Tính:
a, 3/4 * 2/9 + 1/3 = b, 1/4 : 1/3 - 1/2 =
a: =6/36+1/3=1/6+1/3=1/6+2/6=3/6=1/2
b: =3/4-1/2=3/4-2/4=1/4
\(a,\dfrac{3}{4}\times\dfrac{2}{9}+\dfrac{1}{3}=\dfrac{1}{6}+\dfrac{2}{6}=\dfrac{3}{6}=\dfrac{1}{2}\\ b,\dfrac{1}{4}:\dfrac{1}{3}-\dfrac{1}{2}=\dfrac{1}{4}\times\dfrac{3}{1}-\dfrac{2}{4}=\dfrac{3}{4}-\dfrac{2}{4}=\dfrac{1}{4}\)
a,34×29+13=16+26=36=12b,14:13−12=14×31−24=34−24=14
Thực hiện phép tính:
a) \({x^2}.{x^4}\); b) \(3{x^2}.{x^3}\); c) \(a{x^m}.b{x^n}\) (a ≠ 0; b ≠ 0; m, n \(\in\) N).
a) \({x^2}.{x^4} = {x^{2 + 4}} = {x^6}\).
b) \(3{x^2}.{x^3} = 3.1.{x^{2 + 3}} = 3{x^5}\).
c) \(a{x^m}.b{x^n} = a.b.{x^{m + n}}\) (a ≠ 0; b ≠ 0; m, n \(\in\) N).
Viết các STP sau dưới dạng ps rồi thực hiện phép tính:
a, A= 12,(4) - 9,(3) + 0,(18)
b, B= 0,3(21).0,878:0,53(21)
a: \(A=12,\left(4\right)-9,\left(3\right)+0,\left(18\right)\)
\(=\dfrac{112}{9}-\dfrac{28}{3}+\dfrac{2}{11}\)
\(=\dfrac{112}{9}-\dfrac{84}{9}+\dfrac{2}{11}\)
\(=\dfrac{28}{9}+\dfrac{2}{11}\)
\(=\dfrac{326}{99}\)
Thực hiện phép tính:
a) \({x^5}:{x^3}\); b) \((4{x^3}):{x^2}\); c) \((a{x^m}):(b{x^n})\)(a ≠ 0; b ≠ 0; m, n \(\in\) N, m ≥ n).
a) \({x^5}:{x^3} = {x^{5 - 3}} = {x^2}\);
b) \((4{x^3}):{x^2} = (4:1).({x^3}:{x^2}) = 4x\);
c) \((a{x^m}):(b{x^n}) = (a:b).({x^m}:{x^n}) = (a:b).{x^{m - n}}\)(a ≠ 0; b ≠ 0; m, n \(\in\) N, m ≥ n).
Tính:
a) \(C_7^2\)
b) \(C_9^0 + C_9^9\)
c) \(C_{15}^3 - C_{14}^3\)
a) \(C_7^2 = \frac{{7!}}{{2!.5!}} = \frac{{7.6}}{2} = 21\)
b) \(C_9^0 + C_9^9 = \frac{{9!}}{{0!.9!}} + \frac{{9!}}{{9!.0!}} = 2\)
c) \(C_{15}^3 - C_{14}^3 = \frac{{15!}}{{3!.12!}} - \frac{{14!}}{{3!.11!}} = \frac{{15.14.13}}{{3.2.1}} - \frac{{14.13.12}}{{3.2.1}} = 91\)
Tính:
a) 4 + 5/7 = ...........................
5/9 x 6/7 = ........................
3 - 7/5 = ............................
3/5 x 4/8 = ........................
b) 2 - 1/4 = ...........................
4 : 5/9 = ...........................
2/9 x 3/5 = .......................
3/8 : 4 = ...........................
a) 4 + 5/7 = .... 28/7 + 5/7=.33/7..............
5/9 x 6/7 = ..10/21....
3 - 7/5 = 15/5 - 7/5...8/5........
3/5 x 4/8 = ..3/10....
b) 2 - 1/4 = .8/4 - 1/4...7/4...
4 : 5/9 = ..4 x 9/5 = 36/5....
2/9 x 3/5 = .....2/15.....
3/8 : 4 = ......3/8 x 1/4 = 3/2.....
a) \(4+\dfrac{5}{7}=\dfrac{4}{1}+\dfrac{5}{7}=\dfrac{28}{7}+\dfrac{5}{7}=\dfrac{33}{7}\)
\(\dfrac{5}{9}\times\dfrac{6}{7}=\dfrac{10}{21}\)
\(3-\dfrac{7}{5}=\dfrac{3}{1}-\dfrac{7}{5}=\dfrac{15}{5}-\dfrac{7}{5}=\dfrac{8}{5}\)
\(\dfrac{3}{5}\times\dfrac{4}{8}=\dfrac{12}{40}=\dfrac{3}{10}\)
b) \(2-\dfrac{1}{4}=\dfrac{2}{1}-\dfrac{1}{4}=\dfrac{8}{4}-\dfrac{1}{4}=\dfrac{7}{4}\)
\(4:\dfrac{5}{9}=\dfrac{4}{1}:\dfrac{5}{9}=\dfrac{4}{1}\times\dfrac{9}{5}=\dfrac{36}{5}\)
\(\dfrac{2}{9}\times\dfrac{3}{5}=\dfrac{6}{45}=\dfrac{2}{15}\)
\(\dfrac{3}{8}:4=\dfrac{3}{8}:\dfrac{4}{1}=\dfrac{3}{8}\times\dfrac{1}{4}=\dfrac{3}{2}\)
Tính:
a) \(\dfrac{2}{3}+\dfrac{4}{3}\) \(\dfrac{9}{8}-\dfrac{1}{8}\) \(\dfrac{1}{6}+\dfrac{2}{3}\) \(\dfrac{3}{4}-\dfrac{7}{16}\)
b) \(9+\dfrac{2}{7}\) \(\dfrac{3}{8}+10\) \(7-\dfrac{2}{11}\) \(\dfrac{25}{4}-5\)
c) \(\dfrac{2}{3}\times\dfrac{1}{4}\) \(\dfrac{7}{11}\times\dfrac{11}{2}\) \(\dfrac{3}{7}:\dfrac{4}{9}\) \(\dfrac{9}{8}:\dfrac{3}{4}\)
d) \(8\times\dfrac{3}{7}\) \(\dfrac{3}{10}\times6\) \(6:\dfrac{5}{24}\) \(\dfrac{18}{7}:3\)
1)Tính:a)-25/28x 0,21 b)(13/24-29/30): (-10,2)
2)Tìm giá trị tuyệt đối của các số sau: 0,-3/7, -4/-9, -7,2
Tính:
a)(3x+2)2-(4-2x).(5x+1)
b)(2x-3).(9+6x+4x2)-(2x+3)3
\(a,=9x^2+12x+4-18x-4+10x^2=19x^2-6x\\ b,=8x^3-27-8x^3-36x^2-54x-27=-36x^2-54x-54\)
Tính:
a) 0,(12)+0,(3)
b) 0,1(6)-\(\dfrac{5}{3}-\dfrac{-1}{2}\)
\(a,=\dfrac{4}{33}+\dfrac{1}{3}=\dfrac{5}{11}\\ b,=\dfrac{1}{6}-\dfrac{5}{3}+\dfrac{1}{2}=-1\)
