Question

convert the following number into scientific notation.
415,620
○ $41.5620 \times 10^{5}$
○ $4.15620 \times 10^{5}$
○ $41.5620 \times 10^{4}$
○ $4.15620 \times 10^{-5}$

Explanation:

Step1: Define scientific notation rule

Scientific notation is $a \times 10^n$, where $1 \leq a < 10$, $n$ is integer.

Step2: Adjust 415,620 to fit $a$

Move decimal left 5 places: $a = 4.15620$

Step3: Determine exponent $n$

Decimal moved left 5 places, so $n=5$

Step4: Match to options

Result is $4.15620 \times 10^5$

Answer:

4.15620 × 10⁵ (Option B: 4.15620 × 10⁵)