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9 x 4 x 198 - 6 x 18 x 17 - 36 x 47
= 36 x 198 - 36 x 51 - 36 x 47
= 36 x (198 - 51 - 47)
= 36 x 100
= 3600
=\(\frac{36.950+36.726+36.324}{\left(29+1\right).15:2-152}\)
=\(\frac{36.\left(950+726+324\right)}{73}\)
=\(\frac{36.2000}{73}\)
=\(\frac{72000}{73}\)
\(\frac{36\times950+18\times726\times2+3\times324\times12}{1+3+5+7+9+....+27+29+31-152}\)
\(=\frac{36\times950+\left(18\times2\right)\times726+324\times\left(12\times3\right)}{\left(31+1\right)\times16\div2-152}\)
\(=\frac{36\times950+36\times726+324\times36}{256-152}\)
\(=\frac{36\times\left(950+726+324\right)}{104}\)
\(=\frac{36\times2000}{104}=\frac{72000}{104}=\frac{9000}{13}\)
Tính bằng cách thuận tiện nhất :
a. 67 x 126 - 67 x 84 - 41 x 67 - 67
= 67 x 126 - 67 x 84 - 41 x 67 - 67 x 1
= 67 ( 126 - 84 - 41 - 1 )
= 67 x 0
=0
b. 36 x 2 x 2 + 7 x 28
= 2 ( 36 x 2 + 14 x 7 )
= 2 x 170
= 340
c. 24 x 18 + 12 x 64
= 12 x 2 x 18 + 12 x 64
= 12 ( 2 x 18 + 64)
= 12 x 100
= 1200
a. 67 x 126 - 67 x 84 - 41 x 67 - 67
= 67 x 126 - 67 x 84 - 41 x 67 - 67 x 1
= 67 ( 126 - 84 - 41 - 1 )
= 67 x 0
=0
b. 36 x 2 x 2 + 7 x 28
= 2 ( 36 x 2 + 14 x 7 )
= 2 x 170
= 340
c. 24 x 18 + 12 x 64
= 12 x 2 x 18 + 12 x 64
= 12 ( 2 x 18 + 64)
= 12 x 100
= 1200
\(419:\left(8\times8\times4,18+0,17\times2,5+2,09\times2\times36+0,23\times2,5\right)\)
\(=419:\left(64\times4,18+0,17\times2,5+4,18\times36+0,23\times2,5\right)\)
\(=419:\left[\left(64+36\right)\times4,18+\left(0,17+0,23\right)\times2,5\right]\)
\(=419:\left[100\times4,18+0,4\times2,5\right]\)
\(=419:\left[418+1\right]\)
\(=419:419\)
\(=1\)
\(=\dfrac{419}{64\cdot4.18+0,17\cdot2,5+2,09\cdot72+0,23\cdot2,5}\)
\(=\dfrac{419}{0,4\cdot2,5+64\cdot4,18+2,09\cdot72}\)
\(=\dfrac{419}{1+418}=1\)
42 x 3 + 18 x 32 + 18 x 61
= 6 x 7 x 3 + 18 x 32 + 18 x 61
= 18 x 7 + 18 x 32 + 18 x 61
= 18 x (7 + 32 + 61)
= 18 x 100
= 1800
\(42\times3+18\times32+18\times61\)
\(=6\times7\times3+18\times32+18\times61\)
\(=18\times7+18\times32+18\times61\)
\(=18\times\left(7+32+61\right)\)
\(=18\times100\)
\(=1800\)
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\(=\dfrac{45\cdot100\cdot0.25}{35\cdot100\cdot36}=\dfrac{45}{36}\cdot\dfrac{0.25}{35}=\dfrac{5}{4}\cdot\dfrac{1}{140}=\dfrac{1}{28\cdot4}=\dfrac{1}{112}\)