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a)P=\(\dfrac{-2}{7}+\dfrac{14}{29}+\dfrac{12}{33}+\dfrac{15}{29}+\dfrac{21}{33}+\dfrac{2}{7}\)
=\(\left(\dfrac{-2}{7}+\dfrac{2}{7}\right)+\left(\dfrac{14}{29}+\dfrac{15}{29}\right)+\left(\dfrac{12}{33}+\dfrac{21}{33}\right)\)
=0+1+1=2
b)\(\dfrac{2}{7}.\dfrac{5}{19}+\dfrac{2}{7}.\dfrac{14}{19}+\dfrac{21}{19}-\dfrac{2}{7}.\dfrac{1}{5}\)
=\(\dfrac{2}{7}.\left(\dfrac{5}{19}+\dfrac{14}{19}-\dfrac{1}{5}\right)+\dfrac{21}{19}\)
=\(\dfrac{2}{7}.\dfrac{4}{5}+\dfrac{21}{19}=\dfrac{887}{665}\)
a: \(\dfrac{-8}{3}\cdot\dfrac{15}{24}=\dfrac{-8}{24}\cdot\dfrac{15}{3}=\dfrac{-1}{3}\cdot5=-\dfrac{5}{3}\)
b: \(=\dfrac{3}{4}\cdot\dfrac{1}{-9}=\dfrac{-1}{12}\)
c: \(x=-\dfrac{7}{6}+\dfrac{5}{8}=-\dfrac{13}{24}\)
d: \(x=-\dfrac{14}{25}-\dfrac{3}{4}=\dfrac{-56-75}{100}=\dfrac{-131}{100}\)
Câu 5:
a: \(31\cdot\left(-18\right)+31\cdot\left(-81\right)-31\)
\(=31\left(-18-81-1\right)\)
\(=31\cdot\left(-100\right)=-3100\)
b: \(\left(-12\right)\cdot47+\left(-12\right)\cdot52+\left(-12\right)\)
\(=\left(-12\right)\left(47+52+1\right)\)
\(=-12\cdot100=-1200\)
c: \(13\cdot\left(23+22\right)-3\cdot\left(17+28\right)\)
\(=13\cdot45-3\cdot45\)
\(=45\cdot10=450\)
d: \(-48+48\left(-78\right)+48\left(-21\right)\)
\(=48\left(-1-78-21\right)\)
\(=48\left(-100\right)=-4800\)
Câu 4:
a: \(\left(-6-2\right)\left(-6+2\right)=\left(-8\right)\cdot\left(-4\right)=32\)
b: \(\dfrac{\left(7\cdot3-3\right)}{-6}=\dfrac{21-3}{-6}=\dfrac{18}{-6}=-3\)
c: \(\left(-5+9\right)\cdot\left(-4\right)=4\cdot\left(-4\right)=-16\)
d: \(\dfrac{72}{-6\cdot2+4}=\dfrac{72}{-12+4}=\dfrac{72}{-8}=-9\)
a)\(\frac{6}{14}-\left(\frac{-18}{36}\right)-\frac{5}{15}=\frac{3}{7}+\frac{1}{2}-\frac{1}{3}=\frac{25}{42}\)
b) \(\frac{-36}{45}-\frac{25}{10}-\frac{22}{33}=\frac{-4}{5}-\frac{5}{2}-\frac{2}{3}=\frac{-119}{30}\)
c) \(\frac{-10}{3}+\frac{13}{10}-\frac{1}{6}+\frac{7}{70}=\frac{-10}{3}+\frac{13}{10}-\frac{1}{6}+\frac{1}{7}=\frac{-72}{35}\)
CHÚC BN HỌC TỐT!!
15) $|-18| + (-12)=18-12=6$
16) $17+ |-33|=17+33=50$
17) $(– 20) + |-88|=-20+88=68$
18) $|-3| + |5|=3+5=8$
19) $|-37| + |15|=37+15=52$
20) $|-37| + (-|15|)=37-15=22$
21) $(-|-32|) + |5| 22)(-|-22|)+ (-|16|)=-32+5.22-22=-32+4.22=-32+88=56$
23) $(-23) + 13 + ( - 17) + 57=-23+13-17=-40+13=-23$
24) $14 + 6 + (-9) + (-14)=14+6-9-14=6-9=-3$
25) $(-123) +|-13|+ (-7)=-123+13-7=-110-7=-117$
26) $|0|+|45|+(-|-455)|+|-796|=0+45-455+796=-410+796=386$
a)
-37 +14 +26+37=(-37+37)+(14+26)=30
b) =(-24+24)+(6+10)=16
c)=(-23+23)+(25+15)=40
d)=(-33+33)+(-50+60)=10
e)=(-209+209)+[-14+(-16)]=-30
5/33:7/15+5/33+14/3
= 5/33.15/7+5/33+14/3
=5/33.(15/7+1)+14/3
=5/33.22/7+14/3
=10/21+14/3
=36/7