Math Problem Statement
Fill in the missing values in the addition table based on the provided numbers in the top row and the leftmost column.
Solution
This table appears to be an addition table, where the top row and the leftmost column provide the numbers to be added. The values inside the table represent the sum of the corresponding row and column values.
Let's complete the table step by step:
- In the top row, the values are 31 and 41.
- In the leftmost column, the values are 54, 26, and 19.
- Each cell in the table represents the sum of the corresponding top row number and the left column number.
Let's calculate the missing values:
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Top-left empty cell (54 + 31):
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Below "85", the missing cell (54 + 41):
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Moving to the next row, the first empty cell (26 + 31):
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Next, the empty cell in the same row (26 + 41):
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In the bottom row, the first missing value (19 + 31):
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Finally, the last missing value (19 + 41):
Now, here is the completed table:
+ & 31 & 41 \\ \hline 54 & 85 & 95 \\ 26 & 57 & 67 \\ 19 & 50 & 60 \\ \end{array}$$ Let me know if you'd like more details or have any other questions! --- Here are 5 related questions: 1. How would the table change if we multiplied the values instead of adding them? 2. What is the relationship between row and column sums in an addition table? 3. Can you create a similar table using different values, such as multiples of 10? 4. How would you extend this table to include more rows and columns? 5. What are the properties of an addition table in terms of commutativity and symmetry? **Tip:** When working with addition tables, always check for patterns in the row and column sums to help with mental math.Ask a new question for Free
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Math Problem Analysis
Mathematical Concepts
Addition
Arithmetic
Tables
Formulas
Sum = Top Row Value + Left Column Value
Theorems
Commutative Property of Addition
Suitable Grade Level
Grades 1-3