Linear Algebra Examples

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

Step 1

Add the corresponding elements.

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

Step 2

Simplify each element.

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Step 2.1

Add $11$ and $8$ .

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

Step 2.2

Add $3$ and $1$ .

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

Step 2.3

Add $20$ and $10$ .

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

Step 2.4

Add $18.5$ and $15$ .

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

Step 2.5

Add $14$ and $7$ .

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

Step 2.6

Add $2$ and $2$ .

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

Step 2.7

Add $15$ and $10$ .

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

Step 2.8

Add $23.5$ and $16$ .

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

Step 2.9

Add $6$ and $5$ .

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

Step 2.10

Add $3$ and $2$ .

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

Step 2.11

Add $13$ and $7$ .

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

Step 2.12

Add $16.2$ and $12$ .

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

Step 2.13

Add $0$ and $1$ .

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

Step 2.14

Add $2$ and $2$ .

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

Step 2.15

Add $31$ and $19$ .

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

Step 2.16

Add $13.3$ and $11$ .

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

Step 2.17

Add $5$ and $4$ .

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

Step 2.18

Add $4$ and $2$ .

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

Step 2.19

Add $10$ and $16$ .

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

Step 2.20

Add $15.5$ and $13$ .

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

Step 3

Add the corresponding elements.

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

Step 4

Simplify each element.

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Step 4.1

Add $19$ and $4$ .

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

Step 4.2

Add $4$ and $6$ .

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

Step 4.3

Add $30$ and $11$ .

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

Step 4.4

Add $33.5$ and $13.3$ .

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

Step 4.5

Add $21$ and $12$ .

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

Step 4.6

Add $4$ and $6$ .

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

Step 4.7

Add $25$ and $4$ .

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

Step 4.8

Add $39.5$ and $17.1$ .

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

Step 4.9

Add $11$ and $0$ .

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

Step 4.10

Add $5$ and $0$ .

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

Step 4.11

Add $20$ and $0$ .

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

Step 4.12

Add $28.2$ and $0$ .

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

Step 4.13

Add $1$ and $0$ .

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

Step 4.14

Add $4$ and $8$ .

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

Step 4.15

Add $50$ and $10$ .

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

Step 4.16

Add $24.3$ and $8.4$ .

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

Step 4.17

Add $9$ and $2$ .

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

Step 4.18

Add $6$ and $3$ .

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

Step 4.19

Add $26$ and $7$ .

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

Step 4.20

Add $28.5$ and $12.8$ .

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

Step 5

Add the corresponding elements.

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

Step 6

Simplify each element.

Tap for more steps...

Step 6.1

Add $23$ and $1$ .

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

Step 6.2

Add $10$ and $5$ .

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

Step 6.3

Add $41$ and $5$ .

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

Step 6.4

Add $46.8$ and $12.4$ .

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

Step 6.5

Add $33$ and $8$ .

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

Step 6.6

Add $10$ and $6$ .

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

Step 6.7

Add $29$ and $3$ .

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

Step 6.8

Add $56.6$ and $17.4$ .

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

Step 6.9

Add $11$ and $1$ .

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

Step 6.10

Add $5$ and $8$ .

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

Step 6.11

Add $20$ and $5$ .

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

Step 6.12

Add $28.2$ and $11.7$ .

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

Step 6.13

Add $1$ and $0$ .

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

Step 6.14

Add $12$ and $5$ .

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

Step 6.15

Add $60$ and $8$ .

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

Step 6.16

Add $32.7$ and $9.2$ .

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

Step 6.17

Add $11$ and $1$ .

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

Step 6.18

Add $9$ and $5$ .

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

Step 6.19

Add $33$ and $3$ .

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

Step 6.20

Add $41.3$ and $9.5$ .

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

Step 7

Add the corresponding elements.

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

Step 8

Simplify each element.

Tap for more steps...

Step 8.1

Add $24$ and $8$ .

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

Step 8.2

Add $15$ and $8$ .

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

Step 8.3

Add $46$ and $12$ .

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

Step 8.4

Add $59.2$ and $15$ .

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

Step 8.5

Add $41$ and $4$ .

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

Step 8.6

Add $16$ and $7$ .

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

Step 8.7

Add $32$ and $15$ .

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

Step 8.8

Add $74$ and $12.9$ .

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

Step 8.9

Add $12$ and $5$ .

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

Step 8.10

Add $13$ and $8$ .

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

Step 8.11

Add $25$ and $10$ .

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

Step 8.12

Add $39.9$ and $10.8$ .

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

Step 8.13

Add $1$ and $0$ .

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

Step 8.14

Add $17$ and $7$ .

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

Step 8.15

Add $68$ and $18$ .

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

Step 8.16

Add $41.9$ and $10$ .

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

Step 8.17

Add $12$ and $8$ .

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

Step 8.18

Add $14$ and $7$ .

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

Step 8.19

Add $36$ and $8$ .

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

Step 8.20

Add $50.8$ and $12.6$ .

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