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✅ التصحيح

بتطبيق: a−(b+c) = (a−b)−c حيث a−b=4 ∈ ℕ

\( \dfrac{9}{2}-\left(\dfrac{1}{2}+\dfrac{2}{3}\right) =\left(\dfrac{9}{2}-\dfrac{1}{2}\right)-\dfrac{2}{3} = 4-\dfrac{2}{3} = \dfrac{10}{3} \)

✅ التصحيح

بتطبيق: (a-c)−(b-c) = a−b [c يختصر]

\( \left(\dfrac{5}{12}-\dfrac{47}{804}\right)-\left(\dfrac{2}{6}-\dfrac{47}{804}\right) = \dfrac{5}{12}-\dfrac{2}{6} = \dfrac{1}{12} \)

✅ التصحيح

من a−x=b نستنتج x=a−b

\( \dfrac{10}{9}-x=\dfrac{4}{9} x=\dfrac{10}{9}-\dfrac{4}{9}=\dfrac{6}{9} \)

✅ التصحيح

بتطبيق: a−(b+c) = (a−b)−c حيث a−b=3 ∈ ℕ

\( \dfrac{15}{4}-\left(\dfrac{3}{4}+\dfrac{4}{7}\right) =\left(\dfrac{15}{4}-\dfrac{3}{4}\right)-\dfrac{4}{7} = 3-\dfrac{4}{7} = \dfrac{17}{7} \)

✅ التصحيح

بتطبيق: (a+c)−(b+c) = a−b [c يختصر]

\( \left(\dfrac{7}{8}+\dfrac{39}{804}\right)-\left(\dfrac{6}{10}+\dfrac{39}{804}\right) = \dfrac{7}{8}-\dfrac{6}{10} = \dfrac{11}{40} \)

✅ التصحيح

بتطبيق: a−(b+c) = (a−b)−c حيث a−b=2 ∈ ℕ

\( \dfrac{8}{3}-\left(\dfrac{4}{6}+\dfrac{4}{7}\right) =\left(\dfrac{8}{3}-\dfrac{4}{6}\right)-\dfrac{4}{7} = 2-\dfrac{4}{7} = \dfrac{10}{7} \)

✅ التصحيح

من a−x=b نستنتج x=a−b

\( \dfrac{8}{9}-x=\dfrac{4}{6} x=\dfrac{8}{9}-\dfrac{4}{6}=\dfrac{2}{9} \)

✅ التصحيح

بتطبيق: (a-c)−(b-c) = a−b [c يختصر]

\( \left(\dfrac{1}{2}-\dfrac{31}{788}\right)-\left(\dfrac{5}{11}-\dfrac{31}{788}\right) = \dfrac{1}{2}-\dfrac{5}{11} = \dfrac{1}{22} \)

✅ التصحيح

من x+a=b نستنتج x=b−a

\( x+\dfrac{2}{4}=1 x=1-\dfrac{2}{4}=\dfrac{1}{2} \)

✅ التصحيح

من a−x=b نستنتج x=a−b

\( \dfrac{19}{20}-x=\dfrac{2}{10} x=\dfrac{19}{20}-\dfrac{2}{10}=\dfrac{3}{4} \)