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a) 17 + 15 + (-27)
= (17 - 27) + 15
= -10 + 15
= 5
b) 13.75 + 25.13 - 300
= 13.(75 + 26) - 300
= 13.100 - 300
= 1300 - 300
= 1000
c) 80 - (4.5² - 5.2³) + 2021⁰
= 80 - (4.25 - 5.8) + 1
= 80 - (100 - 40) + 1
= 80 - 60 + 1
= 20 + 1
= 21
a) 13.7 + 7.7
= (13 + 7).7
= 20 . 7
= 140
b) 23 . 2016 . 52
= 8 . 2016 . 25
= 200 . 2016
= 403200
c) 32 . 15 - 5.9
= 9.15 - 5.9
= (15 - 5).9
= 10.9
= 90
d) 13 + 15 + ........... + 57 + 59
Áp dụng công thức tính dãy số ta có :
\(\frac{\left[\left(59-13\right):2+1\right].\left(59+13\right)}{2}=\frac{24.72}{2}=864\)
a) 13 . 7 + 7 . 7
= (13 + 7) . 7
= 20 . 7
= 140
b) 23 . 2016 . 52
= 8 . 2016 . 25
= ( 8 . 25 ) . 2016
= 200 . 2016
= 403200
c) 32 . 15 - 5 . 9
= 9 . 15 - 45
= 9 . 15 - 15 . 3
= ( 9 - 3 ) . 15
= 6 . 15
= 90
d) 13 + 15 + ........ + 57 + 59
Dãy số trên có số số hạng là:
( 59 - 13 ) : 2 + 1= 24 ( số hạng )
Tổng của dãy số trên là:
( 59 + 13 ) x 24 : 2 = 864
MK lm bài 1:
\(\left(a-b\right)\left(a+b\right)=a^2+ab-ab-b^2=a^2-b^2\)
Bài 1:
\(\left(a-b\right)\left(a+b\right)=a^2+ab-ab-b^2\)
\(=a^2-b^2\)
Câu 9
a) 2/15 + (-3/5)
= 2/15 - 3/5
= 2/15 - 9/15
= -7/15
b) -5/7 + 3/7 . (-2/9)
= -5/7 - 2/21
= -15/21 - 2/21
= -17/21
c) 5/16 - (7/15 - 3/16) + 17/30
= 5/16 - 7/15 + 3/16 + 17/30
= (5/16 + 3/16) + (17/30 - 14/30)
= 1/2 + 1/10
= 5/10 + 1/10
= 6/10
= 3/5
\(a,\dfrac{2}{15}+\left(-\dfrac{3}{5}\right)\\ =\dfrac{2}{15}-\dfrac{3}{5}\\ =\dfrac{2}{15}-\dfrac{9}{15}\\ =-\dfrac{7}{15}\\ b,-\dfrac{5}{7}+\dfrac{3}{7}\times\left(-\dfrac{2}{9}\right)\\ =-\dfrac{5}{7}-\dfrac{2}{21}\\ =-\dfrac{15}{21}-\dfrac{2}{21}\\ =-\dfrac{17}{21}\\ c,\dfrac{5}{16}-\left(\dfrac{7}{15}-\dfrac{3}{16}\right)+\dfrac{17}{30}\\ =\dfrac{5}{16}-\dfrac{7}{15}+\dfrac{3}{16}+\dfrac{17}{30}\\ =\left(\dfrac{5}{16}+\dfrac{3}{16}\right)-\left(\dfrac{17}{15}+\dfrac{17}{30}\right)\\ =\dfrac{1}{2}-\dfrac{17}{10}\\ =\dfrac{5}{10}-\dfrac{17}{10}\\ =-\dfrac{6}{5}.\)
a)2.18.14+3.17.12+4.69.9
=(2.18).14+(12.3).17+(4.9).69
=36.14+36.17+36.69
=36.(14+17+69)
=36.100
=3600
b)1+(-3)+5+(-7)+9+(-11)+13+(-15)
=[1+(-3)]+[5+(-7)]+[9+(-11)]+[13+(-15)]
=(-2)+(-2)+(-2)+(-2)
=(-8)
\(\left[504-\left(5^2.8+70\right):3^3+6\right]:25\)
\(\left[504-\left(25.8+70\right):27+6\right]:25\)
\(\left[504-\left(200+70\right):27+6\right]:25\)
\(\left[504-270:27+6\right]:25\)
\(\left[504-10+6\right]:25\)
\(\left[494+6\right]:25\)
\(500:25\)
= 20
\(\left[504-(5^2\cdot8+70):3^3+6\right]:25\)
\(=\left[504-(25\cdot8+70):27+6\right]:25\)
\(=\left[504-(200+70):27+6\right]:25\)
\(=\left[504-270:27+6\right]:25\)
\(=\left[504-10+6\right]:25\)
\(=\left[494+6\right]:25\)
\(=500:25=20\)
\(\text{Ko chắc }:)\)
c) Ta có: \(\dfrac{3}{5}+\dfrac{-5}{20}+\dfrac{30}{75}+\dfrac{-7}{4}\)
\(=\dfrac{3}{5}+\dfrac{2}{5}+\dfrac{-1}{4}+\dfrac{-7}{4}\)
\(=1-2=-1\)
Giải:
a)-1/12+4/3=-1/12+16/12=15/12=5/4
b)(-4/14-3/15)-(1/5-20/35-(-1)).7
=-17/35-22/35.7
=-17/35-22/5
=-171/35
c)3/5+-5/20+30/75+-7/4
=3/5+-1/4+2/5+-7/4
=(3/5+2/5)+(-1/4+-7/4)
=1+-2
=-1
d)5/6.-12/14+7/13
=-5/7+7/13
=-16/91
e)2/-9-5/-36-1/4
=-1/12-1/4
=-1/3
f)2/23+-5/12+7/18+21/23+-7/12
=(2/23+21/23)+(-5/12+-7/12)+7/18
=1+-1+7/18
=7/18
b) 36 : 3 2 + 3 2 . 2 3 -150
= 36 : 9 + 9 . 8 – 1 = 4 + 72 – 1 = 76 – 1 = 75