Converting a rational number into a decimal is a straightforward process that involves dividing the numerator by the denominator. Here’s how you can do it:
- Identify the Rational Number: A rational number is defined as a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero. For example, the rational number 3/4 consists of the numerator 3 and the denominator 4.
- Perform the Division: To convert the rational number to a decimal, simply divide the numerator (top number) by the denominator (bottom number). Using our example, you would divide 3 by 4.
- Using Long Division: If you’re doing this by hand, you can set it up like a long division problem. 4 goes into 3 zero times, so you would add a decimal point and a zero to turn it into 30. Then, 4 goes into 30 seven times (4 x 7 = 28), leaving a remainder of 2. Bring down another 0 to make it 20; 4 goes into 20 five times (4 x 5 = 20), leaving no remainder.
- Result: After performing the division, you find that 3/4 equals 0.75 in decimal form.
For rational numbers that result in repeating decimals (like 1/3, which equals 0.333…), you may indicate that the decimal repeats using a bar notation (0.3̅) or simply note that it is a repeating decimal.
In summary, converting a rational number to a decimal involves straightforward division and sometimes a bit of long division. With practice, this process becomes quick and easy!