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When adding and subtracting numbers in Scientific Notation, the powers of the base 10 must be the same exponent so that you have "like terms".

When multiplying and dividing numbers in Scientific Notation, you do not have to have the same power of the base 10. You can simply follow the exponent rules for multiplying and dividing with the like base 10
options:

True, coefficients follow the operations and exponents follow exponent rules when you are multiplying or dividing.
True, coefficients follow the operations and exponents follow exponent rules when you are multiplying or dividing.

False, you must always have the same exponent on the base 10 for all operations in Scientific Notation.
False, you must always have the same exponent on the base 10 for all operations in Scientific Notation.

True, when multiplying and dividing you can just multiply the coefficients and multiply the exponents.
True, when multiplying and dividing you can just multiply the coefficients and multiply the exponents.

False, you cannot multiply or divide numbers in Scientific notation without having the same coefficients.

Answer 1

The correct statements regarding operations in Scientific Notation are:

1. True, coefficients follow the operations and exponents follow exponent rules when you are multiplying or dividing. - This is true as when you multiply or divide numbers in scientific notation, you multiply or divide the coefficients and simply add or subtract the exponents.

2. True, when multiplying and dividing you can just multiply the coefficients and multiply the exponents. - This is also true as the multiplication of exponents uses the rule \( a^m \cdot a^n = a^{m+n} \) and for division, it uses \( a^m / a^n = a^{m-n} \).

The following statements are false:

• False, you must always have the same exponent on the base 10 for all operations in Scientific Notation. - This is false for multiplication and division, but true for addition and subtraction.

• False, you cannot multiply or divide numbers in Scientific notation without having the same coefficients. - This is false; you do not need the same coefficients to multiply or divide in scientific notation.

Therefore, the true statements about multiplying and dividing in scientific notation are the first two.