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Which set is closed under the given operation 1 integers under division 2 negative integers under subtraction 3 odd integers under multiplication?
Wiki User
∙ 10y ago
1 No.
2 No.
3 Yes.
Wiki User
∙ 10y ago
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What are the fundamental operations of integers?
I am not sure there are any fundamental operations of integers. The fundamental operations of arithmetic are addition, subtraction, multiplication and division. However, the set of integers is not closed with respect to division: that is, the division of one integer by another does not necessarily result in an integer.
What is the integer rule for combining integers with different signs?
The answer depends on which binary operation you mean when you say "combining". Addition, subtraction, multiplication, division, exponentiation, etc.
What operations are closed for integers?
Addition, subtraction and multiplication.
Why integers need an extension?
In the first stage, the set of all integers needs an extension - to the set of rational numbers - to get closure for division (which is the inverse operation to multiplication).
How are the rules for multiplication and division integers the same?
They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.
What is the fundamental operation of integers?
Parenthesis Exponent Multiplication Division Addition Subtraction PEMDAS ( the multiplication and division is based on which of them comes FIRST )
What are the fundamental operations of integers?
I am not sure there are any fundamental operations of integers. The fundamental operations of arithmetic are addition, subtraction, multiplication and division. However, the set of integers is not closed with respect to division: that is, the division of one integer by another does not necessarily result in an integer.
What is the integer rule for combining integers with different signs?
The answer depends on which binary operation you mean when you say "combining". Addition, subtraction, multiplication, division, exponentiation, etc.
How could you use addition subtraction division and multiplication of integers outside the classroom?
When you do your homework at home.
Can division be expressed as repeated subtraction?
Yes, at least for integers: You see how often you can subtract a quantity. But I guess it is more useful to think of division as the inverse of multiplication.
What operations are closed for integers?
Addition, subtraction and multiplication.
What is arthmetic?
Arithmetic (watch the spelling) refers to the basic math taught in primary school: addition, subtraction, multiplication and division of integers, fractions, and decimals.
Why integers need extension?
In the first stage, the set of all integers needs an extension - to the set of rational numbers - to get closure for division (which is the inverse operation to multiplication).
Why integers need an extension?
In the first stage, the set of all integers needs an extension - to the set of rational numbers - to get closure for division (which is the inverse operation to multiplication).
Is closure exist for whole numbers under subtraction and division for integers?
Whole numbers subtraction: YesDivision integers: No.
How are the rules for multiplication and division integers the same?
They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.
What are the numbers in division mutliplication addition subtraction?
You can have counting number in multiplication and addition. All integers are in multiplication, addition and subtraction. All rational numbers are in all four. Real numbers, complex numbers and other larger sets are consistent with the four operations.
