1) Tính nhanh
\(\left(36\times28+45\times36\right):73\)
tính nhanh:
\(\frac{37}{45}-\left(\frac{7}{45}-\frac{36}{108}-\frac{5}{13}\right)\)
\(\frac{37}{45}-\left(\frac{7}{45}-\frac{36}{108}-\frac{5}{13}\right)=\frac{37}{45}-\frac{7}{45}+\frac{36}{108}+\frac{5}{13}.\)
\(=\left(\frac{37}{45}-\frac{7}{45}\right)+\left(\frac{36}{108}+\frac{5}{13}\right)\)
\(=\frac{2}{3}+\frac{28}{39}\)
\(=\frac{18}{13}\)
\((\frac{37}{45}-\frac{7}{45})+(\frac{36}{108}-\frac{5}{13})\)
=\(\frac{2}{3}+-\frac{2}{39}\)=\(\frac{8}{13}\)
\(\frac{37}{45}-\left(\frac{7}{45}-\frac{36}{108}-\frac{5}{13}\right)\)
\(=\frac{37}{45}-\frac{7}{45}+\frac{1}{3}+\frac{5}{13}\)
\(=\left(\frac{37}{45}-\frac{7}{45}+\frac{1}{3}\right)+\frac{5}{13}\)
\(=\left(\frac{2}{3}+\frac{1}{3}\right)+\frac{5}{13}\)
\(=1+\frac{5}{13}\)
\(=\frac{18}{13}\)
\(=\frac{8}{13}\)
Tính nhanh
a) ( 36 x 28 + 36 x 45 ) : 73
b) ( 98 x 17 - 26 x 17 ) : 72
a) ( 36 x 28 + 36 x 45 ) : 73
= 36 x (28 + 45 ):73
=36 x 73 :73
= 36 x (73 : 73)
= 36 x 1
= 36
b) ( 98 x 17 - 26 x 17 ) : 72
= 17 x (98-17):72
= 17 x 72 :72
=17 x (72 :72)
= 17 x 1
= 17
a) ( 36 x 28 + 36 x 45 ) : 73 = 36
b) ( 98 x 17 - 26 x 17 ) : 72 = 17
BT2: Tính nhanh:
5) \(\dfrac{15}{7}\left(\dfrac{1}{5}-\dfrac{46}{45}\right)+\dfrac{46}{45}\left(\dfrac{15}{7}-\dfrac{45}{46}\right)\)
6) \(\dfrac{43}{47}\left(\dfrac{18}{37}+\dfrac{47}{43}\right)-\dfrac{18}{37}\left(\dfrac{43}{47}+\dfrac{37}{36}\right)\)
1/Ta co :
\(\dfrac{15}{7}.\left(\dfrac{1}{5}-\dfrac{46}{45}\right)+\dfrac{46}{45}.\left(\dfrac{15}{7}-\dfrac{45}{46}\right)\)
=\(\dfrac{15}{7}.\dfrac{1}{5}-\dfrac{15}{7}.\dfrac{46}{45}+\dfrac{46}{45}.\dfrac{15}{7}-\dfrac{46}{45}.\dfrac{45}{46}\)
=\(\dfrac{15}{7}.\left(\dfrac{1}{5}-\dfrac{46}{45}+\dfrac{46}{45}\right)-1\)
=\(\dfrac{15}{7}.\dfrac{1}{5}-1\)
=\(\dfrac{3}{7}-1=\dfrac{-4}{7}\)
2/Ta co
\(\dfrac{43}{47}.\left(\dfrac{18}{37}+\dfrac{47}{43}\right)-\dfrac{18}{3}.\left(\dfrac{43}{47}+\dfrac{37}{36}\right)\)
=\(\dfrac{43}{47}.\dfrac{18}{37}+\dfrac{43}{47}.\dfrac{47}{43}-\dfrac{18}{37}.\dfrac{43}{47}+\dfrac{18}{37}.\dfrac{37}{36}\)
=\(\dfrac{18}{37}.\left(\dfrac{43}{37}-\dfrac{43}{37}+\dfrac{37}{36}\right)+1\)
=\(\dfrac{18}{37}.\dfrac{37}{36}+1\)
=\(\dfrac{1}{2}+1=\dfrac{3}{2}\)
tick cho mk nha
Tính:
a) \(73 - \left( {2 - 9} \right)\);
b) \(\left( { - 45} \right) - \left( {27 - 8} \right)\)
a) Cách 1: \(73 - \left( {2 - 9} \right) = 73 - 2 + 9 = 80\);
Cách 2: \(73 - \left( {2 - 9} \right) = 73 -(-7)=73+7 = 80\)
b) Cách 1: \(\left( { - 45} \right) - \left( {27 - 8} \right) = \left( { - 45} \right) - 27+8 =-72+8=- 64\)
Cách 2: \(\left( { - 45} \right) - \left( {27 - 8} \right) = \left( { - 45} \right) - 19 = - 64\)
\(\left(313^5\times299-313^6\times36\right)⋮7\)
\(\left(313^5.299-313^6.39\right)⋮7\)
\(=\left(313^5.299-313^5.3.39\right)\)
\(=\left(313^5.299-313^5.117\right)\)
\(=313^5\left(299-117\right)\)
\(=313^5.182⋮7\)
Tính nhanh:
D=\(\left(1-\frac{28}{10}\right)\left(1-\frac{52}{22}\right)\left(1-\frac{80}{36}\right).....\left(1-\frac{21808}{10900}\right)\)
D=18/10.30/22...........10908/10900
D=18.30........10908 / 10.22.10900
D=(2.9)(3.10).....(101.108) / (1.10)(2.11).....(100.109)
D=(2.3.......101)(9.10......108) / (1.2....100) (10.11....109)
D=101.9/109=909/109
Tính nhanh:
G=\(\left(1+\frac{8}{10}\right)\left(1+\frac{8}{22}\right)\left(1+\frac{8}{36}\right).....\left(1+\frac{8}{8352}\right)\)
G=(1+8/10)(1+8/22)(1+8/36)...(1+8/8352)
18.30.44...8360
G=----------------------------
10.22.36...8352
9.2.10.3.11.4...95.88
G=-----------------------------------
10.1.11.2.12.3...96.87
(9.10.11...95)(2.3.4....88)
G= -----------------------------------------
(10.11.12...96)(2.3.4...87)
9.88.
G= ---------= 33/4.
96
Mình cũng k biết làm bài này, cảm ơn bạn
TÍNH GIÁ TRỊ BIỂU THỨC
\(\left(1-\frac{1}{28}\right).\left(1-\frac{1}{36}\right).\left(1-\frac{1}{45}\right)......\left(1-\frac{1}{153}\right)\)
Giúp mình nhé. OLM DUYỆT ĐI
=1*(1/28-1/36-1/45-1/153)
=1*125/4284
=125/4284
Thực hiện các phép tính (tính nhanh nhất nếu có thể):
\(A,\)\(2^2.5-\left(1^{10}+8\right):3^2\)
\(B, 5^8:5^6+4.(3^2-1)\)
\(C,\)\(400-\left\{36-20:\left[3^3-\left(8-3\right)\right]\right\}\)
a: \(2^2\cdot5-\dfrac{\left(1^{10}+8\right)}{3^2}\)
\(=4\cdot5-\dfrac{1+8}{3}\)
=20-3
=17
b: \(5^8:5^6+4\left(3^2-1\right)\)
\(=5^2+4\left(9-1\right)\)
=25+4*8
=25+32
=57
c: \(400-\left\{36-20:\left[3^3-\left(8-3\right)\right]\right\}\)
\(=400-36+20:\left[27-5\right]\)
\(=364+\dfrac{20}{22}\)
\(=364+\dfrac{10}{11}=\dfrac{4014}{11}\)
A) 2².5 - (1¹⁰ + 8) : 3²
= 4.5 - (1 + 8) : 9
= 20 - 9 : 9
= 20 - 1
= 19
B) 5⁸ : 5⁶ + 4.(3² - 1)
= 5² + 4.(9 - 1)
= 25 + 4.8
= 25 + 32
= 57
C) 400 - {36 - 20 : [3³ - (8 - 3)]}
= 400 - [36 - 20 : (27 - 5)]
= 400 -(36 - 20 : 22)
= 400 - (36 - 10/11)
= 400 - 386/11
= 4014/11