Lineare Algebra Beispiele

$[\begin{array}{c} 1 & 8 & 4 & 9.7 \\ 3 & 5 & 2 & 10.7 \\ 6 & 5 & 3 & 11.9 \\ 1 & 4 & 5 & 7.6 \\ 5 & 6 & 4 & 10.4 \end{array}] + [\begin{array}{c} 9 & 5 & 11 & 18.2 \\ 4 & 1 & 11 & 14.9 \\ 11 & 7 & 15 & 19.4 \\ 2 & 8 & 23 & 12.5 \\ 16 & 1 & 5 & 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 1

Addiere die entsprechenden Elemente.

$[\begin{array}{c} 1 + 9 & 8 + 5 & 4 + 11 & 9.7 + 18.2 \\ 3 + 4 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2

Vereinfache jedes Element.

Tippen, um mehr Schritte zu sehen ...

Schritt 2.1

Addiere $1$ und $9$ .

$[\begin{array}{c} 10 & 8 + 5 & 4 + 11 & 9.7 + 18.2 \\ 3 + 4 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.2

Addiere $8$ und $5$ .

$[\begin{array}{c} 10 & 13 & 4 + 11 & 9.7 + 18.2 \\ 3 + 4 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.3

Addiere $4$ und $11$ .

$[\begin{array}{c} 10 & 13 & 15 & 9.7 + 18.2 \\ 3 + 4 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.4

Addiere $9.7$ und $18.2$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 3 + 4 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.5

Addiere $3$ und $4$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 5 + 1 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.6

Addiere $5$ und $1$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 2 + 11 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.7

Addiere $2$ und $11$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 10.7 + 14.9 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.8

Addiere $10.7$ und $14.9$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 6 + 11 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.9

Addiere $6$ und $11$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 5 + 7 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.10

Addiere $5$ und $7$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 3 + 15 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.11

Addiere $3$ und $15$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 11.9 + 19.4 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.12

Addiere $11.9$ und $19.4$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 1 + 2 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.13

Addiere $1$ und $2$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 4 + 8 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.14

Addiere $4$ und $8$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 5 + 23 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.15

Addiere $5$ und $23$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 7.6 + 12.5 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.16

Addiere $7.6$ und $12.5$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 20.1 \\ 5 + 16 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.17

Addiere $5$ und $16$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 20.1 \\ 21 & 6 + 1 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.18

Addiere $6$ und $1$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 20.1 \\ 21 & 7 & 4 + 5 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.19

Addiere $4$ und $5$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 20.1 \\ 21 & 7 & 9 & 10.4 + 17.1 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 2.20

Addiere $10.4$ und $17.1$ .

$[\begin{array}{c} 10 & 13 & 15 & 27.9 \\ 7 & 6 & 13 & 25.6 \\ 17 & 12 & 18 & 31.3 \\ 3 & 12 & 28 & 20.1 \\ 21 & 7 & 9 & 27.5 \end{array}] + [\begin{array}{c} 8 & 6 & 18 & 17.9 \\ 7 & 1 & 14 & 16.5 \\ 6 & 3 & 21 & 18.2 \\ 1 & 7 & 17 & 10.8 \\ 8 & 2 & 18 & 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 3

Addiere die entsprechenden Elemente.

$[\begin{array}{c} 10 + 8 & 13 + 6 & 15 + 18 & 27.9 + 17.9 \\ 7 + 7 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4

Vereinfache jedes Element.

Tippen, um mehr Schritte zu sehen ...

Schritt 4.1

Addiere $10$ und $8$ .

$[\begin{array}{c} 18 & 13 + 6 & 15 + 18 & 27.9 + 17.9 \\ 7 + 7 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.2

Addiere $13$ und $6$ .

$[\begin{array}{c} 18 & 19 & 15 + 18 & 27.9 + 17.9 \\ 7 + 7 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.3

Addiere $15$ und $18$ .

$[\begin{array}{c} 18 & 19 & 33 & 27.9 + 17.9 \\ 7 + 7 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.4

Addiere $27.9$ und $17.9$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 7 + 7 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.5

Addiere $7$ und $7$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 6 + 1 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.6

Addiere $6$ und $1$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 13 + 14 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.7

Addiere $13$ und $14$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 25.6 + 16.5 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.8

Addiere $25.6$ und $16.5$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 17 + 6 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.9

Addiere $17$ und $6$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 12 + 3 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.10

Addiere $12$ und $3$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 18 + 21 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.11

Addiere $18$ und $21$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 31.3 + 18.2 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.12

Addiere $31.3$ und $18.2$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 3 + 1 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.13

Addiere $3$ und $1$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 12 + 7 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.14

Addiere $12$ und $7$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 28 + 17 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.15

Addiere $28$ und $17$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 20.1 + 10.8 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.16

Addiere $20.1$ und $10.8$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 30.9 \\ 21 + 8 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.17

Addiere $21$ und $8$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 30.9 \\ 29 & 7 + 2 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.18

Addiere $7$ und $2$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 30.9 \\ 29 & 9 & 9 + 18 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.19

Addiere $9$ und $18$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 30.9 \\ 29 & 9 & 27 & 27.5 + 17.1 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 4.20

Addiere $27.5$ und $17.1$ .

$[\begin{array}{c} 18 & 19 & 33 & 45.8 \\ 14 & 7 & 27 & 42.1 \\ 23 & 15 & 39 & 49.5 \\ 4 & 19 & 45 & 30.9 \\ 29 & 9 & 27 & 44.6 \end{array}] + [\begin{array}{c} 7 & 5 & 10 & 15 \\ 0 & 0 & 0 & 0 \\ 6 & 5 & 13 & 15.9 \\ 1 & 3 & 12 & 10.9 \\ 8 & 4 & 5 & 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 5

Addiere die entsprechenden Elemente.

$[\begin{array}{c} 18 + 7 & 19 + 5 & 33 + 10 & 45.8 + 15 \\ 14 + 0 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6

Vereinfache jedes Element.

Tippen, um mehr Schritte zu sehen ...

Schritt 6.1

Addiere $18$ und $7$ .

$[\begin{array}{c} 25 & 19 + 5 & 33 + 10 & 45.8 + 15 \\ 14 + 0 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.2

Addiere $19$ und $5$ .

$[\begin{array}{c} 25 & 24 & 33 + 10 & 45.8 + 15 \\ 14 + 0 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.3

Addiere $33$ und $10$ .

$[\begin{array}{c} 25 & 24 & 43 & 45.8 + 15 \\ 14 + 0 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.4

Addiere $45.8$ und $15$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 + 0 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.5

Addiere $14$ und $0$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 + 0 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.6

Addiere $7$ und $0$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 + 0 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.7

Addiere $27$ und $0$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 + 0 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.8

Addiere $42.1$ und $0$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 23 + 6 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.9

Addiere $23$ und $6$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 15 + 5 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.10

Addiere $15$ und $5$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 39 + 13 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.11

Addiere $39$ und $13$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 49.5 + 15.9 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.12

Addiere $49.5$ und $15.9$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 4 + 1 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.13

Addiere $4$ und $1$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 19 + 3 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.14

Addiere $19$ und $3$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 45 + 12 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.15

Addiere $45$ und $12$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 30.9 + 10.9 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.16

Addiere $30.9$ und $10.9$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 41.8 \\ 29 + 8 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.17

Addiere $29$ und $8$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 41.8 \\ 37 & 9 + 4 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.18

Addiere $9$ und $4$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 41.8 \\ 37 & 13 & 27 + 5 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.19

Addiere $27$ und $5$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 41.8 \\ 37 & 13 & 32 & 44.6 + 13.9 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 6.20

Addiere $44.6$ und $13.9$ .

$[\begin{array}{c} 25 & 24 & 43 & 60.8 \\ 14 & 7 & 27 & 42.1 \\ 29 & 20 & 52 & 65.4 \\ 5 & 22 & 57 & 41.8 \\ 37 & 13 & 32 & 58.5 \end{array}] + [\begin{array}{c} 4 & 4 & 9 & 12.4 \\ 3 & 1 & 9 & 12 \\ 9 & 5 & 9 & 13.2 \\ 1 & 4 & 14 & 8.9 \\ 12 & 2 & 4 & 13.7 \end{array}]$

Schritt 7

Addiere die entsprechenden Elemente.

$[\begin{array}{c} 25 + 4 & 24 + 4 & 43 + 9 & 60.8 + 12.4 \\ 14 + 3 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8

Vereinfache jedes Element.

Tippen, um mehr Schritte zu sehen ...

Schritt 8.1

Addiere $25$ und $4$ .

$[\begin{array}{c} 29 & 24 + 4 & 43 + 9 & 60.8 + 12.4 \\ 14 + 3 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.2

Addiere $24$ und $4$ .

$[\begin{array}{c} 29 & 28 & 43 + 9 & 60.8 + 12.4 \\ 14 + 3 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.3

Addiere $43$ und $9$ .

$[\begin{array}{c} 29 & 28 & 52 & 60.8 + 12.4 \\ 14 + 3 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.4

Addiere $60.8$ und $12.4$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 14 + 3 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.5

Addiere $14$ und $3$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 7 + 1 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.6

Addiere $7$ und $1$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 27 + 9 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.7

Addiere $27$ und $9$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 42.1 + 12 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.8

Addiere $42.1$ und $12$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 29 + 9 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.9

Addiere $29$ und $9$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 20 + 5 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.10

Addiere $20$ und $5$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 52 + 9 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.11

Addiere $52$ und $9$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 65.4 + 13.2 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.12

Addiere $65.4$ und $13.2$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 5 + 1 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.13

Addiere $5$ und $1$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 22 + 4 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.14

Addiere $22$ und $4$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 57 + 14 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.15

Addiere $57$ und $14$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 41.8 + 8.9 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.16

Addiere $41.8$ und $8.9$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 50.7 \\ 37 + 12 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.17

Addiere $37$ und $12$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 50.7 \\ 49 & 13 + 2 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.18

Addiere $13$ und $2$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 50.7 \\ 49 & 15 & 32 + 4 & 58.5 + 13.7 \end{array}]$

Schritt 8.19

Addiere $32$ und $4$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 50.7 \\ 49 & 15 & 36 & 58.5 + 13.7 \end{array}]$

Schritt 8.20

Addiere $58.5$ und $13.7$ .

$[\begin{array}{c} 29 & 28 & 52 & 73.2 \\ 17 & 8 & 36 & 54.1 \\ 38 & 25 & 61 & 78.6 \\ 6 & 26 & 71 & 50.7 \\ 49 & 15 & 36 & 72.2 \end{array}]$