Lineare Algebra Beispiele

$[\begin{array}{c} 11 & 3 & 20 & 18.5 \\ 14 & 2 & 15 & 23.5 \\ 6 & 3 & 13 & 16.2 \\ 0 & 2 & 31 & 13.3 \\ 5 & 4 & 10 & 15.5 \end{array}] + [\begin{array}{c} 8 & 1 & 10 & 15 \\ 7 & 2 & 10 & 16 \\ 5 & 2 & 7 & 12 \\ 1 & 2 & 19 & 11 \\ 4 & 2 & 16 & 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 1

Addiere die entsprechenden Elemente.

$[\begin{array}{c} 11 + 8 & 3 + 1 & 20 + 10 & 18.5 + 15 \\ 14 + 7 & 2 + 2 & 15 + 10 & 23.5 + 16 \\ 6 + 5 & 3 + 2 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2

Vereinfache jedes Element.

Tippen, um mehr Schritte zu sehen ...

Schritt 2.1

Addiere $11$ und $8$ .

$[\begin{array}{c} 19 & 3 + 1 & 20 + 10 & 18.5 + 15 \\ 14 + 7 & 2 + 2 & 15 + 10 & 23.5 + 16 \\ 6 + 5 & 3 + 2 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.2

Addiere $3$ und $1$ .

$[\begin{array}{c} 19 & 4 & 20 + 10 & 18.5 + 15 \\ 14 + 7 & 2 + 2 & 15 + 10 & 23.5 + 16 \\ 6 + 5 & 3 + 2 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.3

Addiere $20$ und $10$ .

$[\begin{array}{c} 19 & 4 & 30 & 18.5 + 15 \\ 14 + 7 & 2 + 2 & 15 + 10 & 23.5 + 16 \\ 6 + 5 & 3 + 2 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.4

Addiere $18.5$ und $15$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 14 + 7 & 2 + 2 & 15 + 10 & 23.5 + 16 \\ 6 + 5 & 3 + 2 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.5

Addiere $14$ und $7$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 2 + 2 & 15 + 10 & 23.5 + 16 \\ 6 + 5 & 3 + 2 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.6

Addiere $2$ und $2$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 15 + 10 & 23.5 + 16 \\ 6 + 5 & 3 + 2 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.7

Addiere $15$ und $10$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 23.5 + 16 \\ 6 + 5 & 3 + 2 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.8

Addiere $23.5$ und $16$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 6 + 5 & 3 + 2 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.9

Addiere $6$ und $5$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 3 + 2 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.10

Addiere $3$ und $2$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 13 + 7 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.11

Addiere $13$ und $7$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 20 & 16.2 + 12 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.12

Addiere $16.2$ und $12$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 20 & 28.2 \\ 0 + 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.13

Addiere $0$ und $1$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 20 & 28.2 \\ 1 & 2 + 2 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.14

Addiere $2$ und $2$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 20 & 28.2 \\ 1 & 4 & 31 + 19 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.15

Addiere $31$ und $19$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 20 & 28.2 \\ 1 & 4 & 50 & 13.3 + 11 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.16

Addiere $13.3$ und $11$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 20 & 28.2 \\ 1 & 4 & 50 & 24.3 \\ 5 + 4 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.17

Addiere $5$ und $4$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 20 & 28.2 \\ 1 & 4 & 50 & 24.3 \\ 9 & 4 + 2 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.18

Addiere $4$ und $2$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 20 & 28.2 \\ 1 & 4 & 50 & 24.3 \\ 9 & 6 & 10 + 16 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.19

Addiere $10$ und $16$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 20 & 28.2 \\ 1 & 4 & 50 & 24.3 \\ 9 & 6 & 26 & 15.5 + 13 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 2.20

Addiere $15.5$ und $13$ .

$[\begin{array}{c} 19 & 4 & 30 & 33.5 \\ 21 & 4 & 25 & 39.5 \\ 11 & 5 & 20 & 28.2 \\ 1 & 4 & 50 & 24.3 \\ 9 & 6 & 26 & 28.5 \end{array}] + [\begin{array}{c} 4 & 6 & 11 & 13.3 \\ 12 & 6 & 4 & 17.1 \\ 0 & 0 & 0 & 0 \\ 0 & 8 & 10 & 8.4 \\ 2 & 3 & 7 & 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 3

Addiere die entsprechenden Elemente.

$[\begin{array}{c} 19 + 4 & 4 + 6 & 30 + 11 & 33.5 + 13.3 \\ 21 + 12 & 4 + 6 & 25 + 4 & 39.5 + 17.1 \\ 11 + 0 & 5 + 0 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4

Vereinfache jedes Element.

Tippen, um mehr Schritte zu sehen ...

Schritt 4.1

Addiere $19$ und $4$ .

$[\begin{array}{c} 23 & 4 + 6 & 30 + 11 & 33.5 + 13.3 \\ 21 + 12 & 4 + 6 & 25 + 4 & 39.5 + 17.1 \\ 11 + 0 & 5 + 0 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.2

Addiere $4$ und $6$ .

$[\begin{array}{c} 23 & 10 & 30 + 11 & 33.5 + 13.3 \\ 21 + 12 & 4 + 6 & 25 + 4 & 39.5 + 17.1 \\ 11 + 0 & 5 + 0 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.3

Addiere $30$ und $11$ .

$[\begin{array}{c} 23 & 10 & 41 & 33.5 + 13.3 \\ 21 + 12 & 4 + 6 & 25 + 4 & 39.5 + 17.1 \\ 11 + 0 & 5 + 0 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.4

Addiere $33.5$ und $13.3$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 21 + 12 & 4 + 6 & 25 + 4 & 39.5 + 17.1 \\ 11 + 0 & 5 + 0 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.5

Addiere $21$ und $12$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 4 + 6 & 25 + 4 & 39.5 + 17.1 \\ 11 + 0 & 5 + 0 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.6

Addiere $4$ und $6$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 25 + 4 & 39.5 + 17.1 \\ 11 + 0 & 5 + 0 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.7

Addiere $25$ und $4$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 39.5 + 17.1 \\ 11 + 0 & 5 + 0 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.8

Addiere $39.5$ und $17.1$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 + 0 & 5 + 0 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.9

Addiere $11$ und $0$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 + 0 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.10

Addiere $5$ und $0$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 + 0 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.11

Addiere $20$ und $0$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 & 28.2 + 0 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.12

Addiere $28.2$ und $0$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 & 28.2 \\ 1 + 0 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.13

Addiere $1$ und $0$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 & 28.2 \\ 1 & 4 + 8 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.14

Addiere $4$ und $8$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 & 28.2 \\ 1 & 12 & 50 + 10 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.15

Addiere $50$ und $10$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 & 28.2 \\ 1 & 12 & 60 & 24.3 + 8.4 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.16

Addiere $24.3$ und $8.4$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 & 28.2 \\ 1 & 12 & 60 & 32.7 \\ 9 + 2 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.17

Addiere $9$ und $2$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 & 28.2 \\ 1 & 12 & 60 & 32.7 \\ 11 & 6 + 3 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.18

Addiere $6$ und $3$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 & 28.2 \\ 1 & 12 & 60 & 32.7 \\ 11 & 9 & 26 + 7 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.19

Addiere $26$ und $7$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 & 28.2 \\ 1 & 12 & 60 & 32.7 \\ 11 & 9 & 33 & 28.5 + 12.8 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 4.20

Addiere $28.5$ und $12.8$ .

$[\begin{array}{c} 23 & 10 & 41 & 46.8 \\ 33 & 10 & 29 & 56.6 \\ 11 & 5 & 20 & 28.2 \\ 1 & 12 & 60 & 32.7 \\ 11 & 9 & 33 & 41.3 \end{array}] + [\begin{array}{c} 1 & 5 & 5 & 12.4 \\ 8 & 6 & 3 & 17.4 \\ 1 & 8 & 5 & 11.7 \\ 0 & 5 & 8 & 9.2 \\ 1 & 5 & 3 & 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 5

Addiere die entsprechenden Elemente.

$[\begin{array}{c} 23 + 1 & 10 + 5 & 41 + 5 & 46.8 + 12.4 \\ 33 + 8 & 10 + 6 & 29 + 3 & 56.6 + 17.4 \\ 11 + 1 & 5 + 8 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6

Vereinfache jedes Element.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1

Addiere $23$ und $1$ .

$[\begin{array}{c} 24 & 10 + 5 & 41 + 5 & 46.8 + 12.4 \\ 33 + 8 & 10 + 6 & 29 + 3 & 56.6 + 17.4 \\ 11 + 1 & 5 + 8 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.2

Addiere $10$ und $5$ .

$[\begin{array}{c} 24 & 15 & 41 + 5 & 46.8 + 12.4 \\ 33 + 8 & 10 + 6 & 29 + 3 & 56.6 + 17.4 \\ 11 + 1 & 5 + 8 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.3

Addiere $41$ und $5$ .

$[\begin{array}{c} 24 & 15 & 46 & 46.8 + 12.4 \\ 33 + 8 & 10 + 6 & 29 + 3 & 56.6 + 17.4 \\ 11 + 1 & 5 + 8 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.4

Addiere $46.8$ und $12.4$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 33 + 8 & 10 + 6 & 29 + 3 & 56.6 + 17.4 \\ 11 + 1 & 5 + 8 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.5

Addiere $33$ und $8$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 10 + 6 & 29 + 3 & 56.6 + 17.4 \\ 11 + 1 & 5 + 8 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.6

Addiere $10$ und $6$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 29 + 3 & 56.6 + 17.4 \\ 11 + 1 & 5 + 8 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.7

Addiere $29$ und $3$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 56.6 + 17.4 \\ 11 + 1 & 5 + 8 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.8

Addiere $56.6$ und $17.4$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 11 + 1 & 5 + 8 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.9

Addiere $11$ und $1$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 5 + 8 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.10

Addiere $5$ und $8$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 20 + 5 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.11

Addiere $20$ und $5$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 25 & 28.2 + 11.7 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.12

Addiere $28.2$ und $11.7$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 25 & 39.9 \\ 1 + 0 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.13

Addiere $1$ und $0$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 25 & 39.9 \\ 1 & 12 + 5 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.14

Addiere $12$ und $5$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 25 & 39.9 \\ 1 & 17 & 60 + 8 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.15

Addiere $60$ und $8$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 25 & 39.9 \\ 1 & 17 & 68 & 32.7 + 9.2 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.16

Addiere $32.7$ und $9.2$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 25 & 39.9 \\ 1 & 17 & 68 & 41.9 \\ 11 + 1 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.17

Addiere $11$ und $1$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 25 & 39.9 \\ 1 & 17 & 68 & 41.9 \\ 12 & 9 + 5 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.18

Addiere $9$ und $5$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 25 & 39.9 \\ 1 & 17 & 68 & 41.9 \\ 12 & 14 & 33 + 3 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.19

Addiere $33$ und $3$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 25 & 39.9 \\ 1 & 17 & 68 & 41.9 \\ 12 & 14 & 36 & 41.3 + 9.5 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 6.20

Addiere $41.3$ und $9.5$ .

$[\begin{array}{c} 24 & 15 & 46 & 59.2 \\ 41 & 16 & 32 & 74 \\ 12 & 13 & 25 & 39.9 \\ 1 & 17 & 68 & 41.9 \\ 12 & 14 & 36 & 50.8 \end{array}] + [\begin{array}{c} 8 & 8 & 12 & 15 \\ 4 & 7 & 15 & 12.9 \\ 5 & 8 & 10 & 10.8 \\ 0 & 7 & 18 & 10 \\ 8 & 7 & 8 & 12.6 \end{array}]$

Schritt 7

Addiere die entsprechenden Elemente.

$[\begin{array}{c} 24 + 8 & 15 + 8 & 46 + 12 & 59.2 + 15 \\ 41 + 4 & 16 + 7 & 32 + 15 & 74 + 12.9 \\ 12 + 5 & 13 + 8 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8

Vereinfache jedes Element.

Tippen, um mehr Schritte zu sehen ...

Schritt 8.1

Addiere $24$ und $8$ .

$[\begin{array}{c} 32 & 15 + 8 & 46 + 12 & 59.2 + 15 \\ 41 + 4 & 16 + 7 & 32 + 15 & 74 + 12.9 \\ 12 + 5 & 13 + 8 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.2

Addiere $15$ und $8$ .

$[\begin{array}{c} 32 & 23 & 46 + 12 & 59.2 + 15 \\ 41 + 4 & 16 + 7 & 32 + 15 & 74 + 12.9 \\ 12 + 5 & 13 + 8 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.3

Addiere $46$ und $12$ .

$[\begin{array}{c} 32 & 23 & 58 & 59.2 + 15 \\ 41 + 4 & 16 + 7 & 32 + 15 & 74 + 12.9 \\ 12 + 5 & 13 + 8 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.4

Addiere $59.2$ und $15$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 41 + 4 & 16 + 7 & 32 + 15 & 74 + 12.9 \\ 12 + 5 & 13 + 8 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.5

Addiere $41$ und $4$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 16 + 7 & 32 + 15 & 74 + 12.9 \\ 12 + 5 & 13 + 8 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.6

Addiere $16$ und $7$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 32 + 15 & 74 + 12.9 \\ 12 + 5 & 13 + 8 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.7

Addiere $32$ und $15$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 74 + 12.9 \\ 12 + 5 & 13 + 8 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.8

Addiere $74$ und $12.9$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 12 + 5 & 13 + 8 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.9

Addiere $12$ und $5$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 13 + 8 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.10

Addiere $13$ und $8$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 25 + 10 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.11

Addiere $25$ und $10$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 35 & 39.9 + 10.8 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.12

Addiere $39.9$ und $10.8$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 35 & 50.7 \\ 1 + 0 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.13

Addiere $1$ und $0$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 35 & 50.7 \\ 1 & 17 + 7 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.14

Addiere $17$ und $7$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 35 & 50.7 \\ 1 & 24 & 68 + 18 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.15

Addiere $68$ und $18$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 35 & 50.7 \\ 1 & 24 & 86 & 41.9 + 10 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.16

Addiere $41.9$ und $10$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 35 & 50.7 \\ 1 & 24 & 86 & 51.9 \\ 12 + 8 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.17

Addiere $12$ und $8$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 35 & 50.7 \\ 1 & 24 & 86 & 51.9 \\ 20 & 14 + 7 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.18

Addiere $14$ und $7$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 35 & 50.7 \\ 1 & 24 & 86 & 51.9 \\ 20 & 21 & 36 + 8 & 50.8 + 12.6 \end{array}]$

Schritt 8.19

Addiere $36$ und $8$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 35 & 50.7 \\ 1 & 24 & 86 & 51.9 \\ 20 & 21 & 44 & 50.8 + 12.6 \end{array}]$

Schritt 8.20

Addiere $50.8$ und $12.6$ .

$[\begin{array}{c} 32 & 23 & 58 & 74.2 \\ 45 & 23 & 47 & 86.9 \\ 17 & 21 & 35 & 50.7 \\ 1 & 24 & 86 & 51.9 \\ 20 & 21 & 44 & 63.4 \end{array}]$