Question

how would you write 564,000,000 in scientific notation?
5.64 × 10⁸
5.64 × 10⁶
5.64 × 10⁻⁷
56.4 × 10⁷

Explanation:

Step1: Define scientific notation rule

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

Step2: Convert 564,000,000 to $a$

Move decimal 8 places left: $a=5.64$

Step3: Determine exponent $n$

Decimal moved 8 places right to recover original number, so $n=8$.

Step4: Form scientific notation

Combine $a$ and $10^n$: $5.64 \times 10^8$

Answer:

A. $5.64 \times 10^8$