Rational Numbers

What is rational ?

Find ten rational numbers between and.

Write five rational numbers greater than - 2.

Find five rational numbers between

(i) 

(ii) 

(iii) 

Find ten rational numbers between and.

Write five rational numbers which are smaller than 2.

Represent on the number line.

Represent these numbers on the number line.

(i)  (ii) 

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 __________.

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.

Is the multiplicative inverse of? Why or why not?

Tell what property allows you to compute.

Multiply by the reciprocal of.

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

(i) 

(ii) 

(iii) 

Find the multiplicative inverse of the following.

(i)  (ii)  (iii) 

(iv)  (v)  (vi) - 1

Verify that - ( - x) = x for.

(i)  (ii) 

Write the additive inverse of each of the following:

(i)  (ii)  (iii)  (iv)  (v) 

Using appropriate properties find:

(i) 

(ii)