Bài 1: Thực hiện phép tính (Tính hợp lý nếu có thể)
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a) (-124) + 24 = -100
b) 37. 78 + 37. 22
= 37 . ( 78 + 22 )
= 37 . 100
= 3700
\(63,95\times83,567+6,395\times164,33\)
\(=63,95\times83,567+6,395\times16,433\times10\)
\(=63,95\times83,567+63,95\times16,433\)
\(=63,95\times\left(83,567+16,433\right)\)
\(=63,95\times100\)
\(=6395\)
\(=\left(\dfrac{1}{2}+\dfrac{1}{2}\right)-\left(\dfrac{5}{41}+\dfrac{36}{41}\right)=1-1=0\)
`8 2/7-(3 4/9+4 2/7)`
`=8+2/7-(3+4/9+4+2/7)`
`=8+2/7-7-2/7-4/9`
`=1-4/9`
`=5/9`
8 2/7-(3 4/9+4 2/7)
=58/7-31/9-30/7
=(58/7-30/7)-31/9
=4-31/9
=5/9
\(=64\cdot\dfrac{-1}{8}+100\cdot\dfrac{1}{100}\)
=-8+1
=-7
\(A=-\dfrac{1}{6}-\left[\dfrac{9}{16}-\dfrac{9}{8}+\dfrac{3}{4}\right]\)
\(=\dfrac{-1}{6}-\dfrac{9-18+12}{16}=\dfrac{-1}{6}-\dfrac{3}{16}\)
\(=\dfrac{-8}{48}-\dfrac{9}{48}=-\dfrac{17}{48}\)
\(B=\left(-\dfrac{3}{4}+\dfrac{3}{4}\right)^2+\dfrac{3}{4}\cdot\dfrac{-5}{9}+7^3\)
=-15/36+343
=343-5/12=4111/12
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