12) 17 – 11 – 14 – (-39)

=17-11-14+39

=6-14+39

=-8+39

=31

13) −127 - 18.( 5 - 6)

=-127-18.1

=-145
14) 100 + (+430) + 2145 + (-530)

=530+2145-530

=(530-530)+2145

=0+2145

=2145
15) (+12).13 + 13.(-22)

=13.[12+(-22)]

=13.(-10)

=-130
16) {[14 : (-2)] + 7} : 2012

={-7+7}:2012

=0:2012

=0
17) 13 – 18 – (- 42) - 15

=13-18+42-15

=-5+42-15

=37-15

=22
18) 369 – 4[(-5) + 4.(-8)]

=369-4[-5+(-32)]

=369-4(-37)

=369+148

=517
19) (-12).(-13) +13.(-29)

=12.13+13.(-29)=13.[12+(-29)]=13.(-17)=-221

20) 125 – 4[ 3 – 7.(-2) ]

=125-4[3+14]

=125-4.17

=125-68

=57
21) (-14).9 – 13.(-9)

=(-14).9+13.9

=9.[-14+13]

=9.(-1)

=-9

âm 9 nha bạn
 

a, \(7^{2019}=7^3.7^{2016}=343.\left(7^4\right)^{504}=343.\left(...1\right)^{504}=343.\left(...1\right)=\left(....3\right)\)

b, \(12^{2019}=12^3.12^{2016}=\left(...8\right).\left(12^4\right)^{504}=\left(...8\right).\left(...6\right)^{504}=\left(...8\right).\left(...6\right)=\left(...8\right)\)

c, \(11^8+12^8+13^8+14^8+15^8+16^8\)

\(=\left(...1\right)+\left(12^4\right)^2+\left(13^4\right)^2+\left(...5\right)+\left(...6\right)=\left(....1\right)+\left(....6\right)^2+\left(...1\right)^2+\left(...5\right)+\left(...6\right)\)

\(=\left(....1\right)+\left(....6\right)+\left(...1\right)+\left(...5\right)+\left(...6\right)=\left(...9\right)\)

d, \(11^{123}+13^{124}+15^{125}=\left(....1\right)+\left(13^4\right)^{31}+\left(....5\right)=\left(...1\right)+\left(...1\right)+\left(....5\right)=\left(...7\right)\)

\(a,7^{2019}=\left[7^3\right]^{673}=\overline{....}3^{673}=\overline{....3}\)

Vậy chữ số tận cùng của 7²⁰¹⁹ là 3

\(b,12^{2019}=\left[12^3\right]^{673}=\overline{....8}^{673}=\overline{....8}\)

Vậy chữ số tận cùng của 12²⁰¹⁹ là 8

Làm nốt

a)  ( − 125 ) . ( − 5 ) .8. ( − 2 ) = ( − 125 ) .8. ( − 5 ) . ( − 2 ) = − 1000.10 = − 10000

b)  ( − 127 ) . ( 1 − 582 ) − 582.127 = ( − 127 ) . ( − 581 ) − 582.127 = 127.581 − 582.127 = 127 ( 581 − 582 ) = 127. ( − 1 ) = − 127

c)  ( 43 − 13 ) . ( − 3 ) + 27. ( − 14 − 16 ) = 30. ( − 3 ) + 27. ( − 30 ) = ( − 30 ) .3 + 27. ( − 30 ) = ( − 30 ) . ( 3 + 27 ) = ( − 30 ) .30 = − 90

d)  125. ( − 61 ) . ( − 2 ) 3 . ( − 1 ) 2 n = 125. ( − 62 ) . ( − 8 ) .1 = 125. ( − 8 ) . ( − 62 ) = − 1000. ( − 62 ) = 62000

a)2.13.15=(2.15).13

=30.13

=390

A) Ta có: 

\(\dfrac{12}{13}=\dfrac{13}{13}-\dfrac{1}{13}=1-\dfrac{1}{13}\)

\(\dfrac{13}{14}=\dfrac{14}{14}-\dfrac{1}{14}=1-\dfrac{1}{14}\)

Mà \(1-\dfrac{1}{13}< -\dfrac{1}{14}\)

\(\Rightarrow\dfrac{12}{13}< \dfrac{13}{14}\)

B) Ta có:

\(\dfrac{125}{251}=\dfrac{251}{251}-\dfrac{126}{251}=1-\dfrac{126}{251}\)

\(\dfrac{127}{253}=\dfrac{253}{253}-\dfrac{126}{253}=1-\dfrac{126}{253}\)

Mà: \(1-\dfrac{126}{251}< 1-\dfrac{126}{253}\)

\(\Rightarrow\dfrac{125}{251}< \dfrac{127}{253}\)

a, (43 - 13).(-3) + 27.(-14 - 16)

= 30.(-3) + 27.(-30)

= - 30.(3 + 27)

= -30.30

= -900

b, (-72).(34 -12) - 34.(12 - 72)

= -72.34 + 72.12 - 34.12 + 34.72

= (-72.34 + 34.72) + 12.(72 - 34)

= 12.38

= 456

c, (-127).(1 - 582)  - 582.127

= - 127  + 582.127 - 582.127

=  - 127 

a) 234 - 117 + (-100) + (-234) = [234 + (-234)] - [117 + (-100)] = 0 + 17 = 17.

b) (-927) + 1421 + 930 + (-1421) = [(-927) + 927)] + (1421 + 930) = 0 + 2351 = 2351.

c) 11 - 12 + 13 - 14 + 15 - 16 + 17 -18 + 19 - 20 = (11 - 20) + (12 - 19) + (13 - 18) + (14 - 17) + (15 - 16)

= (-9) + (-7) + (-5) + (-3) + (-1) = -25.

d) 101 - 102 - (-103) - 104 - (-105) - 106 - (-107) - 108 - (-109) - 110

= (-101) + (-102) + 103 + (-104) + 105 + (-106) + 107 + (-108) + 109 + (-110)

=               (-203) +                      (-205) +           (-204) +           (-203) + (-110)

= -925.

e) (-125) + 100 + 80 + 125 + 20 = [(-125) + 125] + 100 + (80 + 20) = 0 + 100 + 100 = 200.

a ) 31 x ( - 125 ) + 225 x 31 

= 31 x [ ( - 125 ) + 225 ]

= 31 x 100

= 3100

b ) 26 x ( - 125 ) - 125 x ( - 36 )

= ( - 26 ) x 125 - 125 x ( - 36 )

= 125 x [ ( - 26 ) - ( - 36 ) ]

= 125 x 10

= 1250

a) 31 × (-125) + 225 × 31

= 31 x ( -125 + 225 )

= 31 x 100

= 3100

b) 26 × (-125) – 125 × (-36)

= -125 ( 26 - 36 ) 

= 125x 10

= 1250

d) 17 × (-37) – 23 × 37 – 46 × (-37)

= -629 - 851 + 1702

= 1480

a) 31 x (-125) + 225 x 31

= 31 x (-125 + 225)

= 31 x 100

= 3100

b) 26 x (-125) - 125 x (-36)

= 26 x (-125) - (-125) x 36

= (-125) x (26 - 36)

= (-125) x (-10)

= 1250

c) 29 x (-13) + 27 x (-29) + (-14) x (-29)

= (-29) x 13 + 27 x (-29) + (-14) x (-29)

= (-29) x (13 + 27 - 14)

= (-29) x 26

= -754

d) 17 x (-37) - 23 x 37 - 46 x (-37)

= 17 x (-37) - (-23) x (-37) - 46 x (-37)

= (-37) x (17 + 23 - 46)

= (-37) x (-6)

= 222