Question

15. Verify the distributive property of multiplication over addition for a=-2/3,b=4/-5,c=-7/2​

Answer 1

Answer:

43/15

Step-by-step explanation:

Distributive property of multiplication over addition: a*(b+c)=(a*b)+(a*c)

So, -2/3*(-4/5+-7/2)=(-2/3*-4/5)+(-2/3*-7/2)

=-2/3*(-8-35/10)=(8/15)+(7/3)

=-2/3*-43/10=8/15+7/3

=43/15=43/15

Answer 2

QUESTION:

Verify the distributive property of multiplication over addition for a=-2/3,b=4/-5,c=-7/2

ANSWER:

DISTRIBUTIVE PROPERTY FORMULA

• a * ( b + c ) = ( a * b ) + ( a * c )

GIVEN:

• a=-2/3 , b=4/-5 , c=-7/2

SOLUTION:

$\\ \\ \\ \\ \\ \\ \frac{ - 2}{ \: 3} ( \frac{ - 4}{ \: 5} + ( \frac{ - 7}{ \: 2} )) = ( \frac{ - 2}{ \: 3} \times \frac{4}{ - 5} ) + ( \frac{ - 2}{3} \times \frac{ - 7}{2} ) \\ \\ \\ \\ \frac{ - 2}{3} ( \frac{ - 4(2) - 7(5)}{10} ) = \frac{8}{15} + \frac{7}{3} \\ \\ \\ \\ \frac{ - 2}{3}( \frac{ - 8 - 35}{10} ) = \frac{8(3) + 7(15)}{45} \\ \\ \\ \\ \frac{86}{30} = \frac{129}{45} \\ \\ \\ \\ \frac{43}{15} = \frac{43}{15} \: \: \: \: (lhs = rhs) \\ \\ \\ \\ \\ proved \:$