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 $1 \leq a < 10$, and $n$ is the number of places the decimal moves.

Step2: Adjust 564,000,000 to fit $a$

Move decimal 8 places left: $564000000 = 5.64 \times 10^8$

Step3: Match with options

Compare to given choices to find the correct one.

Answer:

$5.64 \times 10^8$