# Rational Numbers

**Exercise 1**

**1. ** Using appropriate properties find:

**2. **Write the addictive inverse of each of the following:

**3. ** Verify that -(-x) = x for:

**4. ** Find the multiplicative inverse of the following:

**5.**Name the property under multiplication used in each of the following:

**6.** Multiply by the reciprocal of

**7.** Tell what property allows you to compute

**8. ** Is the multiplicative inverse of why or why not?

**9.**Is 0.3 the multiplicative inverse of Why or why not?

**10. ** Write:

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

(ii) The rotational numbers that are equal to their reciprocal.

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

**11. **Fill in the blanks:

(i) Zero has _________ reciprocal.

(ii) The numbers ______ and ______ are their own reciprocal.

(iii) The reciprocal of -5 is ________.

(iv) Reciprocal of where x ≠ 0 is _____.

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

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

**Exercise 2**

**12. **Represent these numbers on the number line:

**13.** Represent on the number line.

**14.** Write five rational numbers which are smaller than 2.

**15.** Find ten rational numbers between

**16. ** Find five rational number between:

**17.** Write 5 rational number greater than -2.