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Activity Discussion Math Class – 8 : Rational Numbers Reply To: Class – 8 : Rational Numbers

• ### Govind

Member
June 24, 2023 at 5:13 pm
1

The properties of rational numbers are as follows:

Commutativity: The commutative property states that the order of the numbers does not affect the result of addition or multiplication. For addition: a + b = b + a For multiplication: a × b = b × a
Associativity: The associative property states that the grouping of numbers does not affect the result of addition or multiplication. For addition: (a + b) + c = a + (b + c) For multiplication: (a × b) × c = a × (b × c)
Distributive: The distributive property states that multiplication can be distributed over addition. For multiplication and addition: a × (b + c) = a × b + a × c.<div>

Now, let’s check the commutativity property for a = ½ and b = ¾:

a × b = ½ × ¾ = 3/8

b × a = ¾ × ½ = 3/8

As we can see, a × b and b × a both yield the same result of 3/8. Therefore, the commutativity property holds for these values.

Similarly, let’s check the commutativity property for addition:

a + b = ½ + ¾ = 5/4

b + a = ¾ + ½ = 5/4

Once again, a + b and b + a both result in 5/4, confirming that the commutativity property holds for these values.

Thus, both the commutativity property and the commutative property hold for a = ½ and b = ¾.

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