## Divide real numbers

**Divide real numbers**

** **

The result of dividing one number by another is called the **quotient. **For example, when 45 is divided by 3, the quotient is 15. To define division of real numbers, we first write the quotient

of 45 and 3 as , which equals 15. The same answer will be obtained if

45 and are multiplied, as follows.

This suggests the following definition of division of real numbers.

**Division**

For all real numbers *a *and *b *(where b ≠ 0),

In words, multiply the first number by the reciprocal of the second

** Like signs :-**The quotient of two nonzero real numbers with the

*same*sign is positive.

** Unlike signs :-**The quotient of two nonzero real numbers with

*different*signs is negative.