Question

Verify the following
(a)Closure property for multiplication and addition if a= 25 and b = 78.
(b)Associative property for multiplication and addition if a = 13,b = 17 and c= 40
(c)Distributive property of multiplication over addition if a = 63. b= 92 and c= 46
(d)Commutative property for multiplication and addition if a = 700 and b = 999​

Answer 1

Step-by-step explanation:

(a) Closure property for addition states that the sum of any two integers a and b will also be an integer : a + b = 25 + 78 = 103, which is an integer.

Closure property for multiplication states that the product of any two integers a and b will also be an integer : ab = 25*78 = 1950, which is an integer.

(b) Associative property for multiplication states that if there are any three integers a, b and c then, (a * b) * c = a * (b * c) :

(13*17)*40 = 221*40 = 8840

13*(17*40) = 13*680 = 8840, so both are equal.

Associative property for addition states that if there are any three integers a, b and c then, (a + b) + c = a + (b + c) :

(13 + 17) + 40 = 30 + 40 = 70

13 + (17 + 40) = 13 + 57 = 70, so both are equal.

(c) Distributive property of multiplication over addition states that if there are integers a,b and c then a(b + c) = ab + ac :

63 * (92 + 46) = 63 * 138 = 8694 = 63 * 92 + 63*46

(d) Commutative property for multiplication states that a*b = b*a

700*999 = 699300 = 999*700

Commutative property for addition states that a + b = b + a

700 + 999 = 1699 = 999 + 700

Answer 2

Step-by-step explanation:

answer is in attachment

all answer are correct

please rate my answer

I have tried a lot to find answer