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58 x 58 + 52 x 58 – 10
= 58 x (58 + 52 -10)
= 58 x 100
= 5800
a)2×4,8× 0,5 +4× 16× 0,25+ 20: 10× 0,5
=(2×0,5)×4,8+(4×0,25)×16+(2×0,5)
= 4,8 + 16 +1
=21,8
b)12,5 × 3,14 ×8 +16 ×0,125 × 1,57
= 0,125×100×3,14×8+16×0,125×1,57
=(0,125×3,14×8+8×2×0,125×1,57)×100
=[0,125×3,14×8+8×0,125×(1,57×2)]×100
=[0,125×3,14×8+8×0,125×3,14]×100
= [(0,125×3,14×8)×2]×100
=6,28×100
=628
\(\dfrac{1}{4}:0,25-\dfrac{1}{8}:0,125+\dfrac{1}{2}:0,5-\dfrac{1}{16}:0,0625\\ =0,25:0,25-0,125:0,125+0,5:0,5-0,0625:0,0625\\ =1-1+1-1\\ =0+1-1\\ =1-1\\ =0\)
\(a)101\times0,75-0,75\)
\(=0,75\times(101-1)\)
\(=0,75\times100=75\)
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`b)10:0,5+4:0,25+8:0,125`
\(=10\times2+4\times4+8\times8\)
\(=5\times4+4\times4+4\times16\)
\(=4\times(5+4+16)\)
\(=4\times25=100\)
\(\dfrac{1}{10}+\dfrac{2}{10}+\dfrac{3}{10}+\dfrac{4}{10}+\dfrac{5}{10}+\dfrac{6}{10}+\dfrac{7}{10}+\dfrac{8}{10}+\dfrac{9}{10}\)
\(=\left(\dfrac{1}{10}+\dfrac{9}{10}\right)+\left(\dfrac{2}{10}+\dfrac{8}{10}\right)+\left(\dfrac{3}{10}+\dfrac{7}{10}\right)+\left(\dfrac{4}{10}+\dfrac{6}{10}\right)+\dfrac{5}{10}\)
\(=1+1+1+1+\dfrac{5}{10}\)
\(=4+\dfrac{5}{10}\)
\(=\dfrac{45}{10}\)
\(13,25:0,5+13,25:0,25+13,25:0,125+13,25\times6\)
\(=13,25:\dfrac{1}{2}+13,25:\dfrac{1}{4}+13,25:\dfrac{1}{8}+13,25\times6\)
\(=13,25\times2+13,25\times4+13,25\times8+13,25\times6\)
\(=13,25\times\left(2+4+8+6\right)\)
\(=13,25\times20\)
\(=265\)