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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.
Are the rules for multiplying and dividing signed integers different or the same?
The rules are not the same.Multiplication is commutative whereas division is not.Multiplication is associative whereas division is not.
Why does the quotient and product of two nonzero integers have the same sign?
Those are the rules of multiplication (and division).
What are the rules to multiply and divide integers?
When multiplying or dividing integers, the following rules apply: If both integers have the same sign (both positive or both negative), the result is positive. If the integers have different signs (one positive and one negative), the result is negative. For example, (3 \times 4 = 12) and (-3 \times -4 = 12) yield positive results, while (3 \times -4 = -12) and (-3 \times 4 = -12) yield negative results. These rules apply equally to division.
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.
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.
How are the rules for multiplication and division of integers the same?
They are not the same. You can multiply by zero but division by zero is not defined.
Are the rules for multiplying and dividing signed integers different or the same?
The rules are not the same.Multiplication is commutative whereas division is not.Multiplication is associative whereas division is not.
Why does the quotient and product of two nonzero integers have the same sign?
Those are the rules of multiplication (and division).
What are the rules to multiply and divide integers?
When multiplying or dividing integers, the following rules apply: If both integers have the same sign (both positive or both negative), the result is positive. If the integers have different signs (one positive and one negative), the result is negative. For example, (3 \times 4 = 12) and (-3 \times -4 = 12) yield positive results, while (3 \times -4 = -12) and (-3 \times 4 = -12) yield negative results. These rules apply equally to division.
Are positive integers closed under division?
No, they are not.
What are the rules for dividing rational numbers are the same as the rules for dividing integers?
The rules are the same.
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.
Are all integers closed under division?
No, integers are not closed under division. When you divide one integer by another, the result is not always an integer; for example, dividing 1 by 2 yields 0.5, which is not an integer. Therefore, the set of integers is not closed under the operation of division.
What are the five integer rules?
I am not at all sure that there are any rules that apply to integers in isolation. Any rules that exist are in the context of binary operations like addition or multiplication of integers.
Rules in subtracting like and unlike sign?
to subtrct integers ,rewrite as adding opposites and use the rules for addtion of integers..
How are the sign rules of simplifying expression with rational numbers similar to the sign rules for simplifying expression with integers?
The sign rules for simplifying expressions with rational numbers are similar to those for integers in that they both follow the same basic principles: a positive times a positive is positive, a negative times a negative is positive, and a positive times a negative is negative. This consistency ensures that the operations on rational numbers maintain the same logical structure as those on integers. Consequently, when performing operations like addition, subtraction, multiplication, or division, the sign of the result can be determined using the same rules regardless of whether the numbers involved are rational or integers.
