Final Answer:
The monomial -8ab(-2.5)b² in standard form is 20.0ab³.
Step-by-step explanation:
In standard form a monomial involves multiplying numerical coefficients and combining like terms with the same variables. The given monomial -8ab(-2.5)b² can be simplified by multiplying the coefficients and combining the variable terms.
The product of -8, -2.5 and b² results in 20.0ab³. This is achieved by multiplying the numerical values (-8 and -2.5) which yields 20.0 and combining the variable terms a and b with the same bases.
The alphabetical order of variables in standard form enhances clarity and consistency aiding in efficient expression manipulation. In this instance the variables a and b are already arranged appropriately.
Thus the final expression 20.0ab³ is in standard form providing a concise and standardized representation of the original monomial.Understanding the rules for standard form ensures proper expression representation in algebra.
Multiplying coefficients and organizing variables alphabetically are fundamental processes in achieving standard form contributing to mathematical precision and ease of communication.