Question

work through each problem with your group. show your work. the table shows state populations in 2023. use the information in the table for problems 6 - 10. \

$$\begin{tabular}{|c|c|} \\hline state & population \\\\ \\hline california & $3.9 \\times 10^7$ \\\\ \\hline florida & $2.22 \\times 10^7$ \\\\ \\hline pennsylvania & $1.3 \\times 10^7$ \\\\ \\hline delaware & $1.0 \\times 10^6$ \\\\ \\hline \\end{tabular}$$

1. what is the total population of california, florida, and pennsylvania? do your calculations using scientific notation. then write the answer in standard form.

Explanation:

Step1: List given populations

California: $3.9 \times 10^7$, Florida: $2.22 \times 10^7$, Pennsylvania: $1.3 \times 10^7$

Step2: Factor out common power of 10

$10^7 \times (3.9 + 2.22 + 1.3)$

Step3: Add the coefficients

$3.9 + 2.22 + 1.3 = 7.42$

Step4: Combine into scientific notation

$7.42 \times 10^7$

Step5: Convert to standard form

$7.42 \times 10^7 = 74200000$

Answer:

Scientific notation: $7.42 \times 10^7$
Standard form: $74200000$