$$18\ :\ 3\ +3$$ $$=6+3$$ $$=9$$

$$18\ :\ 3\ +3$$ $$=18\ :\ 6$$ $$=3$$

$$18\ :\ 3\ +3$$ $$=18\ :\ 3$$ $$=6$$

$$8+4\cdot2$$ $$=12\cdot2$$ $$=24$$

$$8+2\cdot4$$ $$=8\cdot4+2$$ $$=32+2$$ $$=34$$

$$7\cdot3+3\cdot\ 3$$

$$7\cdot3+3\cdot3$$ $$=21+9$$ $$=30$$

$$7\cdot3+3\cdot3$$ $$=7\cdot6\cdot3$$ $$=42\cdot3$$ $$=126$$

$$7\cdot3+3\cdot3$$ $$=7\cdot6+3$$ $$=42+3$$ $$=45$$

Denke an Punkt vor Strich. Rechne die beiden Divisionen von links nach rechts. $$60-30\ :\ 2\ :\ 5$$

$$60-30\ :\ 2\ :\ 5$$ $$=60-15\ :\ 5$$ $$=60-3$$ $$=57$$

$$60-30\ :\ 2\ :\ 5$$ $$=30\ :\ 2\ :\ 5$$ $$=15\ :\ 5$$ $$=3$$

$$60-30\ :\ 2\ :\ 5$$ $$=30\ :\ 2\ :\ 5$$ $$=30\ :\ 10$$ $$=3$$

Rechne geschickt untereinander, indem du vertauschst: $$13+24+7$$

$$13+24+7$$ $$=13+7+24$$ $$=20+24$$ $$=44$$

$$13+24+7$$ $$=7+13+24$$ $$=7+37$$ $$=44$$

Rechne geschickt untereinander, indem du vertauschst: $$8+4+2+6$$

$$8+4+2+6$$ $$=8+2+4+6$$ $$=10+10$$ $$=20$$

$$8+4+2+6$$ $$=12+2+6$$ $$=14+6$$ $$=20$$

$$8+4+2+6$$ $$=2+4+6+8$$ $$=6+6+8$$ $$=12+8$$ $$=20$$

$$2\cdot\left(8-3\right)$$

$$2\cdot\left(8-3\right)$$ $$=2\cdot5$$ $$=10$$

$$2\cdot\left(8-3\right)$$ $$=16-3$$ $$=13$$

$$2\cdot\left(8-3\right)$$ $$=\left(3-2\right)\cdot8$$ $$=1\cdot8$$ $$=8$$

$$\left(20-8\right)\ :\ 4$$

$$\left(20-8\right)\ :\ 4$$ $$=12\ :\ 4$$ $$=3$$

$$\left(20-8\right)\ :\ 4$$ $$=20-8\ :\ 4$$ $$=20-2$$ $$=18$$

$$\left(20-8\right)\ :\ 4$$ $$=20\ :\ 4-2$$ $$=5-2$$ $$=3$$

$$\left(4+6\right)\cdot\left(13-4\right)$$

$$\left(4+6\right)\cdot\left(13-4\right)$$ $$=10\cdot9$$ $$=90$$

$$\left(4+6\right)\cdot\left(13-4\right)$$ $$=10+9$$ $$=19$$

$$\left(4+6\right)\cdot\left(13-4\right)$$ $$=10\cdot17$$ $$=170$$

Welcher Term hat das gleiche Ergebnis wie $$7+3\cdot4-8\ :\ 2$$ ?

$$7+\left(3\cdot4\right)-\left(8\ :\ 2\right)$$

$$\left(7+3\right)\cdot\left(4-8\right)\ :\ 2$$

$$7+3\cdot\left(4-8\right)\ :\ 2$$

$$3\cdot\left(2\cdot\left(4+1\right)\right)$$

$$3\cdot\left(2\cdot\left(4+1\right)\right)$$ $$=3\cdot\left(2\cdot5\right)$$ $$=3\cdot10$$ $$=30$$

$$3\cdot\left(2\cdot\left(4+1\right)\right)$$ $$=6\cdot\left(4+1\right)$$ $$=6\cdot5$$ $$=30$$

$$3\cdot\left(2\cdot\left(4+1\right)\right)$$ $$=6\cdot\left(4+1\right)$$ $$=24+1$$ $$=25$$

$$2+\left(5\cdot\left(9-1\right)+2\right)$$

$$2+\left(5\cdot\left(9-1\right)+2\right)$$ $$=2+\left(5\cdot8+2\right)$$ $$=2+\left(40+2\right)$$ $$=2+42$$ $$=44$$

$$2+\left(5\cdot\left(9-1\right)+2\right)$$ $$=7+9-1+2$$ $$=16-1+2$$ $$=15+2$$ $$=17$$

$$2+\left(5\cdot\left(9-1\right)+2\right)$$ $$=2+\left(45-1+2\right)$$ $$=2+46$$ $$=48$$

$$\left(8\ :\ \left(1+1\right)-\left(2+1\right)\right)-1$$

$$\left(8\ :\ \left(1+1\right)-\left(2+1\right)\right)-1$$ $$=\left(8\ :\ 2-3\right)-1$$ $$=\left(4-3\right)-1$$ $$=1-1$$ $$=0$$

$$\left(8\ :\ \left(1+1\right)-\left(2+1\right)\right)-1$$ $$=\left(8\ :\ 2-2+1\right)-1$$ $$=\left(4-2+1\right)-1$$ $$=\left(2+1\right)-1$$ $$=3-1$$ $$=2$$

$$\left(8\ :\ \left(1+1\right)-\left(2+1\right)\right)-1$$ $$=\left(8\ :\ 1+1-2+1\right)-1$$ $$=\left(8+1-2+1\right)-1$$ $$=\left(9-2+1\right)-1$$ $$=8-1$$ $$=7$$

Die Fachbegriffe der 4 Grundrechenarten

addieren $$+$$ subtrahieren $$-$$ multiplizieren $$\cdot$$ dividieren $$:$$

addieren $$-$$ subtrahieren $$:$$ multiplizieren $$+$$ dividieren $$\cdot$$

addieren $$+$$ subtrahieren $$:$$ multiplizieren $$-$$ dividieren $$:$$

Dividiere die Summe aus 8 und 12 durch die Summe aus 6 und 4

$$\left(8+12\right)\ :\ \left(6+4\right)$$ $$=20\ :\ 10$$ $$=2$$

$$8+12\ :\ 6+4$$ $$=8+2+4$$ $$=14$$

$$12-8\cdot6-4$$ $$=12-48-4$$ $$=32$$

$$\left(8\cdot12\right)+\left(6\cdot4\right)$$ $$=96+24$$ $$=120$$

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Wie lautet die Regel?

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Das Ergebnis ist das gleiche,

egal was ich zuerst rechne.

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