Question

(1) a × b is an integer, for all integers a and b.
(ii) For any two integers a and b, a×b+b × a
(iii) For any three integers a, b and c, (a × b) × c = a (b × c)
(iv) For any three integers a, b and c, a × (b + c) = a × b + a × c
(v) For any integer a, ax 1 = a; 1 is the multiplicative identity for integers.
(vi) For any integer a, a × 0 = 0 × a = 0
3. Find each of the folloin​

Answer 1

what we have to do in this

Answer 2

Answer:

Step by step explanation

(i) Yes a x b is integer for all integers a,b

(ii) a = - 2 , b = 3

-2x3+3x-2

-6+(-6)

-12

(iii) a = 2 , b = 4 , c = 6

(2x4)x-6 = 2(4x-6)

8x(-6) = 2 x (-24)

-48 = -48

(iv) a=4 , b=9 ,c= -7

4x(9+ -7) = 4x9+4x-7

4x2 = 36+(-28)

8 = 8

(v) a x 1 =1 x a = a ,1 is called multiplication identity of integers

Ex: (-5) x 1 = 1 x (-5) = -8 x 1 = 1 x 8 = 8

If we multiply any integer with 1 we will get the same integer again .

SO 1 is the multiplication identity of integers

(vi) 0 x 1 = 0 .

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