Question

For the rational numbers a, b and c, which of the following is true?

• A. a $\times$ (b + c) = (a $\times$ b) + (a $\times$ c)
• B. a $\times$ (b + c) = (a $\times$ b) - (a $\times$ c)
• C. a $\times$ (b + c) = (a + b)$\times$(a + c) = 1
• D. a $\times$ (b + c) = (a + b)$\times$(a + c)

Answer 1

The correct option is A

a $\times$ (b + c) = (a $\times$ b) + (a $\times$ c)

Distributive property for three numbers a, b and c is given by,

a$\times$(b + c) = (a $\times$ b) + (a $\times$ c)

The distributivity is applicable even for rational numbers. It involves sum of the product of two rational numbers.