Let's solve the problem step-by-step by examining the grid and calculating the sum of all the integers present in it.
Here's the given grid:
[tex]\[
\begin{array}{|c|c|c|c|}
\hline
& & & 1 \\
\hline
& 11 & & 14 \\
\hline
3 & 10 & & \\
\hline
& 5 & 9 & 4 \\
\hline
\end{array}
\][/tex]
We need to add up all the numbers in this 4x4 grid. Let's go row by row:
1. First row: [tex]\(0, 0, 0, 1\)[/tex]
- Sum: [tex]\(0 + 0 + 0 + 1 = 1\)[/tex]
2. Second row: [tex]\(0, 11, 0, 14\)[/tex]
- Sum: [tex]\(0 + 11 + 0 + 14 = 25\)[/tex]
3. Third row: [tex]\(3, 10, 0, 0\)[/tex]
- Sum: [tex]\(3 + 10 + 0 + 0 = 13\)[/tex]
4. Fourth row: [tex]\(0, 5, 9, 4\)[/tex]
- Sum: [tex]\(0 + 5 + 9 + 4 = 18\)[/tex]
Now, let's add up the sums of each row:
[tex]\[
1 + 25 + 13 + 18
\][/tex]
Adding them step-by-step:
1. [tex]\(1 + 25 = 26\)[/tex]
2. [tex]\(26 + 13 = 39\)[/tex]
3. [tex]\(39 + 18 = 57\)[/tex]
Thus, the total sum of all integers in the grid is [tex]\(57\)[/tex].
