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Higher Order Thinking Mr. Deets is making an array to display 9 pictures. For each pair of different factors, there are two arrays he can make. How many different arrays can Mr. Deets make? Is the number of arrays odd or even? Explain.

Ask by Klein Parry. in the United States
Jan 22,2025

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Mr. Deets can make 3 different arrays to display the 9 pictures. The number of arrays is odd.

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Mr. Deets can create arrays based on the factors of 9. The pairs of different factors of 9 are (1, 9) and (3, 3). For (1, 9), he can arrange the pictures in 1 row of 9 columns or 9 rows of 1 column, creating 2 different arrays. Since the pair (3, 3) is the same in both arrangements, it counts as 1 unique array. Thus, Mr. Deets can make a total of 2 + 1 = 3 different arrays. Since 3 is odd, the final result is indeed an odd number! When exploring arrays, remember that an array's dimensions (rows and columns) can yield fascinating patterns, especially with different numbers. For a number like 9, it’s interesting to note that while 3 x 3 forms a perfect square, it may limit creativity compared to arranging those 9 pictures in different configurations—like a gallery walk of sorts!

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