Kopertina e librit Matematika 9

Zgjidhja e ushtrimit 6

Zgjidhja e ushtrimit 6 të mësimit 8H në librin Matematika 9 nga shtëpia botuese Botime Pegi me autorë Deborah Barton.


Pyetja

Fatma kryen pjesëtimin 6.24:0.46.24:0.4 si më poshtë:

6.24:0.4=624100:410=624100:410=624100×104=15610=15610=15.66.24:0.4=6\dfrac{24}{100}:\dfrac{4}{10}=\dfrac{624}{100}:\dfrac{4}{10}=\dfrac{624}{\cancel{100}}\times\dfrac{\cancel{10}}{4}=\dfrac{156}{10}=15\dfrac{6}{10}=15.6

Duke përdorur metodën e Fatmës, kryeni pjesëtimet:

  1. 8:0.28:0.2
  2. 3.4:0.23.4:0.2
  3. 8.5:1.78.5:1.7
  4. 4.5:0.154.5:0.15

Zgjidhja

  1. 8:0.2=81:0210=81:210=81×102=4×10=408:0.2=\dfrac{8}{1}:0\dfrac{2}{10}=\dfrac{8}{1}:\dfrac{2}{10}=\dfrac{\cancel8}{1}\times\dfrac{10}{\cancel2}=4\times10=40
  2. 3.4:0.2=3410:0210=3410:210=3410×102=173.4:0.2=3\dfrac{4}{10}:0\dfrac{2}{10}=\dfrac{34}{10}:\dfrac{2}{10}=\dfrac{\cancel{34}}{\cancel{10}}\times\dfrac{\cancel{10}}{\cancel2}={17}
  3. 8.5:1.7=8510:1710=8510:1710=8510×1017=58.5:1.7=8\dfrac{5}{10}:1\dfrac{7}{10}=\dfrac{85}{10}:\dfrac{17}{10}=\dfrac{85}{10}\times\dfrac{10}{17}=5
  4. 4.5:0.15=4510:015100=4510:15100=4510×10015=304.5:0.15=4\dfrac{5}{10}:0\dfrac{15}{100}=\dfrac{45}{10}:\dfrac{15}{100}=\dfrac{\cancel{45}}{\cancel{10}}\times\dfrac{\cancel{100}}{\cancel{15}}=30