Final answer:
The result of multiplying a large number by a small number is generally a coefficient between 1 and 10 multiplied by a power of 10. The coefficient represents the significant figures of the result, and the power of ten indicates the scale or magnitude.
Step-by-step explanation:
When you multiply a value much larger than 1 with a value much smaller than 1, the result is typically a number that can be expressed as a coefficient between 1 and 10 multiplied by a power of 10. For example, if we multiply 10,000 (a large number) by 0.0001 (a small number), we get 1, which can also be expressed in scientific notation as 1 x 100. If we multiply a larger number with a smaller one, such as 1000 and 0.003, the result is 3, which can be expressed as 3 x 100, or simply 3. This demonstrates that the outcome's coefficient will be between 1 and 10, and the power of 10 represents the number of times the decimal is moved to get a number in this range, which in our examples is zero since the numbers already fall within the 1-10 range.
The correct answer to the question is A) A coefficient between 1 and 10 multiplied by a power of 10. Scientific notation uses a coefficient (a number between 1 and 10) and a power of ten to allow for a convenient expression of the result.