Tính nhanh:B=43*102
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(637.527-189):(526.637+448)
= \(\frac{637.527-189}{526.637+448}\)
= \(\frac{637.\left(526+1\right)-189}{526.637+448}\)
= \(\frac{637.526+637-189}{526.637+448}\)
= \(\frac{637.526+448}{526.637+448}\)
= \(1\)
\(B=1+\left(3^2-2^2\right)+\left(5^2-4^2\right)+...+\left(2009^2-2008^2\right)\)
\(=1+\left(3-2\right)\left(3+2\right)+\left(5-4\right)\left(5+4\right)+...+\left(2009-2008\right)\left(2009+2008\right)\)
\(=1+2+3+4+...+2009=\dfrac{2009.2010}{2}=...\)
c: C=1*2+2*3+3*4+...+58*59+59*60
=>3*C=1*2*3+2*3*(4-1)+3*4*(5-2)+...+58*59(60-57)+59*60(61-58)
=>3*C=1*2*3+2*3*4-1*2*3+...+58*59*60-58*59*57+59*60*61-58*59*60
=>3*C=59*60*61
=>C=59*20*61=71980
a) \(\left(42\times43+43\times57+43\right)-360:4\)
\(=43\times\left(42+57+1\right)-90\)
\(=43\times100-90\)
\(=4300-90\)
\(=4210\)
b) \(\left(372-19\times4\right)+\left(981:9-13\right)\)
\(=\left(4\times93-19\times4\right)+\left(109-13\right)\)
\(=4\times\left(93-19\right)+109-13\)
\(=4\times74+109-13\)
\(=296+109-13\)
\(=392\)
c) \(456:2\times18+456:3-102\)
\(=456\times\frac{1}{2}\times18+456\times\frac{1}{3}-102\)
\(=456\times\left(\frac{1}{2}\times18+\frac{1}{3}\right)-102\)
\(=456\times\left(9+\frac{1}{3}\right)-102\)
\(=456\times\frac{28}{3}-102\)
\(=4256-102\)
\(=4154\)
ko bk tính nhanh!
a)( 42 x 43 + 57+43 ) - 360 :4 b) (372 - 19 x 4 ) + ( 981 : 9 - 13 )
= 43 x (42 + 57 +1 ) - 90 = (372 - 76 ) + ( 109 - 13)
= 43 x 100 - 90 = 296 + 96
= 4300 - 90 = 392
= 4210
B = 43 x 102
B = 43 x (100 + 2)
B = 43 x 2 + 43 x 100
B = 86 + 4300
B = 4386
B=43x102
=43x100+43x2
=4300+68
=4386(cách nhanh nhất có thể)