Subtraction is associative for

integers

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whole numbers

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no number system

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rational numbers

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Solution

The correct option is C no number system
3 - (2 - 5) = 6 and (3 - 2) - 5 = - 4.
3 - (2 - 5) $\neq$ (3 - 2) - 5.

So, subtraction is not associative for whole numbers. As subtraction is not associative for whole numbers, it is not associative for integers and rational numbers also.

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Similar questions

Define associativity of addition, subtraction, multiplication and division for whole numbers.

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?

Q. ......... are associative for rational numbers.

Q. ................. are not associative for rational numbers.

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.

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Subtraction is associative for

The correct option is C no number system3 - (2 - 5) = 6 and (3 - 2) - 5 = - 4. 3 - (2 - 5) ≠ (3 - 2) - 5. So, subtraction is not associative for whole numbers. As subtraction is not associative for whole numbers, it is not associative for integers and rational numbers also.

The correct option is C no number system
3 - (2 - 5) = 6 and (3 - 2) - 5 = - 4.
3 - (2 - 5) $\neq$ (3 - 2) - 5.

So, subtraction is not associative for whole numbers. As subtraction is not associative for whole numbers, it is not associative for integers and rational numbers also.