Which of the following is an example

Question:

Which of the following is an example of distributive property of multiplication over addition for rational numbers.

(a) $-(1 / 4) \times\{(2 / 3)+(-4 / 7)\}=[-(1 / 4) \times(2 / 3)]+[(-1 / 4) \times(-4 / 7)]$

(b) $-(1 / 4) \times\{(2 / 3)+(-4 / 7)\}=[(1 / 4) \times(2 / 3)]-(-4 / 7)$

(c) $-(1 / 4) \times\{(2 / 3)+(-4 / 7)\}=(2 / 3)+(-1 / 4) \times(-4 / 7)$

(d) $-(1 / 4) \times\{(2 / 3)+(-4 / 7)\}=\{(2 / 3)+(-4 / 7)\}-(1 / 4)$

 

Solution:

(a) $-(1 / 4) \times\{(2 / 3)+(-4 / 7)\}=[-(1 / 4) \times(2 / 3)]+[(-1 / 4) \times(-4 / 7)]$

Because, we know the rule of distributive law, i.e. $a \times(b+c)]=[(a \times b)+(a \times c)$

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