tính nhanh
2155-(174+2155)+(-68+174)
2.\(\dfrac{3}{7}\left(\dfrac{2}{9}-1\dfrac{3}{7}\right)-\dfrac{5}{3}:\dfrac{1}{9}\)
\(\left(1-\dfrac{1}{2}\right)\left(1-\dfrac{1}{3}\right)\left(1-\dfrac{1}{4}\right)\left(1-\dfrac{1}{5}\right)\)
\(\left(\dfrac{377}{-231}-\dfrac{123}{89}+\dfrac{34}{791}\right).\left(\dfrac{1}{6}-\dfrac{1}{8}-\dfrac{1}{24}\right)\)
chứng tỏ phân số sau tối giản vs mọi số tự nhiên n\(\dfrac{n+1}{2n+3}\)
Câu 1: Tìm x biết
a) \(-\dfrac{2}{3}\)\(\left(x-\dfrac{1}{4}\right)\) = \(\dfrac{1}{3}\left(2x-1\right)\) b) \(\dfrac{1}{5}.2^x+\dfrac{1}{3}.2^{x+1}=\dfrac{1}{5}.2^7+\dfrac{1}{3}.2^8\)
Câu 2: a) Cho A = \(\dfrac{1}{2}.\dfrac{3}{4}.\dfrac{5}{6}......\dfrac{9999}{10000}\)
So sánh A vs 0,01
b) Chứng tỏ rằng: \(\left[\left(1+2+3+....+n\right)-7\right]⋮̸10\)
BT2: Tính nhanh
9) (\(\left(5+\dfrac{1}{5}-\dfrac{2}{9}\right)-\left(2-\dfrac{1}{23}-2\dfrac{3}{35}+\dfrac{5}{6}\right)-\left(8+\dfrac{2}{7}-\dfrac{1}{18}\right)\)
10)\(\dfrac{1}{3}-\dfrac{3}{4}-\left(-\dfrac{3}{5}\right)+\dfrac{1}{64}-\dfrac{2}{9}-\dfrac{1}{36}+\dfrac{1}{15}\)
Câu 2: Tìm số nguyên x, biết rằng:
\(\dfrac{3}{7}.15\dfrac{1}{3}+\dfrac{3}{7}.5\dfrac{2}{5}\le x\le\left(3\dfrac{1}{3}:7-6\dfrac{1}{2}\right).\left(-2\dfrac{1}{3}\right)\)
a) Tìm a, b \(\in\) N thỏa mãn \(\left(100a+3b+1\right)\left(2^a+10a+b\right)=225\)
Cho \(A=\dfrac{1}{1+3}+\dfrac{1}{1+3+5}+\dfrac{1}{1+3+5+7}+...+\dfrac{1}{1+3+5+...+2017}\)
Chứng minh \(A< \dfrac{3}{4}\)
Làm giúp mình ngay bây giờ nhé .
bài 1 : Chứng minh :
a) \(\dfrac{1.3.5...39}{21.22.23...40}=\dfrac{1}{2^{20}}\)
b) \(\dfrac{1.3.5...\left(2n-1\right)}{\left(n+1\right)\left(n+2\right)...2n}=\dfrac{1}{2^n}\)
BT2: Tính nhanh
7) \(\left(-\dfrac{1}{2}\right)-\left(-\dfrac{3}{5}\right)+\left(-\dfrac{1}{9}\right)+\dfrac{1}{71}-\left(-\dfrac{2}{7}\right)+\dfrac{4}{35}-\dfrac{7}{18}\)
8)\(\left(3-\dfrac{1}{4}+\dfrac{2}{3}\right)-\left(5-\dfrac{1}{3}-\dfrac{6}{5}\right)-\left(6-\dfrac{7}{4}+\dfrac{3}{2}\right)\)
Làm đúng nhận tick!
1. Tính hợp lý giá trị các biểu thức sau:
A= \(49\dfrac{8}{23}\)\(-\left(5\dfrac{7}{32}+14\dfrac{8}{23}\right)\)
B= \(6\dfrac{3}{8}+5\dfrac{1}{2}\)
C= \(8\dfrac{2}{7}-\left(3\dfrac{4}{9}+4\dfrac{2}{7}\right)\)
2. Tìm x, biết
a) \(\left(\dfrac{3x}{7}+1\right):\left(-4\right)=\dfrac{-1}{28}\)
b) \(x:4\dfrac{1}{3}=-2,5\)
c) \(x:\dfrac{-3}{5}=\dfrac{-10}{21}\)
d) \(\dfrac{2}{3}.x-\dfrac{1}{2}=\dfrac{1}{10}\)
e) \(\dfrac{1}{2}.x+\dfrac{1}{2}=\dfrac{5}{2}\)
g) \(\dfrac{-2}{3}-\dfrac{1}{3}.\left(2.x-5\right)=\dfrac{3}{2}\)
h) \(\dfrac{2}{5}.x+\dfrac{1}{2}=\dfrac{-3}{4}\)
i) \(\left(2.x-2\dfrac{4}{5}\right):3\dfrac{1}{8}=1\dfrac{3}{5}\)
k) \(3,2x-\left(\dfrac{4}{5}+\dfrac{2}{3}\right):3\dfrac{2}{3}=\dfrac{7}{20}\)
j) \(\dfrac{2}{3}.x-\dfrac{3}{7}.\left(1-x\right)=\dfrac{20}{7}\)
Làm đúng nhận tick như đã nói! Hãy thể hiện trí thông minh và yêu thích bộ môn toán của mình
Tìm x, biết :
a) \(\left(\dfrac{31}{20}-\dfrac{26}{45}\right).\dfrac{-36}{35}< x< \left(\dfrac{51}{56}+\dfrac{8}{21}+\dfrac{1}{3}\right).\dfrac{8}{13}\)
b) \(\dfrac{-3}{5}.x=\dfrac{1}{4}+0,75\)
c) \(\left(\dfrac{1}{7}-\dfrac{1}{3}\right).x=\dfrac{28}{3}.\left(\dfrac{1}{4}-\dfrac{1}{7}\right)\)
d) \(\dfrac{5}{7}.x=\dfrac{9}{8}-0,125\)
e)\(\left(\dfrac{2}{11}+\dfrac{1}{3}\right).x=\left(\dfrac{1}{7}-\dfrac{1}{8}\right).56\)