Final answer:
The statement is false; spaces around binary arithmetic operators are not mandatory for code to work but are encouraged for readability. It is essential, however, that expressions on each side of an equation have consistent dimensions.
Step-by-step explanation:
The question 'True or False: You must have a space on both sides of a binary arithmetic operator or it will not work' pertains to syntax in programming, which falls under Computers and Technology. The statement is False. In many programming languages, whitespace around binary arithmetic operators is not strictly required for the code to work. The operators such as +, -, *, and /, will function correctly without spaces as long as the syntax is otherwise correct. However, it is often considered good practice to include spaces for readability and maintainability of the code.
While spaces are not mandatory, ensuring that expressions on each side of an equation have the same dimensions is crucial. This means that you cannot meaningfully combine or compare quantities of different types, like adding lengths to times without the appropriate conversion. Consistency in dimensions ensures that mathematical operations are logically correct.