Alright, let's convert the number [tex]\( 247.9 \times 10^4 \)[/tex] into correct scientific notation.
In scientific notation, a number is expressed as [tex]\( a \times 10^b \)[/tex], where [tex]\( a \)[/tex] is a number greater than or equal to 1 and less than 10, and [tex]\( b \)[/tex] is an integer.
Here are the steps to convert [tex]\( 247.9 \times 10^4 \)[/tex] into scientific notation:
1. Identify the coefficient: We need to adjust [tex]\( 247.9 \)[/tex] so that it becomes a number between 1 and 10.
[tex]\[
247.9 \div 10 = 24.79
\][/tex]
2. Adjust the exponent: Since we divided the original coefficient by 10, we must increase the exponent by 1 to maintain the equality.
[tex]\[
10^4 \text{ becomes } 10^5
\][/tex]
3. Combine the coefficient and the new exponent:
[tex]\[
24.79 \times 10^5
\][/tex]
So, the number [tex]\( 247.9 \times 10^4 \)[/tex] in correct scientific notation is [tex]\( 24.79 \times 10^5 \)[/tex].
Enter [tex]\( 24.79 \)[/tex] in the green box for the coefficient and [tex]\( 5 \)[/tex] in the yellow box for the exponent.
