To write 473000 in scientific notation, we follow these steps:
1. Identify the most significant digit(s) in the number. For 473000, the most significant digits are 4.73.
2. Determine how many places the decimal point needs to be moved to place it after the first significant digit. In this case, the decimal point would move 5 places to the left to transform 473000 into 4.73.
3. Express the number in the form [tex]\( a \times 10^b \)[/tex], where [tex]\( a \)[/tex] is the significant digit part, and [tex]\( b \)[/tex] is the exponent representing the number of places the decimal point was moved. Since we moved the decimal 5 places to the left, the exponent is +5.
So, 473000 written in scientific notation is:
[tex]\[ 4.73 \times 10^5 \][/tex]
This can also be represented as [tex]\( 4.73e+05 \)[/tex].
