How can I convert a rational number into a decimal?

Converting a rational number into a decimal is a straightforward process. A rational number is any number that can be expressed as the quotient or fraction p/q, where p is the numerator and q is the denominator, with q not equal to zero.

Here are the steps to convert a rational number to a decimal:

  1. Identify the Rational Number: Begin with a rational number, such as 3/4 or -5/2.
  2. Divide the Numerator by the Denominator: Use long division or a calculator to divide the numerator by the denominator. For example, for 3/4, you divide 3 by 4 which equals 0.75.
  3. Interpret the Result: If the division results in a terminating decimal, you will have a finite number of digits after the decimal point. For instance, 3/4 gives you 0.75. If you have a repeating decimal, like 1/3, which equals approximately 0.333…, you can write it as 0.3̅ (with a bar over the 3 to indicate it repeats).
  4. Double Check Your Work: To ensure accuracy, you can multiply the decimal result by the denominator to see if you arrive back at the original numerator. For example, 0.75 x 4 = 3 confirms that the conversion is correct.

In summary, converting a rational number to decimal form involves simple division. Always remember that the result can either be terminating or repeating, and verifying your result helps solidify your understanding!

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