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It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.
For example, the set of real numbers is NOT closed under division - you can't divide by zero.
The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.
It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.
For example, the set of real numbers is NOT closed under division - you can't divide by zero.
The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.
It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.
For example, the set of real numbers is NOT closed under division - you can't divide by zero.
The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.
It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.
For example, the set of real numbers is NOT closed under division - you can't divide by zero.
The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.
It means that dividing any number in the set by any other number in the set is valid, and that the result is again a member of the set.
For example, the set of real numbers is NOT closed under division - you can't divide by zero.
The set of real numbers, excluding zero, IS closed under division. Similarly, the set of rational numbers excluding zero is also closed under division.
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Why is the set of positive whole numbers closed under subtraction?
The set of positive whole numbers is not closed under subtraction! In order for a set of numbers to be closed under some operation would mean that if you take any two elements of that set and use the operation the resulting "answer" would also be in the original set.26 is a positive whole number.40 is a positive whole number.However 26-40 = -14 which is clearly not a positive whole number. So positive whole numbers are not closed under subtraction.
What does it mean for a polynomial to be closed under addition subtraction and multiplication?
It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.
What does it mean to say that integers are closed under addition?
Any time you add integers, the sum will be another integer.
What is a maths quotient mean?
division
The mean of eight numbers is 41. The mean of two numbers is 29. What is the mean of the other six numbers?
45
What is the set of whole numbers closed by?
If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.
True or False The set of whole numbers is closed under subtraction Why?
False. The set of whole numbers is not closed under subtraction. Closure under subtraction means that when you subtract two whole numbers, the result is also a whole number. However, this is not always the case with whole numbers. For example, subtracting 5 from 3 results in -2, which is not a whole number.
What does closed under division mean?
When you will divide any element in the set by another element in the set the result will be an answer that is also included in the set.
What do you mean by 'whole number are closed under addition'?
The sum of any two whole numbers is a whole number.
Why is the set of positive whole numbers closed under subtraction?
The set of positive whole numbers is not closed under subtraction! In order for a set of numbers to be closed under some operation would mean that if you take any two elements of that set and use the operation the resulting "answer" would also be in the original set.26 is a positive whole number.40 is a positive whole number.However 26-40 = -14 which is clearly not a positive whole number. So positive whole numbers are not closed under subtraction.
Are the sums and products of whole numbers always whole numbers?
Yes, the whole numbers are closed with respect to addition and multiplication (but not division).The term "whole numbers" is not always consistently defined, but is usually taken to mean either the positive integers or the non-negative integers (the positive integers and zero). In either of these cases, it also isn't closed with respect to subtraction. Some authors treat it as a synonym for "integers", in which case it is closed with respect to subtraction (but still not with respect to division).
What does this mean Which set of these numbers is closed under subtraction?
It means whatever members of the set you subtract, the answer will still be a member of the set. For example, the set of positive integers is not closed under subtraction, since 3 - 8 = -5
What are the properties of number?
Different sets of numbers have different properties. For example,The set of counting numbers is closed under addition but not under subtraction.The set of integers is closed under addition, subtraction and multiplication but not under division.Rational numbers are closed under all four basic operations of arithmetic, but not for square roots.A set S is "closed" with respect to operation # if whenever x and y are any two elements of S, then x#y is also in S. y = 0 is excluded for division.So, the answer depends on what you mean by "number".
What does division sentence mean?
a division sentence means sentence with numbers with division but don't wright a sentence
What does compatible numbers in division mean?
I have no IDEA?!?!?! Probably your just DUMB
What does it mean for a polynomial to be closed under addition subtraction and multiplication?
It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.
What does the idiom went under mean?
Went under is used to mean they have failed, as in drowning. A business that went under is one that has closed or gone bankrupt.
