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which number is written in correct scientific notation? a 92×10⁴ b 0.92…

Question

which number is written in correct scientific notation?
a 92×10⁴
b 0.92×10⁵
c 9.2×10⁵

Explanation:

Step1: Recall scientific notation rule

Scientific notation is \( a \times 10^n \), where \( 1 \leq |a| < 10 \) and \( n \) is an integer.

Step2: Check Option a

For \( 92 \times 10^4 \), \( 92 \geq 10 \), so it's incorrect.

Step3: Check Option b

For \( 0.92 \times 10^5 \), \( 0.92 < 1 \), so it's incorrect.

Step4: Check Option c

For \( 9.2 \times 10^5 \), \( 1 \leq 9.2 < 10 \), so it's correct.

Answer:

c. \( 9.2 \times 10^5 \)