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.

state	population
florida	$2.22 \times 10^7$
pennsylvania	$1.3 \times 10^7$
delaware	$1.0 \times 10^6$

1. what is the total population of california, florida, and

pennsylvania? do your calculations using scientific notation. then
write the answer in standard form.

1. approximately how many more people live in florida than live in

pennsylvania? write the answer in scientific notation.

1. approximately how many more people live in california than live in

delaware? write the answer in scientific notation.

1. the population of texas is about 2.3 times the population of

pennsylvania. what is the approximate population of texas? write
the answer in scientific notation.

1. (assumed, as the original has up to 9 but the problem set is 6 - 10, though not fully shown here)

Explanation:

Step1: Sum CA, FL, PA populations

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

Step2: Factor out $10^7$

$10^7 \times (3.9 + 2.22 + 1.3) = 10^7 \times 7.42$

Step3: Convert to standard form

$7.42 \times 10^7 = 74200000$

Step4: Subtract PA from FL

$2.22 \times 10^7 - 1.3 \times 10^7$

Step5: Factor out $10^7$

$10^7 \times (2.22 - 1.3) = 0.92 \times 10^7$

Step6: Adjust to proper scientific notation

$9.2 \times 10^6$

Step7: Rewrite CA to match Delaware's exponent

$3.9 \times 10^7 = 39 \times 10^6$

Step8: Subtract Delaware from CA

$39 \times 10^6 - 1.0 \times 10^6$

Step9: Factor out $10^6$

$10^6 \times (39 - 1.0) = 38 \times 10^6$

Step10: Adjust to proper scientific notation

$3.8 \times 10^7$

Step11: Multiply PA population by 2.3

$2.3 \times 1.3 \times 10^7$

Step12: Calculate coefficient product

$2.99 \times 10^7$

Answer:

1. $7.42 \times 10^7$ (scientific notation), 74200000 (standard form)
2. $9.2 \times 10^6$
3. $3.8 \times 10^7$
4. $2.99 \times 10^7$