Questions: Write the calculator answer in the correct mathematical form of scientific notation. Indicate if the answer is large or small.
7.9900053 E-15
The correct mathematical form of scientific notation is 7.9900 × 10^-15.
(Use the multiplication symbol in the math palette as needed.)
Indicate if the answer is large or small. Choose the correct answer below.
A. The answer is large because the exponent is positive.
B. The answer is large because the exponent is negative.
Transcript text: Write the calculator answer in the correct mathematical form of scientific notation. Indicate if the answer is large or small.
\[
7.9900053 E-15
\]
The correct mathematical form of scientific notation is $7.9900 \times 10^{-15}$.
(Use the multiplication symbol in the math palette as needed.)
Indicate if the answer is large or small. Choose the correct answer below.
A. The answer is large because the exponent is positive.
B. The answer is large because the exponent is negative.
Solution
Solution Steps
To convert the given number into the correct mathematical form of scientific notation, we need to ensure that the number is written as a product of a number between 1 and 10 and a power of 10. Then, we can determine if the number is large or small based on the exponent.
Step 1: Convert to Scientific Notation
The given number \( 7.9900053 \times 10^{-15} \) can be expressed in scientific notation as \( 7.9900 \times 10^{-15} \) by rounding to four significant digits.
Step 2: Determine Size of the Number
Since the exponent in the scientific notation is negative (\(-15\)), this indicates that the number is very small. In mathematical terms, a number is considered small if it is less than \( 1 \).
Final Answer
The correct mathematical form of scientific notation is \( 7.9900 \times 10^{-15} \), and the answer is small. Thus, the final answer is: