1 No.
2 No.
3 Yes.
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.
The answer depends on which binary operation you mean when you say "combining". Addition, subtraction, multiplication, division, exponentiation, etc.
Addition, subtraction and multiplication.
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).
The inverse operation of division of integers is multiplication. When you divide one integer by another, you can reverse that operation by multiplying the quotient by the divisor to retrieve the original dividend. For example, if you divide 12 by 3 to get 4, you can multiply 4 by 3 to get back to 12.
Parenthesis Exponent Multiplication Division Addition Subtraction PEMDAS ( the multiplication and division is based on which of them comes FIRST )
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.
The answer depends on which binary operation you mean when you say "combining". Addition, subtraction, multiplication, division, exponentiation, etc.
When you do your homework at home.
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.
Addition, subtraction and multiplication.
Arithmetic (watch the spelling) refers to the basic math taught in primary school: addition, subtraction, multiplication and division of integers, fractions, and decimals.
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).
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).
Whole numbers subtraction: YesDivision integers: No.
The inverse operation of division of integers is multiplication. When you divide one integer by another, you can reverse that operation by multiplying the quotient by the divisor to retrieve the original dividend. For example, if you divide 12 by 3 to get 4, you can multiply 4 by 3 to get back to 12.
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.