Final answer:
The expression (-6.5) is already simplified as a standalone number. Equivalent expressions include -13/2 and 6.5 * -1, which both result in the value -6.5 due to the rules of division and multiplication regarding signs.
Step-by-step explanation:
The expression (-6.5) is already simplified as it represents a single numerical value, a negative decimal number. In mathematics, simplified means breaking down a complex expression into a simpler or more basic form, and in the case of (-6.5), there are no further operations to carry out; it is a standalone number. However, we can write expressions that are equivalent to this number by performing operations that don't change its value.
Two expressions equivalent to (-6.5) could be:
The reason these expressions are equivalent is based on the mathematical rules for division and multiplication. When a number is divided by another, it follows the rules of division for the sign (positive divided by positive remains positive, and negative divided by positive becomes negative). Similarly, when numbers are multiplied, the product reflects the multiplication rules regarding signs (positive times negative results in a negative product).