The first two options are identical, so we will evaluate them together as one statement.
True, coefficients follow the operations and exponents follow exponent rules when you are multiplying or dividing.
This statement is correct. When multiplying or dividing numbers in scientific notation, you can multiply or divide the coefficients separately, and then you add or subtract the exponents for the base 10.
False, you must always have the same exponent on the base 10 for all operations in Scientific Notation.
This statement is false. You do not need to have the same exponent for addition or subtraction; you only need to make the exponents the same before performing those operations (which is not the case for multiplication and division).
True, when multiplying and dividing you can just multiply the coefficients and multiply the exponents.
This statement is partially misleading. When multiplying, you multiply the coefficients and add the exponents, and when dividing, you divide the coefficients and subtract the exponents. So, while it's correct that you can handle the coefficients and exponents separately, the operations on the exponents are not simply multiplication.
False, you cannot multiply or divide numbers in Scientific notation without having the same coefficients.
This statement is false. You can multiply or divide numbers in scientific notation regardless of whether their coefficients are the same or different. The important point is to handle the coefficients and exponents according to the rules of multiplication and division.
In summary, the most accurate answers relate to the rules for handling coefficients and exponents during operations, primarily focusing on the notion that for multiplication and division you treat coefficients and exponents according to their respective arithmetic rules. The first two options encompassing that idea are accurate.
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