Find the multiplicative inverses of the following rational numbers.

Suppose m is an integer such m ≠ –1 and m ≠ –2. Which is larger or ? State your reasons.

Define an operation * on the set of all rational numbers □ as follows:

r*s = r + s –(r × s),

for any two rational numbers r, s. Answer the following with justification:

(i) Is ℚ closed under the operation *?

(ii) Is * an associative operation of ℚ ?

(iii) Is * a commutative operation of ℚ?

(iv) What is a * 1 for any a in ℚ?

(v) Find two integers a ≠ 0 and b ≠ 0 such that a * b = 0.

Write the following in increasing order:

Write the following in decreasing order: