Question

there are a total of 463,100 books in a library. what is the value of the exponent when this number is written in scientific notation?
○ 4
○ 5
○ 6
○ -5

Explanation:

Step1: Recall scientific notation

Scientific notation is \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.

Step2: Rewrite 463100

To get \( a \) between 1 and 10, we move the decimal: \( 463100 = 4.631 \times 10^n \).

Step3: Find the exponent

Count the number of places the decimal moved. From 463100 to 4.631, the decimal moves 5 places. So \( n = 5 \).

Answer:

B. 5