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Which of the following is an example of distributive property of multiplication over addition for rational numbers
(a) -1/4 × {2/3 + (-4/7)} = [-1/4 × 2/3] + [-1/4 × (-4/7)]
(b) -1/4 × {2/3 + (-4/7)} = [1/4 × 2/3] - (-4/7)
(c) -1/4 × {2/3 + (-4/7)} = 2/3 + (-1/4) × -4/7
(d) -1/4 × {2/3 + (-4/7)} = {2/3 + (-4/7)} - 1/4

Solution:

The distributive property states that any expression with three numbers A, B, and C, given in form A (B + C) then it is resolved as A × (B + C) = AB + AC or A (B - C) = AB - AC.

Here, we need distributive property over addition, hence we use

A × (B + C) = AB + AC

Among the options, -1/4 × {2/3 + (-4/7)} = [-1/4 × 2/3] + [-1/4 × (-4/7)]

✦ Try This: Which of the following is an example of distributive property of multiplication over addition for rational numbers

(a) -1/3 × {2/3 + (-4/5)} = [-1/3 × 2/3] + [-1/3 × (-4/5)]

(b) -1/3 × {2/3 + (-4/5)} = [1/3 × 2/3] - (-4/5)

(c) -1/3 × {2/3 + (-4/5)} = 2/3 + (-1/3) × -4/5

(d) -1/3 × {2/3 + (-4/5)} = {2/3 + (-4/5)} - 1/3

The distributive property states that any expression with three numbers A, B, and C, given in form A (B + C) then it is resolved as A × (B + C) = AB + AC or A (B - C) = AB - AC.

Here, we need distributive property over addition, hence we use

A × (B + C) = AB + AC

Among the options, -1/3 × {2/3 + (-4/5)} = [-1/3 × 2/3] + [-1/3 × (-4/5)]

☛ Also Check: NCERT Solutions for Class 8 Maths Chapter 1

NCERT Exemplar Class 8 Maths Chapter 1 Problem 22

Which of the following is an example of distributive property of multiplication over addition for rational numbers (a) -1/4 × {2/3 + (-4/7)} = [-1/4 × 2/3] + [-1/4 × (-4/7)], (b) -1/4 × {2/3 + (-4/7)} = [1/4 × 2/3] - (-4/7), (c) -1/4 × {2/3 + (-4/7)} = 2/3 + (-1/4) × -4/7, (d) -1/4 × {2/3 + (-4/7)} = {2/3 + (-4/7)} - 1/4

Summary:

-1/4 × {2/3 + (-4/7)} = [-1/4 × 2/3] + [-1/4 × (-4/7)] is an example of distributive property of multiplication over addition for rational numbers

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