Write the missing numbers in this multiplication grid.
\begin{tabular}{|c|c|c|}
\cline { 2 - 3 } \multicolumn{1}{c|}{$x$} & 6 & -5 \\
\hline 8 & 48 & -40 \\
\hline-4 & & 20 \\
\hline
\end{tabular}
Answer (2)
The problem requires completing a multiplication grid.
Multiply -4 by 6 to find the missing number.
− 4 × 6 = − 24
The missing number is − 24 .
Explanation
Understanding the Problem We are given a multiplication grid with some missing numbers. Our goal is to fill in the missing numbers by performing the multiplication operations.
Identifying the Missing Number The grid is as follows:
x
6
-5
8
48
-40
-4
?
20
We need to find the value of the entry in the second row and first column.
Calculating the Missing Number To find the missing number, we multiply the corresponding row and column headers. In this case, we multiply -4 by 6: − 4 × 6 = − 24
Final Answer Therefore, the missing number in the grid is -24. The corrected grid is:
x
6
-5
8
48
-40
-4
-24
20
Examples
Multiplication grids are useful in everyday life for calculating areas, volumes, and proportions. For example, if you're tiling a floor and need to calculate the number of tiles required, you can use a multiplication grid to quickly determine the area covered by different numbers of tiles. Similarly, in cooking, you can use a multiplication grid to scale recipes up or down based on the number of servings you need. Understanding multiplication grids helps in organizing and solving practical problems efficiently.
The missing number in the multiplication grid is -24, found by multiplying -4 by 6. The completed grid is as follows: | x | 6 | -5 | |---|---|---| | 8 | 48 | -40 | | -4 | -24 | 20 |.
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