If a property hold for rational numbers, will it also hold for integers? Explain in details.

Rational Numbers Integers

Closure

Addition

Subtraction

Multiplication

Division

Commutative

Associative

Distributive

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Q. (i) Which rational number is its own additive inverse?
(ii) Is the difference of two rational numbers a rational number?
(iii) Is addition commutative on rational numbers?
(iv) Is addition associative on rational numbers?
(v) Is subtraction commutative on rational numbers?
(vi) Is subtraction associative on rational numbers?
(vii) What is the negative of a negative rational number?

Question 8
One(1) is:
(a) the identity for addition of rational numbers.
(b) the identity for subtraction of rational numbers.
(c) the identity for multiplication of rational numbers.
(d) the identity for division of rational numbers.

If a property holds for rational numbers, will it also hold for whole numbers? Explain in details.

	Rational Numbers	Integers
Closure
Addition
Subtraction
Multiplication
Division
Commutative
Associative
Distributive

Which of the following properties holds for rational numbers and integers, but not for whole numbers?

A. Closure for addition
B. Closure for subtraction
C. Closure for multiplication
D. Closure for division

Q. what is the multiplicative property that holds for rational number not for integers?

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If a property hold for rational numbers, will it also hold for integers? Explain in details. Rational Numbers Integers Closure Addition Subtraction Multiplication Division Commutative Associative Distributive

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If a property hold for rational numbers, will it also hold for integers? Explain in details.

Rational Numbers Integers

Closure

Addition

Subtraction

Multiplication

Division

Commutative

Associative

Distributive