a,\(\frac{45x16-17}{45x15+28}\) b,5\(\frac{3}{4}\)x2\(\frac{1}{2}\)+\(\frac{7}{2}\):\(1\frac{1}{4}\)
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
Đặt \(A=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^8}\)
\(\Leftrightarrow\)\(3A=1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^7}\)
\(\Leftrightarrow\)\(3A-A=\left(1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^7}\right)-\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+...+\frac{1}{3^8}\right)\)
\(\Leftrightarrow\)\(2A=1-\frac{1}{3^8}\)
\(\Leftrightarrow\)\(2A=\frac{3^8-1}{3^8}\)
\(\Leftrightarrow\)\(A=\frac{3^8-1}{3^8}:2\)
\(\Leftrightarrow\)\(A=\frac{3^8-1}{3^8}.\frac{1}{2}\)
\(\Leftrightarrow\)\(A=\frac{3^8-1}{2.3^8}\)
b) Đặt \(A=\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+.....+\frac{1}{3^8}\)
\(\Rightarrow\)\(3A=1+\frac{1}{3}+\frac{1}{3^2}+....+\frac{1}{3^7}\)
\(\Rightarrow\)\(3A-A=\left(1+\frac{1}{3}+\frac{1}{3^2}+...+\frac{1}{3^7}\right)-\left(\frac{1}{3}+\frac{1}{3^2}+\frac{1}{3^3}+....+\frac{1}{3^8}\right)\)
\(\Rightarrow\)\(2A=1-\frac{1}{3^8}\)
\(\Rightarrow\)\(A=\frac{1-\frac{1}{3^8}}{2}\)
\(\frac{45x16-17}{45x15+28}\)
\(\frac{45.16-17}{45.15+28}=\frac{45.15+45-17}{45.15+28}=\frac{45.15+28}{45.15+28}=1\)
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:
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_
\(17,58\times43+5,7\times175,8=17,58\times10\times4,3+5,7\times175,8\)
\(=175,8\times4,3+5,7\times175,8\)
\(=175,8\times\left(4,3+5,7\right)=175,8\times10=1758\)
\(\frac{45X16-17}{45X15+28}\)
lớp 4 mình đã học rùi
để mình giải cho\(\frac{45X16-17}{45X15+28}=\frac{45X\left(15+1\right)-17}{45X15+28}=\frac{45X15+45X1-17}{45X15+28}=\frac{45X15+45-17}{45X15+28}\)=\(\frac{45X15+28}{45X15+28}\)
rút gọn đi ta được 1
Đáp số 1
1 . Tính nhanh:
a)\(\frac{16x17-5}{16x16+11}\)
b) \(\frac{45x16-17}{28+45x15}\)
ai làm nhanh nhất mình tick
ths các bạn nhìu nha!!^^
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:
a,\(\frac{\left(3+\frac{1}{6}\right)-\frac{2}{5}}{\left(5-\frac{1}{6}\right)+\frac{7}{10}}\)
b,\(\frac{\left(4,08-\frac{2}{25}\right):\frac{4}{17}}{\left(6\frac{5}{9}-3\frac{1}{4}\right)x2\frac{2}{7}}\)
c,\(\frac{2-\frac{1}{4}+\frac{1}{3}-\frac{3}{5}}{3-\frac{1}{5}-\frac{5}{3}}\)
Tính bằng cách thuận tiện nhất:
a)
\(\frac{45x16-17}{28+45x15}\)
45 × 16 - 17 / 28 + 45 × 15
= 45 × (15 + 1) - 17 / 28 + 45 × 15
= 45 × 15 + (45 - 17) / 28 + 45 × 15
= 45 × 15 + 28 / 28 + 45 × 15
= 1
\(\frac{45\times16-17}{28+45\times15}\)
\(=\frac{45\left(15+1\right)-17}{28+45\times15}\)
\(=\frac{45\times15+\left(45-17\right)}{28+45\times15}\)
\(=\frac{45\times15+28}{28+45\times15}\)
\(=1\)