Question

which number is written correctly in scientific notation?
25.6 × 10¹²
3,892 × 10⁷
5.03 × 10¹¹
0.459 × 10⁸

Explanation:

Step1: Recall scientific notation rule

Scientific notation requires $1 \leq a < 10$ in $a \times 10^n$.

Step2: Check Option 1

$25.6 \times 10^{12}$: $25.6 \geq 10$, invalid.

Step3: Check Option 2

$3,892 \times 10^{7}$: $3892 \geq 10$, invalid.

Step4: Check Option 3

$5.03 \times 10^{11}$: $1 \leq 5.03 < 10$, valid.

Step5: Check Option 4

$0.459 \times 10^{8}$: $0.459 < 1$, invalid.

Answer:

C. $5.03 \times 10^{11}$