Questions: Return Next 12 1 point Select the response that is true about a positive number written in scientific notation. A positive number is written in scientific notation when the first factor is greater than or equal'to 1 and less than 10 and the second factor is 10 to an integer power. A positive number is written in scientific notation when the first factor is 10 to an integer power and the second factor is greater than or equal to 1 and less than 10. A positive number is written in scientific notation when the first factor is 10 to an integer power and the second factor is greater than 0 and less than 1. A positive number is written in scientific notation when the first factor is greater than 0 and less than 1 and the second factor is 10 to an integer power. Clear my selection Previous Next

Solution Steps

To determine the correct statement about scientific notation, we need to understand the format: a positive number is written as \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer. This means the first factor should be between 1 and 10, and the second factor is 10 raised to an integer power.

A positive number in scientific notation is expressed as \( a \times 10^n \), where \( a \) is the coefficient and \( n \) is an integer. The coefficient \( a \) must satisfy the condition \( 1 \leq a < 10 \).

We need to evaluate the provided statements to identify which one correctly describes the scientific notation format:

1. Statement A: \( a \) is greater than or equal to \( 1 \) and less than \( 10 \), and the second factor is \( 10 \) to an integer power.
2. Statement B: \( a \) is \( 10 \) to an integer power, and the second factor is greater than or equal to \( 1 \) and less than \( 10 \).
3. Statement C: \( a \) is \( 10 \) to an integer power, and the second factor is greater than \( 0 \) and less than \( 1 \).
4. Statement D: \( a \) is greater than \( 0 \) and less than \( 1 \), and the second factor is \( 10 \) to an integer power.

Upon evaluating the statements, only Statement A correctly describes the scientific notation format, as it adheres to the requirement that \( 1 \leq a < 10 \) and that the second factor is \( 10^n \) where \( n \) is an integer.

Final Answer