Question

ADDITIONAL PROBLEMS
3. Simplify:
(1) 100 (100 - 3) - (100 100 - 3): (ui) (20 - (2011-201)) + (2011- (201-20))
4. Suppose m is an integer such that m# -1 and m -2. Which is
larger" or "" ? State your reasons.
m+ 1 m 2
5. Define an operation on the set of all rational numbers as follows:
T* - + - (
T S )
for any two rational numbers rs. Answer the following with justifi-
cation:
Is closed under the operation ?
(ii) is * an associative operation on ?
(iii) Is * a commutative operation on ?
What is a * 1 for any a in ?
(vi) Find two integers a = 0 and b 0 such that a*b =0.
6. Find the multiplicative inverses of the following rational numbers:
8 12 26 - 13 - 101
13 17 23 11 100
7 Write the following in increasing order:
10 20 $ 40 25 10
13:23 6 43° 28'11
8. Write the following in decreasing order:
21 31 13 41 51 9
17'27'11 37 478
9. (a) What is the additive inverse of 07
(b) What is the multiplicative inverse of 1?
(c) Which integers have multiplicative inverses?
10. In the set of all rational numbers, give 2 examples each illustrating
the following properties:
(1) associativity (li) commutativity (m) distributivity of multiplication
over addition
$plese \: send \: answer$
​

Answer 1

Answer:

8 ka ans 9 13 21 31 41 51

11 17 27 37 478