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Multiplication is simply a shortcut for repeated addition of the same number.

For example, 4 x 2 is the same as 2 + 2 + 2 + 2(two added to itself, four times).

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Q: How are the identity properties of multiplication and addition similar?
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What is ringtheory?

In mathematics, ring theory is the study of rings, algebraic structures in which addition and multiplication are defined and have similar properties to those familiar from the integers.


How are the properties of multiplication and addition similar?

Mainly that in both cases, the numbers can be changed, in any order. This is related to the commucative property, as well as the associative property, which apply to both. - Also, in both cases there is a neutral element (0 for addition, 1 for multiplication).


What is the difference between the zero property of multiplication and the identity property of addition?

Usually, the identity of addition property is defined to be an axiom (which only specifies the existence of zero, not uniqueness), and the zero property of multiplication is a consequence of existence of zero, existence of an additive inverse, distributivity of multiplication over addition and associativity of addition. Proof of 0 * a = 0: 0 * a = (0 + 0) * a [additive identity] 0 * a = 0 * a + 0 * a [distributivity of multiplication over addition] 0 * a + (-(0 * a)) = (0 * a + 0 * a) + (-(0 * a)) [existence of additive inverse] 0 = (0 * a + 0 * a) + (-(0 * a)) [property of additive inverses] 0 = 0 * a + (0 * a + (-(0 * a))) [associativity of addition] 0 = 0 * a + 0 [property of additive inverses] 0 = 0 * a [additive identity] A similar proof works for a * 0 = 0 (with the other distributive law if commutativity of multiplication is not assumed).


What is tropical math?

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.


How is the relationship of addition and subtraction similar to the relationship of multiplication and division?

Provided the domains are defined in an appropriate manner, subtraction is the inverse operation of addition while division is the inverse operation of multiplication.


How is the relationship of addition and subtraction similar to the the relationship of multiplication and division?

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How are the relationships of addition and subtraction similar to he relationship of multiplacation and division?

Multiplication is successive Addition Division is successive subtraction


What does associative property mean math?

It means that in an addition such as: a + b + c it doesn't matter whether you do the addition on the left, or the addition on the right, first. Similar for multiplication.


When simplifying an expression you perform which operations inside grouping symbols first?

Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.Within parentheses or similar symbols, the same rules apply as when you don't have parentheses. For example, multiplication and division have a higher priority (or precedence) than addition and subtraction.


Could there be an identity matrix for matrix addition similar to the additive identity for the set of real numbers?

i dont even flucking know


How is multiplication and addition similar?

Multiplication is simply 'complex addition'. Take, for example, the sum 6x7. If you add 7+7+7+7+7+7 you get 42 - which is the same result of multiplying 6x7 3x4 is the same as 3+3+3+3 etc.


Why do multiplication signs and addition sign go together?

The simple answer is that they are two of the basic algebraic functions (along with exponentiation). Division and subtraction are just the opposites of these so are different. Multiplication and addition are also similar because repeated addition is the same as multiplication (and repeated multiplication is exponentiation). The full answer is part of what is known as Algebraic Fields and shows how these functions relate to each other and to different systems of number. basically he said cuz they both increase the original value while division and subtraction decrease it