MHB What is an Integral Multiple of 4?

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An integral multiple of 4 refers to any number that can be expressed as 4 multiplied by an integer. The term "integral" is often considered redundant, as it simply indicates that the multiple is derived from an integer. Positive integer multiples of 4 include numbers like 4, 8, 12, and so on, while negative multiples include -4, -8, -12, etc. Additionally, zero is also classified as an integer multiple of 4 since it can be represented as 4 times zero. Understanding this concept is essential for various mathematical applications.
cbarker1
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Dear Every One,

I have a question:

What does an integral multiple of 4 means?Thanks

Cbarker1
 
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Hi Cbarker1,
It's just 4 multiplied by an integer. We might as well ignore the word 'integral' since it is redundant.
 
"An integer multiple of 4" or, as I Like Serena suggested, simply "a multiple of 4" is 4n where n is any integer. The positive "integer multiples of 4" are 4, 8, 12, 16, 20, etc. The negative "integer multiples of 4" are -4, -8, -12, -16, -20, etc. Although it is neither positive nor negative, we can consider 0 an "integer multiple of 4". It is 0= 4(0) and 0 is an integer.
 

Thread 'Area of Overlapping Squares'

Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?
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