3 + 100 = 125
52x-3 = 125 - 100
52x-3 = 25
52x-3 = 52
2x - 3 = 2
2x = 2 + 3
2x = 5
x = 5 : 2
x = \(\dfrac{5}{2}\)
52x-3 + 22 . 52 = 53
52x-3 + 4 . 25 = 125
52x-3 + 100 = 125
52x-3 = 125 - 100
52x-3 = 25
52x-3 = 52
2x - 3 = 2
2x = 2 + 3
2x = 5
x = 5 : 2
x = \(\dfrac{5}{2}\)
Bài 2: Tính nhanh
a) 29 + 132 + 237 + 868 + 3
b) 35 . 34 + 35 . 86 + 65 . 75 + 65 . 5
c) 3 . 25 . 8 + 4 . 37 . 6 + 2 . 38 . 12
d) 12 . 53 + 53 . 172 – 53 . 84
Bài 3: Thực hiện phép tính (tính hợp lí nếu có thể)
a) 4 . 52 – 18 : 32
b) 32. 22 - 32 . 19
c) 24 . 5 - [131- (13 - 4)2]
d) 5871: [928 – ( 247 - 82) . 5] + 21750
Giúp mình với !!!
Bài 2: Tính hợp lý:
\(A=\dfrac{63636337-37373763}{1+2+3+...+2006}\)
\(B=1\dfrac{6}{41}\left(\dfrac{12+\dfrac{12}{19}-\dfrac{12}{37}-\dfrac{12}{53}}{3+\dfrac{1}{3}-\dfrac{3}{37}-\dfrac{3}{53}}:\dfrac{4+\dfrac{4}{17}+\dfrac{4}{19}+\dfrac{4}{2006}}{5+\dfrac{5}{17}+\dfrac{5}{19}+\dfrac{5}{2006}}\right)\dfrac{124242423}{237373735}\)
\(a,\dfrac{\dfrac{3}{41}-\dfrac{12}{47}+\dfrac{27}{53}}{\dfrac{4}{41}-\dfrac{16}{47}+\dfrac{36}{53}}+\dfrac{-0,25.\dfrac{-2}{3}-75\%:\left(\dfrac{-1}{2}+\dfrac{2}{3}\right)}{\left|-1\dfrac{1}{2}\right|.\left(\dfrac{-2}{3}-0,75:\dfrac{3}{-2}\right)}\)
Tính bằng cách hợp lí: \(B=1\dfrac{6}{41}\cdot\left(\dfrac{12+\dfrac{12}{19}-\dfrac{12}{37}-\dfrac{12}{53}}{3+\dfrac{1}{3}-\dfrac{3}{37}-\dfrac{3}{53}}:\dfrac{4+\dfrac{4}{17}+\dfrac{4}{19}+\dfrac{4}{2006}}{5+\dfrac{5}{17}+\dfrac{5}{19}+\dfrac{5}{2006}}\right)\cdot\dfrac{124242423}{237373735}\)
Thực hiện phép tính ( hợp lí nếu có thể ):
a) 2. 53 – 3. 2 + 45: 43
Tính hợp lí:
a.-3/4+3/7+-1/4+4/9+4/7
b. -7/9.4/11+-7/9.7/11+52/9
c. (21/31+2013/6039)-(44/53-10/31)-9/53
Giúp vs ak!!!
\(\frac{5}{1.3}+\frac{5}{3.5}+\frac{5}{5.7}+...+\frac{5}{99.101}\)
\(\frac{1}{18}+\frac{1}{54}+\frac{1}{108}+...+\frac{1}{990}\)
\(\frac{3}{41}-\frac{12}{47}+\frac{27}{53}\)
------------------
\(\frac{4}{41}-\frac{16}{47}+\frac{36}{53}\)
Tính nhanh (nếu có thể):
\(a,\frac{\frac{3}{41}-\frac{12}{47}+\frac{27}{53}}{\frac{4}{41}-\frac{16}{47}+\frac{36}{53}}+\frac{-0,25.\frac{-2}{3}-75\%:(\frac{-1}{2}+\frac{2}{3})}{|-1\frac{1}{2}|.(\frac{-2}{3}-0,75:\frac{3}{-2})}\)
\(b,A=158.(\frac{12-\frac{12}{7}-\frac{12}{289}-\frac{12}{85}}{4-\frac{4}{7}-\frac{4}{289}-\frac{4}{85}}:\frac{5+\frac{5}{13}+\frac{5}{169}+\frac{5}{91}}{6+\frac{6}{13}+\frac{6}{169}+\frac{6}{91}}).\frac{50550505}{711711711}\)
C/m S=1/51 +1/52 +1/53+...+1/100 ko là số tự nhiên
tính nhanh các tổng sau
a , 1 + 2+3+4 +5+....+n
b, 1+3+5+7+.....+(2n-1)
c , 2+4+6+8+....+2n
d, 1+6+11+ 16+.....+46+51
e, 2+5+11+....+47+65
g , 3+12+48+....+3072+12288
h, 2+5+17+12+.....+81+131
i, 49-51 +53-55+57-59+61-63+65
giup minh nha