Question

verify the associative and distributive property of integers with respect to multiplication for the values of a, b and c given below table a=(-6,4,-21 ) , b=(7,-9,-12 ) ,c=( -2,-5,5)

Answer 1

Answer:

in the distributive property you have to take a×b+c and on the rhs you have to do a×b+a×c by this you can do it by yourself

all the best mate..☺️

Answer 2

Answer :

Associative property: $(a×b)×c=a×(b×c)$

Distributive property: $A × (B + C) = AB + AC.$

Step-by-step explanation:

The associative belongings states that once including or multiplying, the grouping symbols may be relocated with out affecting the result.

• The components for addition states

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

• and the components for multiplication states

$(a×b)×c=a×(b×c)$

now as our question:

1. a=(-6,4,-21 ) ,
2. b=(7,-9,-12 ) ,
3. c =( -2,-5,5)

Putting it in

Associate property:

(a×b)×c

((-6,4,-21) × (7,-9,-12 ))× ( -2,-5,5)

= (-42,-36,252) × ( -2,-5,5)

= (84, 108, 1260) (LHS)

a×(b×c)

(-6,4,-21) × ((7,-9,-12 )× ( -2,-5,5))

= (-6,4,-21) × ((-14, 45, + 60)

= (84, 108, 1260) (RHS)

(LHS)= (RHS)

(LHS)= (RHS) HENCE ASSOCIATIVE PROPERTY VERIFIED

The distributive belongings The term “distributive belongings” stems from the term “distribute”. Essentially one variety will be “distributed”, or multiplied, with the aid of using every other variety this is damaged up into separate addends.

$A × (B + C) = AB + AC.$

Now as our question:

1. a=(-6,4,-21 ) ,
2. b=(7,-9,-12 ) ,
3. c =( -2,-5,5)

Putting it in

Distributive property:

A × (B + C)

(-6,4,-21) × ((7,-9,-12 )+( -2,-5,5))

= (-6,4,-21) × ( 5, -14, -7)

= (-30, -56, 357) (LHS)

AB × AC.

((-6,4,-21) × (7,-9,-12 ) ) + ( (-6,4,-21) × ( -2,-5,5))

= (-42,-36, 252) + (-12, -20, -115)

= (-30, -56, 357) (LHS)

(LHS)= (RHS)

(LHS)= (RHS) HENCE DISTRIBUTIVE PROPERTY VERIFIED

(#spj2)