Question

. Take any two/three rational numbers and check whether the commutative/associative property of subtraction holds or not.​

Answer 1

commutative property

Subtraction of two rational numbers is not commutative.

If a/b and c/d are any two rational numbers,

then (a/b) - (c/d) ≠ (c/d) - (a/b)

Example :

5/9 - 2/9 = 3/9 = 1/3

2/9 - 5/9 = -3/9 = -1/3

Hence, 5/9 - 2/9 ≠ 2/9 - 5/9

Therefore, Commutative property is not true for subtraction.

Associative Property

Subtraction of rational numbers is not associative.

If a/b, c/d and e/f are any three rational numbers,

then a/b - (c/d - e/f) ≠ (a/b - c/d) - e/f

Example :

2/9 - (4/9 - 1/9) = 2/9 - 3/9 = -1/9

(2/9 - 4/9) - 1/9 = -2/9 - 1/9 = -3/9

Hence, 2/9 - (4/9 - 1/9) ≠ (2/9 - 4/9) - 1/9

Therefore, Associative property is not true for subtraction.

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Answer 2

Answer:

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Step-by-step explanation:

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