Question

Match the following: (i) Commutative property (a) (14 + 8 ) + 90 = 14 + (8 + 90) (ii) Associative property (b) 67 x 1 = 67 (iii) Distributive property (c) a + b = b + a (iv) Multiplicative identity (d) a x (b + c) = a x b + a x c

Answer 1

Answer:

(i)commutative property =>  (c) a + b = b + a

(ii)Associative property  =>  (a) (14 + 8) + 90 = 14 + (8 + 90)

(iii)Distributive property => (d) a * (b + c) = a*b +a*c

(iv)Multiplicative identity => 67*1 = 67

Step-by-step explanation:

(i)Commutive property states that the numbers added or Multiplied in any order will give you the same answer so in the case

a + b =  b + a

the answer is same

example:- 2+3 = 3+2 => 5 = 5

(ii)Associative property states that addition or multiplication in any order gives the same answer

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

example:- 2+(3+4) = (2+3)+4 => 2+(7) = (5)+4 => 9 = 9

(iii)Distributive property is used to break down the equation into a simple equation

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

example:- 2+(3*4) = (2*3) + (2*4) => 2 + (12) = (6) + (8)  => 14  = 14

(iv)The multiplicative identity is 1

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