Bài 1:Tính nhẩm:
BCNN ( 40 ; 60 ) ; BCNN ( 300 ; 700 ; 500 )
BCNN ( 2000 ; 400 ; 3000 ) ; BCNN ( 25 ; 125 ; 100 )
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.
Bài 2:
6000:30=600:3=200
5462:2=2731
45678:6=7613
Bài 1:
\(36\cdot50=36\cdot5\cdot10=180\cdot10=1800\)
\(59\cdot60=59\cdot6\cdot10=354\cdot10=3540\)
\(90\cdot40=90\cdot4\cdot10=360\cdot10=3600\)
K/c mỗi số là 3 đơn vị.
Tổng đó có số số hạng là:`(40-1):3+1=14`(số)
`=>1+4+7+...+40=((40+1).14)/2=41.7=287`
\(A=\)\(1+4+7+10+...+34+37+40\)
\(A=\)\(40+37+34+31+...+7+4+1\)
\(2A=\)\(41+41+41+41+...+41+41+\text{41}\)
\(2A=41.14=>A=\dfrac{41.14}{2}=287\)
Bài 40 :
\(a,\left(\dfrac{3}{7}+\dfrac{1}{2}\right)^2=\left(\dfrac{13}{14}\right)^2=\dfrac{13^2}{14^2}=\dfrac{169}{196}\)
\(b,\left(\dfrac{3}{4}-\dfrac{5}{6}\right)^2=\left(\dfrac{-1}{12}\right)^2=\dfrac{\left(-1\right)^2}{12^2}=\dfrac{1}{144}\)
\(c,\dfrac{5^4.20^4}{25^5.4^5}=\dfrac{5^4.\left(5.4\right)^4}{\left(5^2\right)^5.4^5}=\dfrac{5^4.5^4.4^4}{5^{10}.4^5}=\dfrac{5^8.4^4}{5^{10}.4^5}=\dfrac{1}{5^2.4}=\dfrac{1}{100}\)
\(d,\left(\dfrac{-10}{3}\right)^5.\left(\dfrac{-6}{5}\right)^4=\left(\dfrac{-10}{3}\right)^4.\left(\dfrac{-10}{3}\right).\left(\dfrac{-6}{5}\right)^4=\left(\dfrac{-10}{3}.\dfrac{-6}{5}\right)^4.\left(\dfrac{-10}{3}\right)=4^4.\dfrac{-10}{3}=256.\dfrac{-10}{3}=\dfrac{-2560}{3}\)
Bài 41 :
\(a,\left(1+\dfrac{2}{3}-\dfrac{1}{4}\right).\left(\dfrac{4}{5}-\dfrac{3}{4}\right)^2=\left(\dfrac{12}{12}+\dfrac{8}{12}-\dfrac{3}{12}\right).\left(\dfrac{16}{20}-\dfrac{15}{20}\right)^2=\dfrac{17}{12}.\left(\dfrac{1}{20}\right)^2=\dfrac{17}{12}.\dfrac{1}{400}=\dfrac{17}{4800}\)
\(b,2:\left(\dfrac{1}{2}-\dfrac{2}{3}\right)^3=2:\left(\dfrac{-1}{6}\right)^3=2:\dfrac{-1}{216}=-432\)