Question

. Distributivity of rational numbers: For all rational numbers a, b and c. a(b + c) = ab + ac and a(b - c) = ab - ac​

Answer 1

Answer:

$\huge \mathbb \pink{\underline{ANSW€R}}$

Distributive property of multiplication over addition and subtraction for rational numbers

The distributive property of multiplication is:

Over addition: a(b + c) = ab + ac

-3/4 {2/3 + (-5/6)} = -3/4 {(4+(-5))/6} = (-3/4) x (-1/6) = 3/24 = 1/8

-3/4 {2/3 + (-5/6)} = -3/4 x 2/3 + (-3/4) x (-5/6) = -1/2 + 5/8 = (-4+5)/8 = 1/8

Over subtraction: a(b - c) = ab - ac

-3/4 {2/3 - 5/6} = -3/4 {(4-5)/6} = (-3/4) x (-1/6) = 3/24 = 1/8

-3/4 {2/3 - 5/6} = -3/4 x 2/3 - (-3/4) x 5/6 = -1/2 + 5/8 = (-4+5)/8 = 1/8

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Answer 2

Distributive property of multiplication over addition and subtraction for rational numbers

The distributive property of multiplication is:

Over addition: a(b + c) = ab + ac

-3/4 {2/3 + (-5/6)} = -3/4 {(4+(-5))/6} = (-3/4) x (-1/6) = 3/24 = 1/8

-3/4 {2/3 + (-5/6)} = -3/4 x 2/3 + (-3/4) x (-5/6) = -1/2 + 5/8 = (-4+5)/8 = 1/8

Over subtraction: a(b - c) = ab - ac

-3/4 {2/3 - 5/6} = -3/4 {(4-5)/6} = (-3/4) x (-1/6) = 3/24 = 1/8

-3/4 {2/3 - 5/6} = -3/4 x 2/3 - (-3/4) x 5/6 = -1/2 + 5/8 = (-4+5)/8 = 1/8

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