4. Verify the closure property of addition for the following pair of rational numbers
3
(a) and
8
5
(6)
-5
-3
and
7 14
5
-7
F
-3
=
10
-
a =
36
11
5. Verify that a + b = b + a for each of the following:
4
-9
(a)
(b) a =
b
5
11
6. Check that a-b7b-a for each of the following:
-7
2
(b) a =
15
9'
-1
3
- 2
(ay
a =
b
5
3
2
-4
If a = and b
13
=
5
then verify that (-a)+(-b) =- (a + b).
8. Verify the associative property of addition for the following rational numbers:
7 -4 2
(b)
15' 53
-1 2 5
(a)
2 37 6
12 / 2
2
1
9. If a = b=
and c =
then check that (a - b) - c#a-(b-c).
7 21
3
4 -2
10. Find the sum of the additive inverses of
and
9 3
12 2 2
Answers
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Answer:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
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