**Question 1**

Using appropriate properties find:

(i)

(ii)

**Question 2**

Name the property under multiplication used in each of the following:

(i)

(ii)

(iii)

**Question 3**

Tell what property allows you to compute.

**Question 4**

Name the property under multiplication used in each of the following:

(i)

(ii)

(iii)

**Question 5**

Using appropriate properties find:

(i)

(ii)

**Question 6**

Write the additive inverse of each of the following:

(i) (ii) (iii) (iv) (v)

**Question 7**

Verify that −(−*x*) = *x* for.

(i) (ii)

**Question 8**

Find the multiplicative inverse of the following.

(i) (ii) (iii)

(iv) (v) (vi) −1

**Question 9**

Name the property under multiplication used in each of the following:

(i)

(ii)

(iii)

**Question 10**

Multiply by the reciprocal of.

**Question 11**

Is the multiplicative inverse of? Why or why not?

**Question 12**

Is 0.3 the multiplicative inverse of? Why or why not?

**Question 13**

Write:

(i) The rational number that does not have a reciprocal.

(ii) The rational numbers that are equal to their reciprocals.

(iii) The rational number that is equal to its negative.

**Question 14**

Fill in the blanks.

(i) Zero has __________ reciprocal.

(ii) The numbers __________ and __________ are their own reciprocals

(iii) The reciprocal of − 5 is __________.

(iv) Reciprocal of, where is __________.

(v) The product of two rational numbers is always a __________.

(vi) The reciprocal of a positive rational number is __________.

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