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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
a: \(2\cdot4\cdot8\cdot0,5\cdot0,125\cdot0,25\cdot\left(0,4321+0,5679\right)\)
\(=\left(2\cdot0,5\right)\cdot\left(4\cdot0,25\right)\cdot\left(8\cdot0,125\right)\cdot1\)
\(=1\cdot1\cdot1\cdot1=1\)
b: \(3,7\cdot3,8+8,3\cdot3,7-0,4\cdot3,7\cdot5\)
\(=3.7\left(3,8+8,3\right)-3,7\cdot2\)
\(=3,7\cdot12,1-3,7\cdot2\)
\(=3,7\left(12,1-2\right)=3,7\cdot10,1=37,37\)
c: \(0,51:0,1+0,57:1,9+0,49:0,1-0,3\)
\(=0,51\cdot10+0,49\cdot10+0,57:1,9-0,3\)
\(=10\left(0,51+0,49\right)+0,3-0,3\)
\(=10\cdot1=10\)
\(\dfrac{1}{4}:0,25-\dfrac{1}{8}:0,125+\dfrac{1}{2}:0,5-\dfrac{1}{16}:0,0625\\ =0,25:0,25-0,125:0,125+0,5:0,5-0,0625:0,0625\\ =1-1+1-1\\ =0+1-1\\ =1-1\\ =0\)
\(a)101\times0,75-0,75\)
\(=0,75\times(101-1)\)
\(=0,75\times100=75\)
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`b)10:0,5+4:0,25+8:0,125`
\(=10\times2+4\times4+8\times8\)
\(=5\times4+4\times4+4\times16\)
\(=4\times(5+4+16)\)
\(=4\times25=100\)
\(\dfrac{1}{10}+\dfrac{2}{10}+\dfrac{3}{10}+\dfrac{4}{10}+\dfrac{5}{10}+\dfrac{6}{10}+\dfrac{7}{10}+\dfrac{8}{10}+\dfrac{9}{10}\)
\(=\left(\dfrac{1}{10}+\dfrac{9}{10}\right)+\left(\dfrac{2}{10}+\dfrac{8}{10}\right)+\left(\dfrac{3}{10}+\dfrac{7}{10}\right)+\left(\dfrac{4}{10}+\dfrac{6}{10}\right)+\dfrac{5}{10}\)
\(=1+1+1+1+\dfrac{5}{10}\)
\(=4+\dfrac{5}{10}\)
\(=\dfrac{45}{10}\)
\(13,25:0,5+13,25:0,25+13,25:0,125+13,25\times6\)
\(=13,25:\dfrac{1}{2}+13,25:\dfrac{1}{4}+13,25:\dfrac{1}{8}+13,25\times6\)
\(=13,25\times2+13,25\times4+13,25\times8+13,25\times6\)
\(=13,25\times\left(2+4+8+6\right)\)
\(=13,25\times20\)
\(=265\)
4,4 \(\times\) 76 + 2,2:0,5 \(\times\) 10 + 4,4: 0,25 + 4,4:0,1
= 4,4 \(\times\) 76 + 2,2 \(\times\) 2 \(\times\) 10 + 4,4 \(\times\) 4 + 4,4 \(\times\) 10
= 4,4 \(\times\) 76 + 4,4 \(\times\) 10 + 4,4 \(\times\) 4 + 4,4 \(\times\) 10
= 4,4 \(\times\) ( 76 + 10 + 4 + 10)
= 4,4 \(\times\) { (76+4) + (10+10)}
= 4,4 \(\times\) ( 80 + 20)
= 4,4 \(\times\) 100
= 440