verify associative property of addition and multiplication if a=-5/2 ; b= -7/4 ; c=1/3
Answers
Answer:
" verify associative property of addition and multiplication if a=-5/2; b= -7/4; c=1/3" Has Been Verified
Step-by-step explanation:
Associative Law (or Property) In Addition Is : (a + b) + c = a + (b + c)
First find the value of (a + b) + c
= ( 5/2 + 7/4) + 1/3 [ LCM of 4 and 2 is 4]
= ( 10/4 + 7/4) + 1/3
= 17/4 + 1/3 [ LCM of 3 and 4 is 12]
= 51/12 + 4/12
= 55/12
Now find the value of a + (b + c)
= 5/2 + ( 7/4 + 1/3) [ LCM of 4 and 3 is 12]
= 15/2 + ( 21/12 + 4/12 )
= 5/2 + 25/12 [ LCM of 2 and 12 is 12]
= 30/12 + 25/12
= 55/12
∴ ( 5/2 + 7/4) + 1/3 = 5/2 + ( 7/4 + 1/3)
(a + b) + c = a + (b + c)
55/12 = 55/12
Associative Law (or Property) In Multiplication Is : (a x b) x c = a x (b x c)
First find the value of (a x b) x c
= ( 5/2 x 7/4) x 1/3
= 35/8 x 1/3
= 35/24
Now find the value of a x (b x c)
= 5/2 x (7/4 x 1/3)
= 5/2 x 7/12
= 35/24
∴ ( 5/2 x 7/4) x 1/3 = 5/2 x ( 7/4 x 1/3)
(a x b) + c = a x (b x c)
35/24 = 35/24
∴ The property of Asssociative Law (or Property) in Addition and Multiplication has been verified.
P.S: Associative Property is also called as Associative Law.
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