Question

Which of the following options shows a number in standard notation and its correct scientific notation?

Answer 1

Detailed step-by-step solution:
Scientific notation: $a\times {10}^n$ is said to be in scientific notation if $1\le a<10$, and the exponent n is a positive or negative integer.
Let’s check the options.

A. $0.8694,86.94\times {10}^{-2}:$ The factor $86.94$ does not lie between $1\text{and}10$. Hence, the number is not expressed in scientific notation.

B. $0.8694,0.008694\times {10}^2$: The factor $0.008694$ does not lie between $1\text{and}10$. Hence, the number is not expressed in scientific notation.

C. $0.8694,8.694\times {10}^{-1}$: The factor $8.694$ lies between $1\text{and}10$ and the exponent $-1$ is a negative integer. Hence, the number is expressed in scientific notation.

D. $0.8694,8.694\times {10}^{-4}\times {10}^3$: The number is not in the form of $a\times {10}^n$ . Hence, the number is not expressed in scientific notation.

➡Option C is correct.