tính hợp lí
a)\(\frac{45x16-17}{45x15-28}\)
b)\(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^8}\)
c)136.68+16x272
a,\(\frac{45x16-17}{45x15+28}\) b,5\(\frac{3}{4}\)x2\(\frac{1}{2}\)+\(\frac{7}{2}\):\(1\frac{1}{4}\)
a) \(\frac{45x16-17}{45x15+28}=\frac{45x\left(15+1\right)-17}{45x15+28}\)\(=\frac{45x15+45-17}{45x15+28}=\frac{45x15+28}{45x15+28}=1\)
b) \(5\frac{3}{4}x2\frac{1}{2}+\frac{7}{2}:1\frac{1}{4}=\frac{23}{4}x\frac{5}{2}+\frac{7}{2}:\frac{5}{4}=\frac{115}{8}+\frac{7}{2}x\frac{4}{5}=\frac{115}{8}+\frac{14}{5}=\frac{575+112}{40}=\frac{678}{40}\)
tính nhanh:
a, 17,58 x 43 + 5,7 x 175,8
b, \(\left(1-\frac{1}{2}\right)\)x \(\left(1-\frac{1}{3}\right)\)x.....x \(\left(1-\frac{1}{2018}\right)\)
c,\(\frac{45x16-17}{45x15+28}\)
\(17,58\times43+5,7\times175,8\)
\(=17,58\times43+5,7\times10\times17,58\)
\(=17,58\times43+57\times17,58\)
\(=17,58\times\left(43+57\right)\)
\(=17,58\times100\)
\(=1758\)
_Chúc bạn học tốt_
\(17,58\times43+5,7\times175,8=17,58\times10\times4,3+5,7\times175,8\)
\(=175,8\times4,3+5,7\times175,8\)
\(=175,8\times\left(4,3+5,7\right)=175,8\times10=1758\)
3.Tính hợp lí:
a,\(\frac{17}{5}.\frac{-31}{125}.\frac{1}{2}.\frac{10}{17}.\frac{-1}{2^3}\)
b,\(\left(\frac{11}{4}.\frac{5}{9}-\frac{4}{9}.\frac{11}{4}\right).\frac{8}{33}\)
c,\(\left(\frac{17}{28}+\frac{18}{29}-\frac{19}{30}-\frac{20}{31}\right).\left(\frac{-5}{12}+\frac{1}{4}+\frac{1}{6}\right)\)
4.Tìm tích:
a,\(\left(\frac{1}{2}+1\right)\left(\frac{1}{3}+1\right).....\left(\frac{1}{99}+1\right)\)
b,\(\left(\frac{1}{2}-1\right)\left(\frac{1}{3}-1\right).....\left(\frac{1}{100}-1\right)\)
c,\(\frac{3}{2^2}.\frac{8}{3^2}.\frac{15}{4^2}....\frac{899}{30^2}\)
AI CÒN THỨC THÌ GIÚP MIK VS,MIK ĐANG CẦN GẤP
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a} đây là biểu thức gì\)
\(\frac{45x16-17}{45x15+28}\)
\(\frac{45.16-17}{45.15+28}=\frac{45.15+45-17}{45.15+28}=\frac{45.15+28}{45.15+28}=1\)
45 × 16 - 17/45 × 15 + 28
= 45 × (15 + 1) - 17/45 × 15 + 28
= 45 × 15 + (45 - 17)/45 × 15 + 28
= 45 × 15 + 28/45 × 15 + 28
= 1
\(\frac{45x16-17}{45x15+28}\) = \(\frac{45x15+45-17}{45x15+28}\) = \(\frac{45x15-28}{45x15+28}\) = 1
Tính nhanh: \(\frac{45x16-17}{45x15+28}\)
Tính
\(\frac{45x16-17}{45x15+28}\)
\(\frac{45.16-17}{45.15+28}=\frac{45.\left(15+1\right)-17}{45.15+28}=\frac{45.15+45-17}{45.15+28}=\frac{45.15+28}{45.15+28}=1\)
\(\frac{45x16-17}{45x15+28}=\frac{45x15-17+45}{45x15+28}=\frac{45x15+28}{45x15+28}=1\)
Tính nhanh:\(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}\)
b,\(\frac{45+16-17}{45x15+18}\)
HELP ME PLEASE!!
Đặt A = \(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}\)
3A = \(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}\)
3A - A = (\(1+\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}\)) - (\(\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}+\frac{1}{243}+\frac{1}{729}\))
2A = 1 - \(\frac{1}{729}\) = \(\frac{728}{729}\)
A = \(\frac{728}{729}:2=\frac{364}{729}\)
Câu 1: Thực hiện phép tính bằng cách hợp lí
\(\frac{15}{35}+\frac{7}{21}+\frac{19}{34}-1\frac{15}{17}+\frac{2}{3}\)
\(\left(-2\right)^3.\left(\frac{3}{4}-0,25\right):\left(2\frac{1}{4}-1\frac{1}{6}\right)\)
\(16\frac{2}{7}:\left(-\frac{3}{5}\right)+28\frac{2}{7}:\left(-\frac{3}{5}\right)\)
Câu 2: Tìm x biết
\(2.x-\frac{5}{4}=\frac{20}{15}\)
\(1,5:0,3=x:-15\)
\(|2x-1|=2\)
Câu 3: Thực hiện phép tính hợp lí
\(\frac{11}{12}.\frac{15}{33}+\frac{11}{12}.\frac{2}{22}\)
\(3/3\frac{1}{8}.11\frac{17}{19}-3\frac{1}{8}.13\frac{17}{19}\)
\(28\frac{2}{7}:\left(-\frac{3}{5}\right)+16\frac{2}{7}:\left(-\frac{3}{5}\right)\)
Tính:
a) \(A=\frac{(1+17)(1+\frac{17}{2})(1+\frac{17}{3})...(1+\frac{17}{19})}{(1+19)(1+\frac{19}{2})(1+\frac{19}{3})...(1+\frac{19}{17})}\)
b) \(B=\frac{1}{-2}.\frac{1}{3}+\frac{1}{-3}.\frac{1}{4}+...+\frac{1}{-5}.\frac{1}{10}\)
c) \(C=(1-\frac{1}{1.2})+(1-\frac{1}{2.3})+...+(1-\frac{1}{2015.2016})\)
d) \(D=\frac{\frac{9}{1}+\frac{8}{2}+\frac{7}{3}+...+\frac{1}{9}}{\frac{1}{2}+\frac{1}{3}+\frac{1}{3}+...+\frac{1}{10}}\)