Questions: Write the calculator answer in the correct mathematical form of scientific notation. Indicate if the answer is large or small. 8.3100045 E-13 Note that scientific notation consists of two factors connected with the symbol × for multiplication. Determine the first factor and the second factor in scientific notation. Choose the correct answer below. A. The first factor is a number n, with 1 ≤n<10, and the second factor is e raised to a power. B. The first factor is a number n, with 0 ≤n<10, and the second factor is e raised to a power. C. The first factor is a number n, with 0 ≤n<10, and the second factor is 10 raised to a power. D. The first factor is a number n, with 1 ≤n<10, and the second factor is 10 raised to a power.

Write the calculator answer in the correct mathematical form of scientific notation. Indicate if the answer is large or small.

8.3100045 E-13

Note that scientific notation consists of two factors connected with the symbol × for multiplication. Determine the first factor and the second factor in scientific notation. Choose the correct answer below.
A. The first factor is a number n, with 1 ≤n<10, and the second factor is e raised to a power.
B. The first factor is a number n, with 0 ≤n<10, and the second factor is e raised to a power.
C. The first factor is a number n, with 0 ≤n<10, and the second factor is 10 raised to a power.
D. The first factor is a number n, with 1 ≤n<10, and the second factor is 10 raised to a power.

Transcript text: Write the calculator answer in the correct mathematical form of scientific notation. Indicate if the answer is f the large or small. \[ 8.3100045 \mathrm{E}-13 \] Note that scientific notation consists of two factors connected with the symbol $\times$ for multiplication. Determine the first factor and the second factor in scientific notation. Choose the correct answer below. A. The first factor is a number $n$, with $1 \leq|n|<10$, and the second factor is $e$ raised to a power. B. The first factor is a number n , with $0 \leq|\mathrm{n}|<10$, and the second factor is $e$ raised to a power. C. The first factor is a number n , with $0 \leq|\mathrm{n}|<10$, and the second factor is 10 raised to a power. D. The first factor is a number n , with $1 \leq|\mathrm{n}|<10$, and the second factor is 10 raised to a power;

Solution

Solution Steps

To express the given number in scientific notation, we need to identify the first factor as a number $ n $ such that $ 1 \leq |n| < 10 $, and the second factor as 10 raised to a power. The given number $ 8.3100045 \times 10^{-13} $ is already in scientific notation, where the first factor is $ 8.3100045 $ and the second factor is $ 10^{-13} $. Therefore, the correct choice is the one that matches this format.

Step 1: Identify the Scientific Notation

The given number is $ 8.3100045 \mathrm{E}-13 $. In scientific notation, this can be expressed as $ 8.3100045 \times 10^{-13} $.

Step 2: Determine the First Factor

The first factor $ n $ in the scientific notation must satisfy the condition $ 1 \leq |n| < 10 $. Here, the first factor is $ 8.3100045 $, which meets this criterion.

Step 3: Determine the Second Factor

The second factor is the power of ten, which in this case is $ 10^{-13} $. This indicates that the number is very small.

Step 4: Classify the Size of the Number

Since the exponent of ten is negative ($ -13 $), we classify the number as small.