Bài 1: Tính hợp lí
(-12)+(-13)+33+(-11)
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BÀI 1
a, \(5\times\frac{-7}{10}=\frac{-35}{10}=\frac{-7}{2}\)
b, \(\frac{4}{5}\times\frac{-7}{10}=\frac{-28}{50}=\frac{-14}{25}\)
c, \(\frac{4}{9}+\frac{4}{3}\times\frac{16}{4}=\frac{4}{9}+\frac{16}{3}=\frac{52}{9}\)
d, \(\frac{11}{22}-\frac{3}{9}\times\frac{14}{21}=\frac{11}{22}-\frac{2}{9}=\frac{55}{198}=\frac{5}{18}\)
BÀI 2
\(A=\frac{6}{13}\times\frac{5}{7}+\frac{6}{13}\times\frac{2}{7}+\frac{17}{13}\)
\(A=\frac{30}{91}+\frac{12}{91}+\frac{17}{13}\)
\(A=\frac{30}{91}+\frac{12}{91}+\frac{119}{91}\)
\(A=\frac{161}{91}=\frac{23}{13}\)
\(B=\frac{11}{15}\times\frac{4}{11}+\frac{11}{15}\times\frac{5}{11}+\frac{11}{15}\times\frac{2}{11}\)
\(B=\frac{4}{15}+\frac{1}{3}+\frac{2}{15}\)
\(B=\frac{11}{15}\)
\(C=\left(\frac{19}{64}-\frac{33}{22}+\frac{24}{51}\right)\times\left(\frac{1}{5}-\frac{1}{15}-\frac{2}{15}\right)\)
\(C=\frac{-797}{1088}\times0\)
\(C=0\)
\(D=\frac{8}{13}\times\frac{7}{12}+\frac{8}{13}\times\frac{5}{12}-\frac{1}{12}\)
\(D=\frac{14}{39}+\frac{10}{39}-\frac{1}{12}\)
\(D=\frac{83}{156}\)
bạn biết câu náy không (24 + 11) . {546 - [14 . (64 - 2^{3}3) : 2]} =
=(1/13+12/13)+(2/13+11/13)+(3/13+10/13)+......(6/13+7/13)
=1+1+1+1+1+1
=6
\(=\frac{1+2+3+...+12}{13}\)
\(=\frac{\left(12+1\right)+\left(11+2\right)+..+\left(5+7\right)+6}{13}\)
\(=\frac{12+12+12+12+12+6}{13}\)
\(=\frac{12.5+6}{13}\)
\(=\frac{66}{13}\)
A =\(\frac{7}{19}.\frac{8}{11}+\frac{7}{19}.\frac{3}{11}+\frac{12}{19}\)
A = \(\frac{7}{19}.\left(\frac{8}{11}+\frac{3}{11}\right)\)+ \(\frac{12}{19}\)
A = \(\frac{7}{19}.1+\frac{12}{19}\)
A = \(\frac{7}{19}+\frac{12}{19}\)
A = 1
--------
B = \(\frac{5}{9}.\frac{7}{13}+\frac{5}{9}.\frac{9}{13}-\frac{5}{9}.\frac{3}{13}\)
B = \(\frac{5}{9}.\left(\frac{7}{13}+\frac{9}{13}-\frac{3}{13}\right)\)
B = \(\frac{5}{9}.1\)
B = \(\frac{5}{9}\)
-------
C = \(\left(\frac{67}{111}+\frac{2}{33}-\frac{15}{117}\right).\left(\frac{1}{3}-\frac{1}{4}-\frac{1}{12}\right)\)
C = \(\left(\frac{67}{111}+\frac{2}{33}-\frac{15}{117}\right).\left(\frac{4}{12}-\frac{3}{12}-\frac{1}{12}\right)\)
C = \(\left(\frac{67}{111}+\frac{2}{33}-\frac{15}{117}\right).0\)
C = 0
Chúc bạn học tốt
Gợi ý: Sử dụng tính chất phân phối của phép nhân đối với phép cộng để nhóm thừa số chung ra ngoài.
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
(-12)+(-13)+36+(-11)
= -12 - 13 + 36 - 11
= - (11+12+13) + 36
= - 36 + 36
= 0
a) A = ( 11 + 19 ) + ( 12 + 18 ) + ( 13 + 17 ) + (14 + 16) + 15 + 20
= 30 + 30 + 30 + 30 + 15 + 20
= 155
b)B=11+13+15+17+...+25
B=(11+25)+(13+23)+(15+21)+(17+19)
B=36+36+36+36
B=36.4
B=144
c)C=12+14+16+18+...+26
C=(12+26)+(14+24)+(16+22)+(18+20)
C=38+38+38+38
C=38.4
C=152
a) \(13+22+\left(-20\right)+\left(-153\right)+8=13+22-20-153+8\)
\(=\left(13-153\right)+\left(22+8\right)-20=-140+30-20=-130\)
b) \(371+731+\left(-271\right)+\left(-281\right)=371+731-271-281\)
\(=\left(371-271\right)+\left(731-281\right)=100+450=550\)
c) \(9+\left(-10\right)+11+\left(-12\right)+13+\left(-14\right)+15+\left(-16\right)\)
\(=9-10+11-12+13-14+15-16\)
\(=\left(9-10\right)+\left(11-12\right)+\left(13-14\right)+\left(15-16\right)\)
\(=\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)=-4\)
(-12)+(-13)+33+(-11)=-25+22=-3
Giair từng bước nha bạn .