define addition and multiplication modulo give two examples of each
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Addition modulo. ... When a and b are two integers such that a–b is divisible by a fixed positive integer m, then we have a≡b(modm). This is read as a is concurrent to b (modm). Thus,a≡b(modm) if and only if a–b is divisible by m.
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Addition (usually signified by the plus symbol "+") is one of the four basic operations of arithmetic; the others are subtraction, multiplication and division. The addition of two whole numbers is the total amount of those values combined.
Example: 5 + 11 + 3 = 19 is an addition. Drag the numbers to the two blue boxes see how addition works: Drag the numerals to the blue boxes.
In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus. The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae, published in 1801
example, 2*3 mod 5 = 1. This means that 2 and 3 are also multiplicative inverses of one another mod 5. Division itself is not something that is defined.
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