Question

there are 25,400,000 nanometers in 1 inch. write the number of nanometers in 1 inch in scientific notation.

Explanation:

Step1: Recall scientific notation form

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

Step2: Rewrite 25,400,000

Move the decimal point to the left until there is one non - zero digit to the left of the decimal point. For 25,400,000, we move the decimal point 7 places to the left to get \( 2.54 \). The number of places we moved the decimal point is the exponent \( n \), so \( n = 7 \).
So, \( 25400000=2.54\times 10^{7} \)

Answer:

\( 2.54\times 10^{7} \)