tính hợp lí
( 2^5 . 7^2 + 2^5 ) : ( 2^5 . 5^2 - 2^5 . 20 )
tính hợp lí
-20/23+ 2/3-3/23+2/5+7/15
7/4.29/5-7/5.9/4+41/13
(3,07 +7,005) - ( 23,005 -5,23)
a: =(-20/23-3/23)+(2/3+2/5+7/15)
=-1+10/15+6/15+7/15
=23/15-1=8/15
b: \(=\dfrac{7}{5}\cdot\dfrac{29}{4}-\dfrac{7}{5}\cdot\dfrac{9}{4}+\dfrac{41}{13}=\dfrac{7}{5}\cdot5+\dfrac{41}{13}=7+\dfrac{41}{13}=\dfrac{132}{13}\)
c: =3,07+7,005-23,005+5,23
=8,3-16
=-7,7
tính hợp lí
-11/7 + 13/-2 + -6/17
13/-8 + -7/20 +3/-8
-4/7 + 11/5 + 1/5 + -7/3
\(#N\)
\(-\dfrac{11}{7}+\dfrac{13}{-2}+-\dfrac{6}{17}=-\dfrac{113}{14}+-\dfrac{6}{17}=-\dfrac{2005}{238}\)
\(\dfrac{13}{-8}+-\dfrac{7}{20}+\dfrac{3}{-8}=\left(-\dfrac{13}{8}+-\dfrac{3}{8}\right)+-\dfrac{7}{20}=-2+-\dfrac{7}{20}=-\dfrac{47}{20}\)
\(-\dfrac{4}{7}+\dfrac{11}{5}+\dfrac{1}{5}+-\dfrac{7}{3}=-\dfrac{4}{7}+\left(\dfrac{11}{5}+\dfrac{1}{5}\right)+-\dfrac{7}{3}=-\dfrac{4}{7}+\dfrac{12}{5}+-\dfrac{7}{3}=-\dfrac{53}{105}\)
Tính hợp lí -2/5 × 4/7 + -3/5 × 2/7 + -3/5
\(-\dfrac{2}{5}.\dfrac{4}{7}+\dfrac{-3}{5}.\dfrac{2}{7}+\dfrac{-3}{5}\)
= \(\dfrac{-8}{35}+\dfrac{-6}{35}+\dfrac{-3}{5}\)
=\(\dfrac{-8-6-21}{35}\)
=\(\dfrac{-35}{35}\)
=-1
`(-2)/5.4/7+(-3)/5.2/7+(-3)/5`
`=(-8)/3 +(-6)/35+(-3)/5`
`=(-8)-6-21/35`
`=(-35)/35`
`=(-1)`
`@Nae`
(-2)/5 x 4/7 + (-3)/5 x 2/7 + (-3)/5
`=(-8)/3 +(-6)/35+(-3)/5`
`=(-8)-6-21/35`
`=(-35)/35`
`=(-1)`
`@Nae`
2/5*7 + 5/7*12 + 8/ 12* 20+ 3/140
tính hợp lí
\(\frac{2}{5.7}+\frac{5}{7.12}+\frac{8}{12.20}+\frac{3}{140}\)
\(=\frac{1}{5}-\frac{1}{7}+\frac{1}{7}-\frac{1}{12}+\frac{1}{12}-\frac{1}{20}+\frac{3}{140}\)
\(=\frac{1}{5}-\frac{1}{20}+\frac{3}{140}\)
\(=\frac{3}{20}+\frac{3}{140}\)
\(=\frac{6}{35}\)
Tính giá trị các biểu thức sau (hợp lí nếu có thể):
a) \(\dfrac{8^5.\left(-5\right)^8+\left(-2\right)^5,10^9}{2^{16}.5^7+20^8}\)
b) \(\dfrac{\left(-0,25\right)^{-5}.9^4.\left(-2\right)^{-3}-2^{-2}.6^9}{2^9.3^6+6^6.40}\)
(1/2-2/3)-(5/3-3/2)+(7/3-5/2),tính hợp lí
(1/2-2/3)-(5/3-3/2)+(7/3-5/2)
=1/2-2/3-5/3+3/2+7/3-5/2
=(1/2+3/2-5/2)-(2/3+5/3-7/3)
=-1/2-0=-1/2
Tính hợp lí nếu có thể
5.(-8).2.(-3) (2020-7+3)-(7+3-2020)
4.(-5)2+2.(-5)-20.
Giúp mk cái huhu
5.(-8).2.(-3) = ( 5 . 2 ) . [ -8 . ( -3) ] = 10 . 24 = 240
5 . ( - 8 ) . 2 . ( - 3 )
= ( 5 . 2 ) . [ - 8 . ( - 3 ) ]
= 10 . 24
= 240
( 2020 - 7 + 3 ) - ( 7 + 3 - 2020 )
= 2020 - 7 + 3 - 7 - 3 + 2020
= ( 2020 + 2020 ) + ( 3 - 3 ) - ( 7 + 7 )
= 4040 + 0 - 14
= 4026
4.( - 5 )2 + 2. ( - 5 ) - 20
= 4. ( - 5 ) . ( - 5 ) + 2 . ( - 5 ) - 20
= ( - 5 ) . [ 4 . ( - 5 ) + 2 ] - 20
= ( - 5 ) . ( - 18 ) - 20
= 90 - 20 = 70
5(-8).2.(-3)=(5.2).[(-8).(-3)]=10.24=240
(2020-7+3)-(7+3-2020)=2020-7+3 - 7-3+2020=(2020+2020)+(3-3)-(7+7)=4040+0-16=4026
4(-5)2+2(-5)-20=4.(-5).(-5)+2(-5)-20=(-5).[4.(-5)+2]-20=(-5).(-18)-20=90-20=70
Bài 1 Tính giá trị của biểu thức
A=-7/21 + [1 + 1/3]
B=2/15 + [5/9 + -6/9]
C=[-1/5 + 3/12] + -3/4
Bài 2 Tính một cách hợp lí
4/20 + 6/12 + 6/15 + -3/5 + 2/21 + -10/21 + 3/20
42/46 + 250/186 + -2121/2323 + -125125/143143
Bài 3 Tính
7/3 - 1/2 - -3/70
5/12 - 3/-16 + 3/4
Bài 4 Tìm x,biết
3/4 - x=1
x + 4=1/5
x - 1/5 =2
x + 5/3=1/81
Bài 1:
\(A=\dfrac{-1}{3}+1+\dfrac{1}{3}=1\)
\(B=\dfrac{2}{15}+\dfrac{5}{9}-\dfrac{6}{9}=\dfrac{2}{15}-\dfrac{1}{9}=\dfrac{18-15}{135}=\dfrac{3}{135}=\dfrac{1}{45}\)
\(C=\dfrac{-1}{5}+\dfrac{1}{4}-\dfrac{3}{4}=\dfrac{-1}{5}-\dfrac{1}{2}=\dfrac{-7}{10}\)
Bài 2:
a: \(=\dfrac{1}{5}+\dfrac{1}{2}+\dfrac{2}{5}-\dfrac{3}{5}+\dfrac{2}{21}-\dfrac{10}{21}+\dfrac{3}{20}\)
\(=\left(\dfrac{1}{5}+\dfrac{2}{5}-\dfrac{3}{5}\right)+\left(\dfrac{2}{21}-\dfrac{10}{21}\right)+\left(\dfrac{1}{2}+\dfrac{3}{20}\right)\)
\(=\dfrac{-8}{21}+\dfrac{13}{20}=\dfrac{113}{420}\)
b: \(B=\dfrac{21}{23}-\dfrac{21}{23}+\dfrac{125}{93}-\dfrac{125}{143}=\dfrac{6250}{13299}\)
Bài 3:
\(\dfrac{7}{3}-\dfrac{1}{2}-\left(-\dfrac{3}{70}\right)=\dfrac{7}{3}-\dfrac{1}{2}+\dfrac{3}{70}=\dfrac{490}{210}-\dfrac{105}{210}+\dfrac{9}{210}=\dfrac{394}{210}=\dfrac{197}{105}\)
\(\dfrac{5}{12}-\dfrac{3}{-16}+\dfrac{3}{4}=\dfrac{5}{12}+\dfrac{3}{16}+\dfrac{3}{4}=\dfrac{20}{48}+\dfrac{9}{48}+\dfrac{36}{48}=\dfrac{65}{48}\)
Bài 4:
\(\dfrac{3}{4}-x=1\)
\(\Rightarrow-x=1-\dfrac{3}{4}\)
\(\Rightarrow x=-\dfrac{1}{4}\)
Vậy: \(x=-\dfrac{1}{4}\)
\(x+4=\dfrac{1}{5}\)
\(\Rightarrow x=\dfrac{1}{5}-4\)
\(\Rightarrow x=-\dfrac{19}{5}\)
Vậy: \(x=-\dfrac{19}{5}\)
\(x-\dfrac{1}{5}=2\)
\(\Rightarrow x=2+\dfrac{1}{5}\)
\(\Rightarrow x=\dfrac{11}{5}\)
Vậy: \(x=\dfrac{11}{5}\)
\(x+\dfrac{5}{3}=\dfrac{1}{81}\)
\(\Rightarrow x=\dfrac{1}{81}-\dfrac{5}{3}\)
\(\Rightarrow x=-\dfrac{134}{81}\)
Vậy: \(x=-\dfrac{134}{81}\)
Tính hợp lí:
a) 7/3 + 2/5 . 5/6
b) 2/3 - 7/3 : 2 4/5
( 2 4/5 là hỗn số)
a) 7/3 + 2/5 . 5/6 = 7/3 + 1/3 = 8/3
b) 2/3 - 7/3 : 2 4/5 = 2/3 - 7/3 : 14/5 = 2/3 - 7/3 . 5/14 = 2/3 - 5/6 = 4/6 - 5/6 = -1/6