Math and Arithmetic
Algebra
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# Is there a closure property of subtraction that applies to whole numbers Explain?

Top Answer
###### Answered 2013-09-05 20:20:26

Yes there is.

Closure means that if x and y are any two whole numbers then x - y must be a whole number.

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## Related Questions

### Is a set of rational numbers a group under subtraction?

Yes it has closure, identity, inverse, and an associative property.

### Is closure property for division.?

No. Closure is the property of a set with respect to an operation. You cannot have closure without a defined set and you cannot have closure without a defined operation.

### Is the set of integers closed under subtraction?

yes, because an integer is a positive or negative, rational, whole number. when you subject integers, you still get a positive or negative, rational, whole number, which means that under the closure property of real numbers, the set of integers is closed under subtraction.

### Definition of closure in dbms?

In Relational algebra allows expressions to be nested, just as in arithmetic. This property is called closure.

### Why 0 is included in whole number set?

To give the set closure with respect to subtraction, or to give it an additive identity.

### What contexts allows negative numbers?

Closure of the set of numbers under subtraction or, equivalently, the existence of additive inverses.

### What is closure property?

its when a mathamatical persistince is also whennyou d the oppsite of the equation

### Closure property of addition in brief?

The closure property of addition says that if you add together any two numbers from a set, you will get another number from the same set. If the sum is not a number in the set, then the set is not closed under addition.

### What are the properties of mathematical system to be a commutative group?

Closure, an identity element, inverse elements, associative property, commutative property

### Why is a even number minus an even number even?

Suppose x and y are even numbers. Then x = 2m and y = 2n for some integers m and n.x - y = 2m - 2n = 2(m - n) [distributive property of multiplication over addition/subtraction] = 2k where k is an integer [closure of integers over addition/subtraction] Thus x - y is an even integer.

### What is a example of Closure property of addition?

closure property is the sum or product of any two real numbers is also a real numbers.EXAMPLE,4 + 3 = 7 The sum is real number6 + 8 = 14add me in facebook.. lynnethurbina@yahoo.com =]

### What is Closure Property for multiplication?

The closure property is an attribute of a set with respect to a binary operation, not only a binary operation. A set S is closed with respect to multiplication if, for any two elements, x and y, belonging to S, x*y also belongs to S.

### What binary operations have closure?

Closure depends on the set as much as it depends on the operation.For example, subtraction is closed for all integers but not for natural numbers. Division by a non-zero number is closed for the rational numbers but not integers.The set {1, 2, 3} is not closed under addition.

### What is downward closure property?

Every subset of a frequent itemset is also frequent. Also known as Apriori Property or Downward Closure Property, this rule essentially says that we don't need to find the count of an itemset, if all its subsets are not frequent. This is made possible because of the anti-monotone property of support measure - the support for an itemset never exceeds the support for its subsets. Stay tuned for this.

### How a kaleen closure is different from positive closure?

The main difference between Kaleen closure and positive closure is; the positive closure does not contains the null, but Kaleen closure can contain the null.

### How do you get closure?

In mathematics, closure is a property of a set, S, with a binary operator, ~, defined on its elements.If x and y are any elements of S then closure of S, with respect to ~ implies that x ~ y is an element of S.The set of integers, for example, is closed with respect to multiplication but it is not closed with respect to division.

### What property represents a rational number added to a rational number gives a rational number answer?

The relevant property is the closure of the set of rational numbers under the operation of addition.

### Is the set of irrational numbers closed under subtraction?

No; here's a counterexample to show that the set of irrational numbers is NOT closed under subtraction: pi - pi = 0. pi is an irrational number. If you subtract it from itself, you get zero, which is a rational number. Closure would require that the difference(answer) be an irrational number as well, which it isn't. Therefore the set of irrational numbers is NOT closed under subtraction.

### How is the additive inverse important?

It gives closure to the set of real numbers with regard to the binary operation of addition. This makes the set a ring. The additive inverse is used, sometimes implicitly, in subtraction.

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