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Would a higher range of floats be more accurate to multiply / divide / add / subtract, than a lower range.
For example, would 567.56 / 345.54 be more accurate than .00097854 / .00021297 ?
The answer to your question is “no.” Floating point numbers are (usually*) represented with a normalized mantissa and an exponent. Multiplication and division operate first on the normalized mantissa, then on the exponents.
Addition and subtraction are, of course, another story. Operations like your examples:
work fine. But operations with disparate orders of magnitude like
may lose some low-order precision.