Problem 127 - Introductory Algebra for College Students

Question

Explain how to divide real numbers.

Step-by-Step Solution

Answer

To divide real numbers, place the number to be divided (the dividend) and the divisor into a fraction format. Dividing by zero is undefined. If possible, simplify the fraction.

Step 1 - Understand the Division Operation

To divide two real numbers, you'll need to understand the concept of 'dividend', 'divisor', and 'quotient'. The dividend is the number to be divided. The divisor is the number by which the dividend is divided. And the quotient is the result obtained from the division.

Step 2 - Handling Division By Zero

In real numbers, division by zero is undefined. It's not possible to divide any real number by zero.

Step 3 - Division Procedure

To divide two real numbers, simply place the dividend and divisor into a fraction where the dividend becomes the numerator and the divisor becomes the denominator.

Step 4 - Simplify if Possible

Sometimes it may be possible to simplify the quotient. E.g., if we have \(\frac{4}{2}\), we simplify it to \(2\) because \(4÷2 = 2\).