Matematică cu Mathilda
CLASA A V-A
Exercițiul 1
\[\displaystyle E = 2 - \frac{\left(0{,}7:0{,}4 - 1\tfrac{1}{4}\right)\cdot\left(3:2 - 3:4 + \tfrac{1}{3}\cdot 1\tfrac{1}{2}\right)}{1 - 2\tfrac{1}{2}:5}\]
Exercițiul 2
\[\displaystyle F = 2\left[\left(1\tfrac{3}{5}+2\tfrac{7}{10}\right):4\tfrac{3}{10}-\left(2\tfrac{3}{7}-2\tfrac{1}{14}\right)\cdot\dfrac{7}{5}\right]+1\]
Exercițiul 3
\[\displaystyle G = \left[\left(\frac{3}{5}\right)^{\!2}+\left(\frac{4}{5}\right)^{\!2}-\left(\frac{1}{5}\right)^{\!2}\right]\cdot\frac{1}{24}:\frac{1}{5^2}\]
Exercițiul 4
\[\displaystyle H = \left[\left(1\tfrac{1}{3}\right)^{\!2}-\left(\frac{5}{6}\right)^{\!2}+\left(1\tfrac{1}{3}-\frac{5}{6}\right)^{\!2}\right]\cdot\frac{3}{4}\cdot\frac{2^3\cdot 3^3}{2\cdot 3^2}\]
Exercițiul 5
\[\displaystyle I = \left(3\tfrac{1}{2}\right)^{\!3}-\left(1\tfrac{3}{4}\right)^{\!3}+\left(3\tfrac{1}{2}-1\tfrac{3}{4}\right)^{\!3}-0{,}875\]
Exercițiul 6
\[\displaystyle J = 3\tfrac{3}{4}+\left\{\tfrac{5}{6}-\left[3\tfrac{5}{36}-\left(5\tfrac{2}{9}-2\tfrac{5}{12}\right)\right]\right\}\cdot 4\tfrac{1}{2}\]