Final answer:
The standard notation for a distance of 9.302 × 10¹ miles is 93.02 miles. None of the options provided in the question represent the correct standard notation; each is significantly larger than the number in question.
Step-by-step explanation:
The standard notation for a distance of 9.302 × 10¹ miles is the expression rewritten without using the exponent, which means putting the decimal point in the right place to create a whole number. In this case, the exponent 1 indicates that the decimal point should be moved one place to the right, converting 9.302 to 93.02. Therefore, the correct standard notation for this distance is 93.02 miles.
None of the options A) 93,020,000,000 mi, B) 930,200,000,000 mi, C) 9,302,000,000 mi, or D) 93,020,000,000,000 mi represent the correct standard notation. They all represent numbers that are substantially larger, due to much higher exponents, than the number we are asked to convert from scientific notation.
Scientific notation is useful for expressing very large or small numbers succinctly, and when converting it to standard notation, one must take care to move the decimal point the correct number of places as indicated by the exponent. This is to ensure the accuracy and reasonableness of the answer. The goal is to have a number that follows the form where there is only one non-zero digit to the left of the decimal point.