Questions: The correct mathematical form of scientific notation is 6.258547 × 10^7. (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 small because the exponent is negative.
C. The answer is small because the exponent is positive.
D. The answer is large because the exponent is negative.
Transcript text: The correct mathematical form of scientific notation is $6.258547 \times 10^{7}$. (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 small because the exponent is negative.
C. The answer is small because the exponent is positive.
D. The answer is large because the exponent is negative.
Solution
Solution Steps
To determine if the number in scientific notation is large or small, we need to look at the exponent. If the exponent is positive, the number is large. If the exponent is negative, the number is small.
In this case, the exponent is \(7\), which is positive, so the number is large.
Step 1: Understand the Scientific Notation
The given scientific notation is \(6.258547 \times 10^{7}\). This can be written in standard form as \(62585470.0\).
Step 2: Determine the Exponent
The exponent in the scientific notation \(6.258547 \times 10^{7}\) is \(7\).
Step 3: Analyze the Exponent
Since the exponent \(7\) is positive, the number \(62585470.0\) is large.
Final Answer
The answer is large because the exponent is positive. Therefore, the correct choice is:
\[
\boxed{\text{A}}
\]