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\(1.\) 12 x 11 + 21 x 11 x 11 + 11 x 33
= ( 12 x 11 ) + ( 21 x 11 x 11 ) + ( 11 x 33 )
= \(132+2541+363\)
= \(3036\)
132x11-11x32-54x11
= ( 132 x 11 ) - ( 11 x 32 ) - ( 54 x 11 )
\(=1452-352-594\)
= \(506\)
\(2.\)
45 x 32 + 1245
= ( 45 x 32 ) + 1245
= 1400 + 1245
= 2685
75 x 18 + 75 x 21
= ( 75 x 18 ) + ( 75 x 21 )
= 1350 + 1575
= 2925
12 x (27+46) -1567
= 12 x 73 - 1567
= ( 12 x 73 ) - 1567
= 876 - 1567
= - 691
a) \(\dfrac{5}{8}\) + \(\dfrac{3}{8}\) :\(\dfrac{2}{3}\) = \(\dfrac{5}{8}\) + \(\dfrac{3}{8}\) .\(\dfrac{3}{2}\) = \(\dfrac{5}{8}\) + \(\dfrac{9}{16}\) = \(\dfrac{10}{16}\) + \(\dfrac{9}{16}\) = \(\dfrac{19}{16}\)
b) \(\dfrac{1}{72}\) .\(\dfrac{144}{23}\) + \(\dfrac{1}{46}\) = \(\dfrac{2}{23}\) + \(\dfrac{1}{46}\) = \(\dfrac{4}{46}\) + \(\dfrac{1}{46}\) = \(\dfrac{5}{46}\)
=2+9+1+18+1+27+1+36+1+45+1+54+1+63+1+1
=9+9x2+9x3+9x4+9x5+9x6+9x7+9
=9x(1+2+3+4+5+6+7+1)
=9x29
2+10+19+28+37+46+55+64
=2+9+1+18+1+17+1+36+1+45+1+54+1+63+1
=9+9x2+9x3+9x4+9x5+9x6+9x7+9
=9x(1+2+3+4+5+6+7+1)
=9x29
=2+9+1+18+1+27+1+36+1+45+1+54+1+63+1
=9+9x2+9x3+9x4+9x5+9x6+9x7+9
=9x(1+2+3+4+5+6+7+1)
=9x29
a. … = 76 266 – 34 578 = 41 688
… = 126 x 37 = 4662
b. ... = 46 857 + 123 = 46 980
…= 601 759 – 142 = 601 617
\(\dfrac{1}{72}\) x \(\dfrac{144}{23}+\dfrac{1}{46}\)
= \(\dfrac{2}{144}\) x \(\dfrac{144}{23}\) \(+\dfrac{1}{46}\)
= \(\dfrac{2}{23}+\dfrac{1}{46}\)
= \(\dfrac{4}{46}+\dfrac{1}{46}\)
\(=\dfrac{5}{46}\)