10. From the 2010 census data, the population of Texas was about 2.5 x 107 people. Florida’s population was about 1.9 x 107. Idaho’s population was about 1.6 x 106. Which of the following statements is true?

a)Idaho has a larger population than Florida.

b)Florida has a larger population than Texas.

c)Idaho has the smallest population.

d)Florida has the largest population.

11. What is 8.57 x 10–4 in standard form?

a)85,700

b)0.00857

c)8,570,000

d)0.000857

Please help!! Need answer now!!

To compare the populations of Texas, Florida, and Idaho, let's convert the numbers from scientific notation to standard form for easier comparison:

Texas population: 2.5 x 10^7 = 25,000,000
Florida population: 1.9 x 10^7 = 19,000,000
Idaho population: 1.6 x 10^6 = 1,600,000

To determine the true statement, let's examine each option:

a) Idaho has a larger population than Florida.
False. Idaho's population (1,600,000) is smaller than Florida's population (19,000,000).

b) Florida has a larger population than Texas.
False. Florida's population (19,000,000) is smaller than Texas' population (25,000,000).

c) Idaho has the smallest population.
True. Among the given states, Idaho has the smallest population (1,600,000).

d) Florida has the largest population.
False. Texas has the largest population (25,000,000).

Therefore, the true statement is:
c) Idaho has the smallest population.

Moving on to the next question:

To convert 8.57 x 10^(-4) to standard form:

8.57 x 10^(-4) = 0.000857

The answer in standard form is:
d) 0.000857

To compare the populations of Texas, Florida, and Idaho, we need to convert the given numbers from scientific notation to standard form.

For Texas:
The population is given as 2.5 x 10^7. To convert this to standard form, we need to move the decimal point 7 places to the right since the exponent is positive. The result is 25,000,000.

For Florida:
The population is given as 1.9 x 10^7. Similar to the previous conversion, we move the decimal point 7 places to the right, resulting in 19,000,000.

For Idaho:
The population is given as 1.6 x 10^6. Again, we move the decimal point 6 places to the right since the exponent is positive. The result is 1,600,000.

Now, we can answer the questions:

10. Comparing the populations:

a) Idaho has a larger population than Florida.
This statement is false since 1,600,000 (Idaho's population) is less than 19,000,000 (Florida's population).

b) Florida has a larger population than Texas.
This statement is false since 19,000,000 (Florida's population) is less than 25,000,000 (Texas's population).

c) Idaho has the smallest population.
This statement is true since 1,600,000 (Idaho's population) is smaller than both Texas's and Florida's populations.

d) Florida has the largest population.
This statement is false since 19,000,000 (Florida's population) is not the largest among the given populations (Texas's population is larger).

Therefore, the correct statement is c) Idaho has the smallest population.

11. To convert 8.57 x 10^-4 to standard form, we move the decimal point 4 places to the left since the exponent is negative. The result is 0.000857.

Therefore, the answer is d) 0.000857.

your numbers were probably written as

2.5 x 10^7
which means 2.5 x 10000000 , notice 7 zeros from 10^7
= 25 000 000 --> 25 million

do the same with the other numbers and you will be able to compare their sizes.

8.57 x 10^-4
= 8.57 x 1/10^4
= 8.57 x 1/1000 -----> count the zeros in the denominator
= .000857 -----> how many places to the left has the decimal moved?
does that give you any hints for quick solutions to these kind of problems?

Thank you :)