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47 x 298 + 53 x 298
= 298 x (47 + 53)
= 298 x 100
= 29 800
\(47\times298+53\times298=298\times\left(47+53\right)\)
\(=298\times100=29800\)
A) (47+53)x298=29800
B) (426+574)x617=617000
C) 396x(37-27)=3960
\(\frac{47}{53}\div\frac{17}{52}-\frac{47}{53}\times\frac{35}{17}\)
\(=\frac{47}{53}\times\frac{52}{17}-\frac{47}{53}\times\frac{35}{17}\)
\(=\frac{47}{53}\times(\frac{52}{17}-\frac{35}{17)}\)
\(=\frac{47}{53}\times\frac{17}{17}=\frac{47}{53}\times1=\frac{47}{53}\)
a: =100x26=2600
b: =78x10=780
c: =67x100=6700
d: =1000x575=575000
\(4\times26\times25=\left(4\times25\right)\times26=100\times26=2600\\ 63\times78-53\times78=\left(63-53\right)\times78=10\times78=780\\ 67\times92+67\times8=67\times\left(92+8\right)=67\times100=6700\\ 8\times23\times25\times125=\left(8\times125\right)\times\left(23\times25\right)=1000\times575=57500\)
136 x 52 + 864 x 53
= 136 x 52 + 864 x ( 52 + 1 )
= 136 x 52 + 864 x 52 + 864 x 1
= ( 136 + 864 ) x 52 + 864
= .........................
\(a.60\times\left(\frac{7}{12}+\frac{4}{15}\right)\)
\(=60\times\left(\frac{35}{60}+\frac{16}{60}\right)\)
\(=60\times\frac{51}{60}\)
\(=51\)
\(b.\frac{1}{2}\times\frac{2}{3}\times\frac{3}{4}\times\frac{4}{5}\times\frac{5}{6}\times\frac{6}{7}\times\frac{7}{8}\times\frac{8}{9}\)
\(=\frac{1\times2\times3\times4\times5\times6\times7\times8}{2\times3\times4\times5\times6\times7\times8\times9}\)
\(=\frac{1}{9}\)
a) 53✖7+53✖3 b) 5✖235✖2
=53✖(7+3) =10✖235
=53✖10 =2350
=530
\(a,53\times7+53\times3=53\times\left(7+3\right)=53\times10=530\\ b,5\times235\times2=\left(5\times2\right)\times235=10\times235=2350\)