TÍNH NHANH
\(\dfrac{9,6:0,2x15,4x2x15,4:0,25}{30,5:0,5x7,7:0,125x5x6}\)
\(\dfrac{0,5x40-0,5x20x8x0,1x0,25x10}{128:8x16x\left(4+52:4\right)}\)
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Lần thứ nhất bán 85 chiều dài tấm vải nghĩa là bán 85% độ dài tấm vải hả bạn?
Lời giải:
$x:0,125+x:50\text{%}-x-12,5=131,5$
$x\times 8+x\times 2-x-12,5=131,5$
$x\times (8+2-1)=131,5+12,5$
$x\times 9=144$
$x=144:9$
$x=16$
Lời giải:
$49,358-32,16+39,452-9,358+2,16+0,548$
$=(49,358-9,358)-(32,16-2,16)+(39,452+0,548)$
$=40-30+40=10+40=50$
Lời giải:
$41,54-4,18+23,17+8,46-5,82-3,17$
$=(41,54+8,46)-(4,18+5,82)+(23,17-3,17)$
$=50-10+20=40+20=60$
\(0,24\times450+0,8\times15\times3+3\times4\times8\)
\(=0,24\times100\times4,5+0,8\times3\times15+3\times8\times4\)
\(=24\times4,5+2,4\times10\times1,5+24\times4\)
\(=24\times4,5+24\times1,5+24\times4\)
\(=24\times\left(4,5+1,5+4\right)\)
\(=24\times10\)
\(=240\)
Lời giải:
$0,24\times 450+0,8\times 15\times 3+3\times 4\times 8$
$=108+36+96 = 240$
7.
$(3\times x-1)\times (\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16})=\frac{15}{13}$
$(3\times x-1)\times \frac{8+4+2+1}{16}=\frac{15}{13}$
$(3\times x-1)\times \frac{15}{16}=\frac{15}{13}$
$3\times x-1=\frac{15}{13}: \frac{15}{16}=\frac{16}{13}$
$3\times x=\frac{16}{13}+1=\frac{29}{13}$
$x=\frac{29}{13}:3=\frac{29}{39}$
9.
$x+\frac{1}{1\times 2}+\frac{1}{2\times 3}+....+\frac{1}{99\times 100}=\frac{101}{100}$
$x+\frac{2-1}{1\times 2}+\frac{3-2}{2\times 3}+....+\frac{100-99}{99\times 100}=\frac{101}{100}$
$x+1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+....+\frac{1}{99}-\frac{1}{100}=\frac{101}{100}$
$x+1-\frac{1}{100}=\frac{101}{100}$
$x=\frac{101}{100}+\frac{1}{100}-1=\frac{1}{50}$
0,36x950+0,18x726x2+3x324x0,12
=0,36x950+0,18x2x726+3x0,12x324
=0,36x950+0,36x726+0,36x324
=0,36x(950+726+324)
=0,36x2000
=720
\(>;< ;=?\)
\(192,4\times2\times4,7...384,8\times4,6\)
Ta có :
\(192,4\times2\times4,7=1808,56\)
\(384,8\times4,6=1770,08\)
Vì \(1808>1770\) nên \(1808,56>1770,08\) hay
\(\Rightarrow192,4\times2\times4,7>384,8\times4,6\)
Vậy \(192,4\times2\times4,7>384,8\times4,6\)
\(\dfrac{9,6:0,2\text{x}15,4\text{x}2\text{x}15,4:0,25}{30,5:0,5\text{x}7,7:0,125\text{x}5\text{x}6}\)
\(=\dfrac{9,6\text{x}5\text{x}15,4\text{x}2\text{x}15,4\text{x}4}{30,5\text{x}2\text{x}7,7\text{x}8\text{x}5\text{x}6}\)
\(=\dfrac{9,6\text{x}40\text{x}15,4\text{x}15,4}{30,5\text{x}12\text{x}40\text{x}7,7}\)
\(=\dfrac{9,6}{30,5}\text{x}\dfrac{40}{40}\text{x}\dfrac{15.4}{7,7}\text{x}\dfrac{15.4}{12}\)
\(=\dfrac{96}{305}\text{x}\dfrac{77}{60}\text{x}2=\dfrac{1232}{1525}\)