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Which of the basic rules of arithmetic are true when you restrict the number system to the positive integers?
Closure with respect to addition and multiplication. Cummutative, Associative properties of addition and of multiplication. Distributive property of multiplication over addition.
What signs go with only the associative property?
The answer cannot be addition of numbers because that sign can also go with the commutative property, not "only the associative property" as required by the question. For the same reason, the answer cannot be multiplication of numbers. Also, in both cases, multiplication is distributive over addition.
What is the distributive property for multiplication?
The distributive property of multiplication over addition states that a*(b + c) = a*b + a*c
What combines multiplication and addition by multiplying each addend by the number and adding the products?
The distributive property of multiplication over addition.
What property involves multiplying a sum by a number?
The distributive property of multiplication over addition.
What is the distributive property for addition?
Addition, by itself, does not have a distributive property. Multiplication has a distributive property over addition, according to which: a*(b + c) = a*b + a*c
What does distributive property mean in addition?
Addition, by itself, does not have a distributive property. Multiplication has a distributive property over addition, according to which: a*(b + c) = a*b + a*c
What is a distributive property of multiplication?
The distributive property of multiplication OVER addition (or subtraction) states that a*(b + c) = a*b + a*c Thus, multiplication can be "distributed" over the numbers that are inside the brackets.
What is the name of the property that is used to say that 2(5 plus 3) is the same as 2 x 5 plus 2 x 3?
This is the distributive property of multiplication over addition.
What is additive property of multiplication over addition?
It is a property that does not exist!It is a property that does not exist!It is a property that does not exist!It is a property that does not exist!
When solving equations how do you justify your steps?
You should state the property used, such as distributive property of multiplication over addition or addition property of equality, etc.
What is three properties of addition?
There are two properties of addition. The COMMUTATIVE property states that the order in which the addition is carried out does not matter. In symbolic terms, a + b = b + a The ASSOCIATIVE property states that the order in which the operation is carried out does not matter. Symbolically, (a + b) + c = a + (b + c) and so, without ambiguity, either can be written as a + b + c. That is IT. No more! The DISTRIBUTIVE property is a property of multiplication over addition (OR subtraction), not a property of addition. The existence of of an IDENTITY and an ADDITIVE INVERSE are properties of the set over which addition is defined; again not a property of addition. For example, you can define addition on all positive integers which will have the commutative and associative properties but the identity (zero) and additive inverses (negative numbers) are undefined as far as the set is concerned.
