Concept explainers
To make:
A 3 by 3 magic square that uses different set of consecutive integers.
Answer to Problem 4PSP
Our required 3 by 3 magic square would look like:
17 | 10 | 15 |
12 | 14 | 16 |
13 | 18 | 11 |
Explanation of Solution
Given:
A 3 by 3 magic square contains 9 consecutive integers arranged so that the of the numbers in each row, column, or diagonal is same. Below is 3 by 3 magic square that uses the integers 1 through 9.
Calculation:
We will use consecutive integers from 10 to 18. Our required 3 by 3 magic square would look like:
17 | 10 | 15 |
12 | 14 | 16 |
13 | 18 | 11 |
Now we will check sum of each row, column and diagonal as:
Sum of row:
Sum of columns:
Sum of diagonal:
Since sum of each row, column and diagonal is 42, therefore, our 3 by 3 magic square meets all the conditions.
Chapter 8 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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