Question

WORKOUT 1,1
1. Take any two pairs of two integers and verify the commutative property of addition
for integers.
2. Take two sets of any three integers each and verify the associative property of
addition for integers.
3. Is there any integer which does not have zero as its additive identity?
4. Does every integer have an additive inverse?
5. Is there an integer which is its own additive inverse?
5. Find the additive inverse of
(i) 5
(ii) -99​

Answer 1

Answer:

1. . commucative property mean that order does not matter

so , (-10)+(-5)=-15 which is equal to (-5)+(-10) =-15

we can now say that commucative property is good for addition of intergers

2. associative property mean that grouping does not matter

so, 15+(-10+5)=(15+(-10))+5

10. =10

so we can say that associative property is good for addition of intergers

3. no 0 is the additive identity of all the number because ,zero added to any number is the number itself

4. yes ,all the intergers have it additive inverse in the number line all the interger have it negative intergers so all the interger have it's additive inverse

5. yes 0 is the additive inverse of itself

6i) (-5)

6ii) 99

hope it will help you

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