Using appropriate properties, find:

(i) -2/3 * 3/5 + 5/2 – 3/5 * 1/6                 

(ii) 2/5 * (3/-7) – 1/6 * 3/2 + 1/14 * 2/5

Write the additive inverse of each of the following:

(i) 2/8              

(ii) -5/9          

(iii) -6/-5         

(iv) 2/-9              

(v) 19/-6

Verify that -(-x) = x for:

(i) x = 11/15                                          

(ii) x = -13/17

Find the multiplicative inverse of the following:

(i) -13    

(ii) -13/19     

(iii) 1/5     

(iv) (-5/8)*(-3/7)       

(v) -1 * (-2/5)       

(vi) -1

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

(i) -4/5 * 1 = 1 * -4/5

(ii) -13/17 * -2/7 = -2/7 * -13/17

(iii) -19/29 * 29/-19 = 1

Multiply 6/13 by the reciprocal of -7/16.

Tell what property allows you to compute 1/3 * (6 * 4/3) as (1/3 * 6) * 4/3.

Is 8/9 the multiplicative inverse of -118? Why or why not?

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

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.

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 1/x where x ≠ 0 is _______________.

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

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

Represent these numbers on the number line:

(i)   

(ii)

Represent  , ,   on the number line.

Write five rational numbers which are smaller than 2.

Find ten rational numbers between   and  .

Find five rational numbers between:

(i)  and           

(ii)  and                 

(iii)  and

Write 5 rational numbers greater than -2.

Find ten rational numbers between  and .