a) (-124) + 24 = -100
b) 37. 78 + 37. 22
=  37 . ( 78 + 22 )
=  37 . 100
= 3700

\(a) (-124) + 24 = -100 b) 37. 78 + 37. 22 = 37 . ( 78 + 22 ) = 37 . 100 = 3700\)

a) (- 124) + 24                                          b) 37 . 78 + 37 . 22

= - ( 124 - 24)                                              =37 . ( 78 + 22)

= - 100                                                        =37 . 100 

                                                                    3700

B3:

a. =-1250000

b. =-20000

c. =0

d. =-24000

B4:

a. =-4100

b. =-2700

c. =400

d. =1007

19/57 . 2 4/7 - 19/57 . 1 5/7 - 19/57

= 19/57 x  ( 2 4/7 - 1 5/7 )

= 19/57 x 6/7

= 2/7

\(\dfrac{19}{57}.2\dfrac{4}{7}-\dfrac{19}{57}.1\dfrac{5}{7}-\dfrac{19}{57}\)

\(\text{=}\dfrac{19}{57}.\left(2\dfrac{4}{7}-1\dfrac{5}{7}-1\right)\)

\(\text{=}\dfrac{19}{57}.\left(\dfrac{-1}{7}\right)\)

\(\text{=}\dfrac{-1}{21}\)

e: =5/7(5/11+2/11-14/11)

=5/7(-7/11)=-5/11

f: =-5/4(2/11+9/11)+1+3/4

=-5/4+7/4

=2/4=1/2

g: =-5/7(3/13+10/13)+1+5/7

=-5/7+1+5/7

=1

h: =7/4(29/5-9/5)+41/13

=-7+41/13=-50/13

Lời giải:
a.

$\frac{6}{13}+\frac{-15}{39}=\frac{6}{13}+\frac{-5}{13}=\frac{6+(-5)}{13}=\frac{1}{13}$

b.

$\frac{-8}{18}+\frac{-15}{27}=\frac{-4}{9}+\frac{-5}{9}=\frac{-4-5}{9}=\frac{-9}{9}=-1$

\(a)\)

\(\left(-31\right)+\left(50-19\right)-\left(150-31\right)\)

\(=\left(-31\right)+50-19-150+31\)

\(=\left(-150\right)-19\)

\(=-169\)

\(b)\)

\(25.\left(45-17\right)-45.\left(25-17\right)\)

\(=25.45-25.17-45.25+45.17\)

\(=0\)

\(c)\)

\(\frac{-1}{12}+\frac{4}{3}=\frac{5}{4}\)

\(d)\)

\(3+\frac{-5}{20}+\frac{30}{75}+\frac{-7}{4}\)

\(=\left(\frac{3}{5}+\frac{30}{75}\right)-\left(\frac{5}{20}+\frac{7}{4}\right)\)

\(=1-2\)

\(=-1\)

a) (-31)+(50-19)-(150-31)

= (-31)+50+(-19)-150+(-31)
= (-31)+50-150+(-19)-(-31)
= (-31)+(-100)+12
= -119
b) 25(45-17)-45(25-17)
= 25.45-25.17-45.25-45.17
= 25(45-45)-25(17-17)
= 0
c) -1/12 + 4/3
= -1/12 + 16/12
= 15/12
= 5/4
d) 3/5+(-5)/20+30/75+(-7)/4
= 45/75+30/75+(-5)/20+(-35)/20
= 1+(-2)
= -1

\(=\dfrac{4}{19}\left(\dfrac{-5}{6}-\dfrac{7}{12}-\dfrac{10}{3}\right)\)

\(=\dfrac{4}{19}\cdot\left(\dfrac{-10-7-40}{12}\right)=\dfrac{4}{19}\cdot\dfrac{-57}{12}=-\dfrac{3}{3}=-1\)

=\(\dfrac{4}{19}.\left(-\dfrac{5}{6}+-\dfrac{7}{12}\right)-\dfrac{40}{57}\)

=\(-\dfrac{4}{19}-\dfrac{40}{57}\)

=\(-\dfrac{52}{57}\)

\(a,=73.\left(34+1+65\right)=73.100=7300\\ b,=-\left(45+35\right)=-80\\ c,=299-6\left(14:5-3\right)=299-6\left(-\dfrac{1}{5}\right)=299+\dfrac{6}{5}=\dfrac{1501}{5}\)

1.
a) 73.34+73+73.65
= 73.34+73.1+73.65 (bạn có thể thêm bước này nếu bạn muốn)
= 73.(34+1+65)
= 73.100
= 7300
b) (-45)+(-35)
= -80 (vì trừ cộng trừ ra trừ)
c) 299-6[(12+2):5-3]
= 299-6(14:2)
= 299-6.7
= 299-42
= 257

\(=\left(\dfrac{1}{2}+\dfrac{1}{2}\right)-\left(\dfrac{5}{41}+\dfrac{36}{41}\right)=1-1=0\)

1/2-5/41+1/2-39/41

=(1/2+1/2)-(5/41+39/41)

=1-1

=2

\(=\left(1^2+2^2+...+100^2\right)\cdot0=0\)