To express the number [tex]$4,800,000$[/tex] in scientific notation, follow these steps:
1. Identify the significant figures and place the decimal point after the first non-zero digit. In this case, the significant figures are [tex]$4.8$[/tex].
2. Count the number of places the decimal point has moved from its original position to its new position. Starting from [tex]$4,800,000$[/tex], the decimal point moves 6 places to the left to become [tex]$4.8$[/tex].
3. Combine this coefficient with the appropriate power of 10. Since we moved the decimal point 6 places to the left, the exponent will be [tex]$6$[/tex].
Therefore, we can write [tex]$4,800,000$[/tex] in scientific notation as:
[tex]\[
4.8 \times 10^6
\][/tex]
Here, the coefficient is [tex]$4.8$[/tex] and the exponent is [tex]$6$[/tex].
To enter these values:
- The coefficient (green box) is [tex]$4.8$[/tex].
- The exponent (yellow box) is [tex]$6$[/tex].