Convert the following number into correct scientific notation.

[tex]\[
247.9 \times 10^4 = [?] \times 10^{[?]}
\][/tex]

Enter the coefficient in the green box and the exponent in the yellow box.



Answer :

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.