Question

write 9,642,000 in scientific notation.

Explanation:

Step1: Identify the coefficient

To write a number in scientific notation \( a \times 10^n \), we first find \( a \) such that \( 1\leqslant|a|\lt10 \). For \( 9,642,000 \), we move the decimal point to the left until we get a number between 1 and 10. Moving the decimal point 6 places to the left gives \( a = 9.642 \).

Step2: Determine the exponent

The number of places we moved the decimal point is the exponent \( n \). Since we moved the decimal 6 places to the left, \( n = 6 \).

Step3: Write in scientific notation

Using the form \( a \times 10^n \), we substitute \( a = 9.642 \) and \( n = 6 \) to get \( 9.642\times10^{6} \).

Answer:

\( 9.642\times10^{6} \)