What decimal is equivalent to negative 3 1/8
The Correct Answer and Explanation is :
To convert (-3 \frac{1}{8}) to a decimal, start by changing the mixed number into an improper fraction and then into a decimal. Here’s how:
- Convert the Mixed Number to an Improper Fraction:
- Multiply the whole number (3) by the denominator (8): (3 \times 8 = 24).
- Add the numerator (1) to get (24 + 1 = 25).
- So, (-3 \frac{1}{8}) becomes (-\frac{25}{8}).
- Convert the Improper Fraction to a Decimal:
- Divide 25 by 8 to get the decimal form:
[
25 \div 8 = 3.125
] - Since it’s negative, the answer is (-3.125).
Explanation:
Converting mixed numbers to decimals is a common need in mathematics, especially for clarity in calculations. By converting (-3 \frac{1}{8}) to (-3.125), you’re able to use it in equations or in a format that may be more straightforward to interpret.
Mixed numbers consist of a whole number and a fraction, which can be more challenging to work with directly. Changing a mixed number into a decimal involves understanding the fractional part as a division operation. This is particularly useful in settings like nursing, where precise measurements are necessary. Decimal values provide a direct way to work with quantities, enabling more accuracy, which is vital in healthcare when converting units or medications.
The key takeaway is that converting (-3 \frac{1}{8}) to (-3.125) simplifies the expression into a more practical format without changing its value, allowing it to be easily used in various applications.