Math Problem Statement
Find the missing number in the figure given below: [84, 18], [79, -9], [54, ?], [66, 0].
Solution
In this puzzle, we are asked to find the missing number in the 3x2 matrix grid.
The grid shows the following numbers:
84 & 18 \\ 79 & -9 \\ 54 & ? \\ 66 & 0 \\ \end{matrix}$$ Let's look for a pattern between the columns: 1. **First row**: $$84 - 18 = 66$$ 2. **Second row**: $$79 - (-9) = 79 + 9 = 88$$ 3. **Third row**: $$54 - ? = 54 - x$$ 4. **Fourth row**: $$66 - 0 = 66$$ It seems that the difference in each row follows a specific pattern. We can deduce that the third row follows the same logic, so we calculate the difference needed to match the expected pattern. From the second and fourth row differences (88 and 66), it seems the missing number should also follow a downward trend. This suggests the missing number should be -12, as: $$54 - (-12) = 66$$ Thus, the missing number is **-12**. Would you like further details or have any questions? Here are five related questions for practice: 1. What are the possible patterns between numbers in other matrix puzzles? 2. How can you identify patterns in matrices involving addition and subtraction? 3. Can such patterns also involve multiplication or division? 4. What happens if a pattern involves a diagonal structure rather than rows or columns? 5. How can complex matrices be simplified into basic arithmetic patterns? **Tip**: When solving number grid puzzles, check for patterns involving differences, sums, or products across rows or columns.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Algebra
Patterns in Matrices
Formulas
Subtraction of corresponding elements in rows
Theorems
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Suitable Grade Level
Grades 6-8