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The set of integers, Z, is
Closed: if x and y are in Z then so is x ~ y, where ~ stands for either addition or multiplication.
Commutative: For all x, y in Z, x ~ y = y ~ x
Transitive: For all w, x, y in Z, (w ~ x) ~ y = w ~ (x ~ y)
Identity: Z contains a unique identity element, i, with the property that x ~ i = x for all x in Z. The additive identity is 0, the multiplicative identity is 1.
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What property links multiplication and addition?
The set of integers is closed with respect to multiplication and with respect to addition.
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 is the distributive property of addition over multiplication for integers?
Addition is not distrbutive over multiplication. In general,a + (b*c) ≠(a+b)*(a+c) [unless a+b+c = 1]
Can you reverse the order of integers when subtracting and still get the same answer why?
No because the commutative property only works for addition and multiplication
What does Distributive Property Integer mean in math?
It means nothing, really. The distributive property is a property of multiplication over addition or subtraction. It has little, if anything, to do with integers.
