Q: What are the main properties of modular arithmetic?

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The Main Idea of The Devil's Arithmetic is a girl named Hannah finds out that her imagination can take over.

They are sets with a finite number of elements. For example the days of the week, or the 12 months of the year. Modular arithmetic is based on finite sets.

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the branch of mathematics dealing with the properties and manipulation of numbers: the use of numbers in counting and calculation

There is no character named Leye in "The Devil's Arithmetic" by Jane Yolen. The main characters in the book are Hannah, Grandma Belle, Gitl, Aunt Eva, and Shmuel.

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According to Wikipedia, Carl Friedrich Gauss invented it. Quote Wikipedia,"Modular arithmetic was introduced by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae, published in 1801."

In ordinary arithmetic, the resulting value will be from an infinite set of values but in case modular arithmetic, resulting value will be from a finite set of values.Open in Google Docs ViewerOpen link in new tabOpen link in new windowOpen link in new incognito windowDownload fileCopy link addressEdit PDF File on PDFescape.come.g. in ordinary arithmetic, the sum of two integers, the result will be an integer in the range {..., -3, -2, -1, 0, 1, 2, 3, ...}for modular arithmetic, the sum of two integerslike (a+b)mod n will be in the range {0, 1, 2, ... n-1}

Yes, because that is how remainder is defined. If the remainder was bigger, you would subtract one (or more) modular values until the remainder became smaller than the modulus.

There are two main types of modular homes. These are classified as mobile homes and manufactured homes.

It is impossible to make 23 from four 9's unless modular arithmetic is involved, in this case in mod 40, 57, 58, 59, 76, 697, 6538. I personally can't see any other way to obtain 23 other than modular arithmetic.

There are many purposes of modular workstations. The main purpose of modular workstations are to improve employee productivity by giving them an individual workstation separate from distrations.

Tropical math is a kind of arithmetic and algebra in which addition of two number is their minimum and multiplication is their sum. This has some properties similar to ordinary arithmetic and algebra but other properties are different.

93 + 68 + 7 is an arithmetic expression. In itself, it has no properties.

The Main Idea of The Devil's Arithmetic is a girl named Hannah finds out that her imagination can take over.

They are sets with a finite number of elements. For example the days of the week, or the 12 months of the year. Modular arithmetic is based on finite sets.

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