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a)
\(118\times45+55\times148-18\times100\)
\(=118\times\left(45+55\right)-18\times100\)
\(=118\times100-18\times100\)
\(=100\times\left(118-18\right)\)
\(=100\times100\)
\(=10000\)
b)
\(127\times45+55\times127-27\times100\)
\(=127\times\left(45+55\right)-27\times100\)
\(=127\times100-27\times100\)
\(=100\times\left(127-27\right)\)
\(=100\times100\)
\(=10000\)
c)
\(86\times63+27\times86+86\times10\)
\(=86\times\left(63+27+10\right)\)
\(=86\times100\)
\(=8600\)
d)
\(57\times37+57\times23+57\times40\)
\(=57\times\left(37+23+40\right)\)
\(=57\times100\)
\(=5700\)
h)
\(\left(3737\times43-4343\times37\right)\div\left(92+4+6+...+100\right)\)
\(=\left(37\times101\times43-43\times101\times37\right)\div\left(2+4+6+...+100\right)\)
\(=0\div\left(2+4+6+...+100\right)\)
\(=0\)
e)
\(543+165+437+35\)
\(=\left(543+437\right)+\left(165+35\right)\)
\(=980+200\)
\(=1180\)
g)
\(13\times58\times4+32\times26\times2+52\times10\)
\(=52\times58+32\times52+52\times10\)
\(=52\times\left(58+32+10\right)\)
\(=52\times100\)
\(=5200\)
i)
Số số hạng là \(\left(37-1\right)\div4+1=10\)
Tổng là \(\left(37+1\right)\times10\div2=190\)
`5`
`a, -7/21 +(1+1/3)`
`=-7/21 + ( 3/3 + 1/3)`
`=-7/21+ 4/3`
`=-7/21+ 28/21`
`= 21/21`
`=1`
`b, 2/15 + ( 5/9 + (-6)/9)`
`= 2/15 + (-1/9)`
`= 1/45`
`c, (9-1/5+3/12) +(-3/4)`
`= ( 45/5-1/5 + 3/12)+(-3/4)`
`= ( 44/5 + 3/12)+(-3/4)`
`= 9,05 +(-0,75)`
`=8,3`
`6`
`x+7/8 =13/12`
`=>x= 13/12 -7/8`
`=>x=5/24`
`-------`
`-(-6)/12 -x=9/48`
`=> 6/12 -x=9/48`
`=>x= 6/12-9/48`
`=>x=5/16`
`---------`
`x+4/6 =5/25 -(-7)/15`
`=>x+4/6 =1/5 + 7/15`
`=> x+ 4/6=10/15`
`=>x=10/15 -4/6`
`=>x=0`
`----------`
`x+4/5 = 6/20 -(-7)/3`
`=>x+4/5 = 6/20 +7/3`
`=>x+4/5 = 79/30`
`=>x=79/30 -4/5`
`=>x= 79/30-24/30`
`=>x= 55/30`
`=>x= 11/6`
\(5)\)
\(A=\dfrac{-7}{21}+\left(1+\dfrac{1}{3}\right)\)
\(A=\dfrac{-7}{21}+\dfrac{4}{3}\)
\(A=\dfrac{-7}{21}+\dfrac{28}{21}\)
\(A=1\)
\(--------------\)
\(B=\dfrac{2}{15}+\left(\dfrac{5}{9}+\dfrac{-6}{9}\right)\)
\(B=\dfrac{2}{15}+\dfrac{-1}{9}\)
\(B=\dfrac{18}{135}+\dfrac{-15}{135}\)
\(B=\dfrac{1}{45}\)
\(------------\)
\(C=9-\dfrac{1}{5}+\dfrac{3}{12}+\dfrac{-3}{4}\)
\(C=\dfrac{44}{5}+\dfrac{3}{12}+\dfrac{-3}{4}\)
\(C=\dfrac{528}{60}+\dfrac{15}{60}+\dfrac{-3}{4}\)
\(C=\dfrac{181}{20}+\dfrac{-3}{4}\)
\(C=\dfrac{181}{20}+\dfrac{-15}{20}\)
\(C=\dfrac{83}{10}\)
\(6)\)
\(a)\) \(x+\dfrac{7}{8}=\dfrac{13}{12}\)
\(x=\dfrac{13}{12}-\dfrac{7}{8}\)
\(x=\dfrac{104}{96}-\dfrac{84}{96}\)
\(x=\dfrac{5}{24}\)
\(b)\) \(\dfrac{-6}{12}-x=\dfrac{9}{48}\)
\(\dfrac{-1}{2}-x=\dfrac{3}{16}\)
\(x=\dfrac{-1}{2}-\dfrac{3}{16}\)
\(x=\dfrac{-8}{16}-\dfrac{3}{16}\)
\(x=\dfrac{-11}{16}\)
\(c)\) \(x+\dfrac{4}{6}=\dfrac{5}{25}-\left(-\dfrac{7}{15}\right)\)
\(x+\dfrac{4}{6}=\dfrac{5}{25}+\dfrac{7}{15}\)
\(x+\dfrac{4}{6}=\dfrac{75}{375}+\dfrac{105}{375}\)
\(x+\dfrac{4}{6}=\dfrac{12}{25}\)
\(x=\dfrac{12}{25}-\dfrac{4}{6}\)
\(x=\dfrac{72}{150}-\dfrac{100}{150}\)
\(x=\dfrac{-14}{75}\)
\(d)\) \(x+\dfrac{4}{5}=\dfrac{6}{20}-\left(-\dfrac{7}{3}\right)\)
\(x+\dfrac{4}{5}=\dfrac{6}{20}+\dfrac{7}{3}\)
\(x+\dfrac{4}{5}=\dfrac{18}{60}+\dfrac{140}{60}\)
\(x+\dfrac{4}{5}=\dfrac{79}{30}\)
\(x=\dfrac{79}{30}-\dfrac{4}{5}\)
\(x=\dfrac{79}{30}-\dfrac{24}{30}\)
\(x=\dfrac{11}{6}\)
A = ( 200 + 1 ) x 200 : 2 = 20100
B = ( 200 + 2 ) x 100 : 2 = 10100
C = ( 201 + 1 ) x 101 : 2 = 10201
D = ( 201 + 3 ) x 67 : 2 = 6834
a)\(-\dfrac{2}{5}.\dfrac{4}{7}+\dfrac{-3}{5}.\dfrac{2}{7}+\dfrac{-3}{5}\)
=\(-\dfrac{2}{5}.\dfrac{4}{7}+\dfrac{3}{7}.\dfrac{-2}{5}+\dfrac{-3}{5}\)
=\(-\dfrac{2}{5}.\left(\dfrac{4}{7}+\dfrac{3}{7}\right)+\dfrac{-3}{5}\)
=\(\dfrac{-2}{5}.1+\dfrac{-3}{5}\)
=\(-\dfrac{2}{5}+\dfrac{-3}{5}\)
=\(-\dfrac{5}{5}\) = -1
\(\dfrac{5}{9}.\dfrac{14}{17}+\dfrac{1}{17}.\dfrac{5}{9}+\dfrac{2}{9}+\dfrac{5}{12}\)
=\(\dfrac{5}{9}.\left(\dfrac{14}{17}+\dfrac{1}{17}\right)+\dfrac{2}{9}+\dfrac{5}{12}\)
=\(\dfrac{5}{9}.\dfrac{15}{17}+\dfrac{2}{9}+\dfrac{5}{12}\)
=\(\dfrac{25}{51}+\dfrac{2}{9}+\dfrac{5}{12}\)
=\(\dfrac{691}{612}\)
a) 2/9 - (1/20 + 2/9)
= 2/9 - 1/20 - 2/9
= (2/9 - 2/9) - 1/20
= 0 - 1/20
= -1/20
b) -3/14 + 2/13 + (-25/14) + (-15/13)
= (-3/14 - 25/14) + (2/13 - 15/13)
= -2 - 1
= -3
c) -3/11 + 11/8 - 3/8 + (-8/11)
= (-3/11 - 8/11) + (11/8 - 3/8)
= -1 + 1
= 0
d) 3/8 + (-1/4) - (7/12 - 1/6)
= 1/8 - 5/12
= -7/24
e) (1/3 + 12/67 + 13/41) - (79/67 - 28/41)
= 1/3 + 12/67 + 13/41 - 79/67 + 28/41
= 1/3 + (12/67 - 79/67) + (13/41 + 28/41)
= 1/3 - 1 + 1
= 1/3
a, 12^7 : 6^7 = (12 : 6)^7 = 2^7 = 128.
b,27^5 : 81^3 = (3^3)^5 : (3^4)^3 = 3^15 : 3^12 = 3^15 - 12 = 33 = 27
c,18^3 : 9^3 = (18 : 9)^3 = 2^3 = 8.
d, 125^3 : 2^4 = (5^3)^3 : (52)4 = 5^9 : 5^8 = 5^9 - 8 = 5.
a,vì có cùng số mũ =>12:6=2
b,ta có 125=(5^3)^5,25^3=(5^2)^3=>5^15:5^6=5^9
c,ta có 27^5=(3^3)^5,81^3=(3^4)^3=>3^15:3^12=3^3
d, vì có cùng số mũ =>18:9=2
a) 1 - 3 + 5 - 7 + 9 - 11
= (1 - 3) + (5 - 7) + (9 - 11)
= (-2) + (-2) + (-2)
= -6
b) -14 - 16 - 18 - ... - 92
= - (14 + 16 + 18 + .... + 92)
Áp dụng công thức tính dãy số ta có :
14 + 16 + 18 + .... + 92 = 2120
= -2120
c) 15 + 18 + 21 + .... + 63 + 66 + 70
= (15 + 18 + 21 + ..... + 66) + 70
Áp dụng công thức tính dãy số ta có :
15 + 18 + ..... + 66 = 729
= 729 + 70
= 8799
d) 2 - 3 + 4 - 5 + 6 - 7 + 8 - 9 + 10
= (2 - 3) + (4 - 5) + (6 - 7) + (8 - 9) + 10
= (-1) + (-1) + (-1) + (-1) + 10
= 6
trả lời nhanh giúp mình ạ
a) 58. 59 + 59. 43 - 59
= 59. ( 58 + 43 - 1 )
= 59. 100
= 5900
b) 33. 22 - 33. 19
= 33. ( 22 - 19 )
= 27. 3
= 81
c) ( 96. 57 + 43. 96 ) : 96
= 96. ( 57 + 43 ) : 96
= 96. 100 : 96
= 96 : 96 . 100
= 1. 100
= 100
d) 118. 45 + 55. 118 - 18. 100
= 118. ( 45 + 55 ) - 18. 100
= 118. 100 - 18. 100
= 100. ( 118 - 18 )
= 100. 100
= 10000