Question

a honeybee hive may contain up to $4.0 \times 10^4$ honeybees.
what is the number of honeybees in a beehive in standard form?
\\(\bigcirc\\) a. 400
\\(\bigcirc\\) b. 4,000
\\(\bigcirc\\) c. 16,000
\\(\bigcirc\\) d. 40,000
\\(\bigcirc\\) e. 160,000

Explanation:

Step1: Recall scientific notation

Scientific notation \( a\times10^{n} \) (where \( 1\leq a<10 \)) converts to standard form by moving the decimal \( n \) places. For \( 4.0\times10^{4} \), \( n = 4 \), so we move the decimal in 4.0 four places right.

Step2: Convert to standard form

Moving the decimal in 4.0 four places right: \( 4.0\times10^{4}=40000 \).

Answer:

D. 40,000